update master-with-bazel from master branch
diff --git a/BUILD.generated.bzl b/BUILD.generated.bzl
index 67db23a..26232fc 100644
--- a/BUILD.generated.bzl
+++ b/BUILD.generated.bzl
@@ -172,6 +172,7 @@
"src/include/openssl/evp.h",
"src/include/openssl/evp_errors.h",
"src/include/openssl/ex_data.h",
+ "src/include/openssl/experimental/dilithium.h",
"src/include/openssl/experimental/kyber.h",
"src/include/openssl/experimental/spx.h",
"src/include/openssl/hkdf.h",
@@ -231,6 +232,7 @@
"src/crypto/curve25519/curve25519_tables.h",
"src/crypto/curve25519/internal.h",
"src/crypto/des/internal.h",
+ "src/crypto/dilithium/internal.h",
"src/crypto/dsa/internal.h",
"src/crypto/ec_extra/internal.h",
"src/crypto/err/internal.h",
@@ -367,6 +369,7 @@
"src/crypto/dh_extra/dh_asn1.c",
"src/crypto/dh_extra/params.c",
"src/crypto/digest_extra/digest_extra.c",
+ "src/crypto/dilithium/dilithium.c",
"src/crypto/dsa/dsa.c",
"src/crypto/dsa/dsa_asn1.c",
"src/crypto/ec_extra/ec_asn1.c",
diff --git a/BUILD.generated_tests.bzl b/BUILD.generated_tests.bzl
index 8960bbd..07c4aa4 100644
--- a/BUILD.generated_tests.bzl
+++ b/BUILD.generated_tests.bzl
@@ -12,6 +12,7 @@
"src/crypto/curve25519/curve25519_tables.h",
"src/crypto/curve25519/internal.h",
"src/crypto/des/internal.h",
+ "src/crypto/dilithium/internal.h",
"src/crypto/dsa/internal.h",
"src/crypto/ec_extra/internal.h",
"src/crypto/err/internal.h",
@@ -154,6 +155,7 @@
"src/crypto/curve25519/x25519_test.cc",
"src/crypto/dh_extra/dh_test.cc",
"src/crypto/digest_extra/digest_test.cc",
+ "src/crypto/dilithium/dilithium_test.cc",
"src/crypto/dsa/dsa_test.cc",
"src/crypto/ecdh_extra/ecdh_test.cc",
"src/crypto/err/err_test.cc",
@@ -282,6 +284,7 @@
"src/crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt",
"src/crypto/cipher_extra/test/xchacha20_poly1305_tests.txt",
"src/crypto/curve25519/ed25519_tests.txt",
+ "src/crypto/dilithium/dilithium_tests.txt",
"src/crypto/ecdh_extra/ecdh_tests.txt",
"src/crypto/evp/evp_tests.txt",
"src/crypto/evp/scrypt_tests.txt",
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 6464e20..4c12d5d 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -338,6 +338,7 @@
src/crypto/dh_extra/dh_asn1.c
src/crypto/dh_extra/params.c
src/crypto/digest_extra/digest_extra.c
+ src/crypto/dilithium/dilithium.c
src/crypto/dsa/dsa.c
src/crypto/dsa/dsa_asn1.c
src/crypto/ec_extra/ec_asn1.c
diff --git a/sources.json b/sources.json
index 91bccfd..86f631b 100644
--- a/sources.json
+++ b/sources.json
@@ -81,6 +81,7 @@
"src/crypto/dh_extra/dh_asn1.c",
"src/crypto/dh_extra/params.c",
"src/crypto/digest_extra/digest_extra.c",
+ "src/crypto/dilithium/dilithium.c",
"src/crypto/dsa/dsa.c",
"src/crypto/dsa/dsa_asn1.c",
"src/crypto/ec_extra/ec_asn1.c",
@@ -407,6 +408,7 @@
"src/include/openssl/evp.h",
"src/include/openssl/evp_errors.h",
"src/include/openssl/ex_data.h",
+ "src/include/openssl/experimental/dilithium.h",
"src/include/openssl/experimental/kyber.h",
"src/include/openssl/experimental/spx.h",
"src/include/openssl/hkdf.h",
@@ -465,6 +467,7 @@
"src/crypto/curve25519/curve25519_tables.h",
"src/crypto/curve25519/internal.h",
"src/crypto/des/internal.h",
+ "src/crypto/dilithium/internal.h",
"src/crypto/dsa/internal.h",
"src/crypto/ec_extra/internal.h",
"src/crypto/err/internal.h",
@@ -576,6 +579,7 @@
"src/crypto/curve25519/x25519_test.cc",
"src/crypto/dh_extra/dh_test.cc",
"src/crypto/digest_extra/digest_test.cc",
+ "src/crypto/dilithium/dilithium_test.cc",
"src/crypto/dsa/dsa_test.cc",
"src/crypto/ecdh_extra/ecdh_test.cc",
"src/crypto/err/err_test.cc",
@@ -660,6 +664,7 @@
"src/crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt",
"src/crypto/cipher_extra/test/xchacha20_poly1305_tests.txt",
"src/crypto/curve25519/ed25519_tests.txt",
+ "src/crypto/dilithium/dilithium_tests.txt",
"src/crypto/ecdh_extra/ecdh_tests.txt",
"src/crypto/evp/evp_tests.txt",
"src/crypto/evp/scrypt_tests.txt",
diff --git a/src/build.json b/src/build.json
index 1169344..efd7d77 100644
--- a/src/build.json
+++ b/src/build.json
@@ -229,6 +229,7 @@
"crypto/dh_extra/params.c",
"crypto/dh_extra/dh_asn1.c",
"crypto/digest_extra/digest_extra.c",
+ "crypto/dilithium/dilithium.c",
"crypto/dsa/dsa.c",
"crypto/dsa/dsa_asn1.c",
"crypto/ecdh_extra/ecdh_extra.c",
@@ -424,6 +425,7 @@
"include/openssl/evp.h",
"include/openssl/evp_errors.h",
"include/openssl/ex_data.h",
+ "include/openssl/experimental/dilithium.h",
"include/openssl/experimental/kyber.h",
"include/openssl/experimental/spx.h",
"include/openssl/hkdf.h",
@@ -482,6 +484,7 @@
"crypto/curve25519/curve25519_tables.h",
"crypto/curve25519/internal.h",
"crypto/des/internal.h",
+ "crypto/dilithium/internal.h",
"crypto/dsa/internal.h",
"crypto/ec_extra/internal.h",
"crypto/err/internal.h",
@@ -799,6 +802,7 @@
"crypto/ecdh_extra/ecdh_test.cc",
"crypto/dh_extra/dh_test.cc",
"crypto/digest_extra/digest_test.cc",
+ "crypto/dilithium/dilithium_test.cc",
"crypto/dsa/dsa_test.cc",
"crypto/err/err_test.cc",
"crypto/evp/evp_extra_test.cc",
@@ -853,6 +857,7 @@
"crypto/cipher_extra/test/*.txt",
"crypto/cipher_extra/test/nist_cavp/*.txt",
"crypto/curve25519/ed25519_tests.txt",
+ "crypto/dilithium/dilithium_tests.txt",
"crypto/ecdh_extra/ecdh_tests.txt",
"crypto/evp/evp_tests.txt",
"crypto/evp/scrypt_tests.txt",
diff --git a/src/crypto/dilithium/dilithium.c b/src/crypto/dilithium/dilithium.c
new file mode 100644
index 0000000..a709fcf
--- /dev/null
+++ b/src/crypto/dilithium/dilithium.c
@@ -0,0 +1,1459 @@
+/* Copyright (c) 2023, Google LLC
+ *
+ * Permission to use, copy, modify, and/or distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+ * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
+ * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+ * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
+
+#define OPENSSL_UNSTABLE_EXPERIMENTAL_DILITHIUM
+#include <openssl/experimental/dilithium.h>
+
+#include <assert.h>
+#include <stdlib.h>
+
+#include <openssl/bytestring.h>
+#include <openssl/rand.h>
+
+#include "../internal.h"
+#include "../keccak/internal.h"
+#include "./internal.h"
+
+#define DEGREE 256
+#define K 6
+#define L 5
+#define ETA 4
+#define TAU 49
+#define BETA 196
+#define OMEGA 55
+
+#define RHO_BYTES 32
+#define SIGMA_BYTES 64
+#define K_BYTES 32
+#define TR_BYTES 64
+#define MU_BYTES 64
+#define RHO_PRIME_BYTES 64
+#define LAMBDA_BITS 192
+#define LAMBDA_BYTES (LAMBDA_BITS / 8)
+
+// 2^23 - 2^13 + 1
+static const uint32_t kPrime = 8380417;
+// Inverse of -kPrime modulo 2^32
+static const uint32_t kPrimeNegInverse = 4236238847;
+static const int kDroppedBits = 13;
+static const uint32_t kHalfPrime = (8380417 - 1) / 2;
+static const uint32_t kGamma1 = 1 << 19;
+static const uint32_t kGamma2 = (8380417 - 1) / 32;
+// 256^-1 mod kPrime, in Montgomery form.
+static const uint32_t kInverseDegreeMontgomery = 41978;
+
+typedef struct scalar {
+ uint32_t c[DEGREE];
+} scalar;
+
+typedef struct vectork {
+ scalar v[K];
+} vectork;
+
+typedef struct vectorl {
+ scalar v[L];
+} vectorl;
+
+typedef struct matrix {
+ scalar v[K][L];
+} matrix;
+
+/* Arithmetic */
+
+// This bit of Python will be referenced in some of the following comments:
+//
+// q = 8380417
+// # Inverse of -q modulo 2^32
+// q_neg_inverse = 4236238847
+// # 2^64 modulo q
+// montgomery_square = 2365951
+//
+// def bitreverse(i):
+// ret = 0
+// for n in range(8):
+// bit = i & 1
+// ret <<= 1
+// ret |= bit
+// i >>= 1
+// return ret
+//
+// def montgomery_reduce(x):
+// a = (x * q_neg_inverse) % 2**32
+// b = x + a * q
+// assert b & 0xFFFF_FFFF == 0
+// c = b >> 32
+// assert c < q
+// return c
+//
+// def montgomery_transform(x):
+// return montgomery_reduce(x * montgomery_square)
+
+// kNTTRootsMontgomery = [
+// montgomery_transform(pow(1753, bitreverse(i), q)) for i in range(256)
+// ]
+static const uint32_t kNTTRootsMontgomery[256] = {
+ 4193792, 25847, 5771523, 7861508, 237124, 7602457, 7504169, 466468,
+ 1826347, 2353451, 8021166, 6288512, 3119733, 5495562, 3111497, 2680103,
+ 2725464, 1024112, 7300517, 3585928, 7830929, 7260833, 2619752, 6271868,
+ 6262231, 4520680, 6980856, 5102745, 1757237, 8360995, 4010497, 280005,
+ 2706023, 95776, 3077325, 3530437, 6718724, 4788269, 5842901, 3915439,
+ 4519302, 5336701, 3574422, 5512770, 3539968, 8079950, 2348700, 7841118,
+ 6681150, 6736599, 3505694, 4558682, 3507263, 6239768, 6779997, 3699596,
+ 811944, 531354, 954230, 3881043, 3900724, 5823537, 2071892, 5582638,
+ 4450022, 6851714, 4702672, 5339162, 6927966, 3475950, 2176455, 6795196,
+ 7122806, 1939314, 4296819, 7380215, 5190273, 5223087, 4747489, 126922,
+ 3412210, 7396998, 2147896, 2715295, 5412772, 4686924, 7969390, 5903370,
+ 7709315, 7151892, 8357436, 7072248, 7998430, 1349076, 1852771, 6949987,
+ 5037034, 264944, 508951, 3097992, 44288, 7280319, 904516, 3958618,
+ 4656075, 8371839, 1653064, 5130689, 2389356, 8169440, 759969, 7063561,
+ 189548, 4827145, 3159746, 6529015, 5971092, 8202977, 1315589, 1341330,
+ 1285669, 6795489, 7567685, 6940675, 5361315, 4499357, 4751448, 3839961,
+ 2091667, 3407706, 2316500, 3817976, 5037939, 2244091, 5933984, 4817955,
+ 266997, 2434439, 7144689, 3513181, 4860065, 4621053, 7183191, 5187039,
+ 900702, 1859098, 909542, 819034, 495491, 6767243, 8337157, 7857917,
+ 7725090, 5257975, 2031748, 3207046, 4823422, 7855319, 7611795, 4784579,
+ 342297, 286988, 5942594, 4108315, 3437287, 5038140, 1735879, 203044,
+ 2842341, 2691481, 5790267, 1265009, 4055324, 1247620, 2486353, 1595974,
+ 4613401, 1250494, 2635921, 4832145, 5386378, 1869119, 1903435, 7329447,
+ 7047359, 1237275, 5062207, 6950192, 7929317, 1312455, 3306115, 6417775,
+ 7100756, 1917081, 5834105, 7005614, 1500165, 777191, 2235880, 3406031,
+ 7838005, 5548557, 6709241, 6533464, 5796124, 4656147, 594136, 4603424,
+ 6366809, 2432395, 2454455, 8215696, 1957272, 3369112, 185531, 7173032,
+ 5196991, 162844, 1616392, 3014001, 810149, 1652634, 4686184, 6581310,
+ 5341501, 3523897, 3866901, 269760, 2213111, 7404533, 1717735, 472078,
+ 7953734, 1723600, 6577327, 1910376, 6712985, 7276084, 8119771, 4546524,
+ 5441381, 6144432, 7959518, 6094090, 183443, 7403526, 1612842, 4834730,
+ 7826001, 3919660, 8332111, 7018208, 3937738, 1400424, 7534263, 1976782};
+
+// Reduces x mod kPrime in constant time, where 0 <= x < 2*kPrime.
+static uint32_t reduce_once(uint32_t x) {
+ assert(x < 2 * kPrime);
+ // return x < kPrime ? x : x - kPrime;
+ return constant_time_select_int(constant_time_lt_w(x, kPrime), x, x - kPrime);
+}
+
+// Returns the absolute value in constant time.
+static uint32_t abs_signed(uint32_t x) {
+ // return is_positive(x) ? x : -x;
+ // Note: MSVC doesn't like applying the unary minus operator to unsigned types
+ // (warning C4146), so we write the negation as a bitwise not plus one
+ // (assuming two's complement representation).
+ return constant_time_select_int(constant_time_lt_w(x, 0x80000000), x, ~x + 1);
+}
+
+// Returns the absolute value modulo kPrime.
+static uint32_t abs_mod_prime(uint32_t x) {
+ assert(x < kPrime);
+ // return x > kHalfPrime ? kPrime - x : x;
+ return constant_time_select_int(constant_time_lt_w(kHalfPrime, x), kPrime - x,
+ x);
+}
+
+// Returns the maximum of two values in constant time.
+static uint32_t maximum(uint32_t x, uint32_t y) {
+ // return x < y ? y : x;
+ return constant_time_select_int(constant_time_lt_w(x, y), y, x);
+}
+
+static void scalar_add(scalar *out, const scalar *lhs, const scalar *rhs) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = reduce_once(lhs->c[i] + rhs->c[i]);
+ }
+}
+
+static void scalar_sub(scalar *out, const scalar *lhs, const scalar *rhs) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = reduce_once(kPrime + lhs->c[i] - rhs->c[i]);
+ }
+}
+
+static uint32_t reduce_montgomery(uint64_t x) {
+ uint64_t a = (uint32_t)x * kPrimeNegInverse;
+ uint64_t b = x + a * kPrime;
+ assert((b & 0xffffffff) == 0);
+ uint32_t c = b >> 32;
+ return reduce_once(c);
+}
+
+// Multiply two scalars in the number theoretically transformed state.
+static void scalar_mult(scalar *out, const scalar *lhs, const scalar *rhs) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = reduce_montgomery((uint64_t)lhs->c[i] * (uint64_t)rhs->c[i]);
+ }
+}
+
+// In place number theoretic transform of a given scalar.
+//
+// FIPS 204, Algorithm 35 (`NTT`).
+static void scalar_ntt(scalar *s) {
+ // Step: 1, 2, 4, 8, ..., 128
+ // Offset: 128, 64, 32, 16, ..., 1
+ int offset = DEGREE;
+ for (int step = 1; step < DEGREE; step <<= 1) {
+ offset >>= 1;
+ int k = 0;
+ for (int i = 0; i < step; i++) {
+ assert(k == 2 * offset * i);
+ const uint32_t step_root = kNTTRootsMontgomery[step + i];
+ for (int j = k; j < k + offset; j++) {
+ uint32_t even = s->c[j];
+ uint32_t odd =
+ reduce_montgomery((uint64_t)step_root * (uint64_t)s->c[j + offset]);
+ s->c[j] = reduce_once(odd + even);
+ s->c[j + offset] = reduce_once(kPrime + even - odd);
+ }
+ k += 2 * offset;
+ }
+ }
+}
+
+// In place inverse number theoretic transform of a given scalar.
+//
+// FIPS 204, Algorithm 36 (`NTT^-1`).
+static void scalar_inverse_ntt(scalar *s) {
+ // Step: 128, 64, 32, 16, ..., 1
+ // Offset: 1, 2, 4, 8, ..., 128
+ int step = DEGREE;
+ for (int offset = 1; offset < DEGREE; offset <<= 1) {
+ step >>= 1;
+ int k = 0;
+ for (int i = 0; i < step; i++) {
+ assert(k == 2 * offset * i);
+ const uint32_t step_root =
+ kPrime - kNTTRootsMontgomery[step + (step - 1 - i)];
+ for (int j = k; j < k + offset; j++) {
+ uint32_t even = s->c[j];
+ uint32_t odd = s->c[j + offset];
+ s->c[j] = reduce_once(odd + even);
+ s->c[j + offset] = reduce_montgomery((uint64_t)step_root *
+ (uint64_t)(kPrime + even - odd));
+ }
+ k += 2 * offset;
+ }
+ }
+ for (int i = 0; i < DEGREE; i++) {
+ s->c[i] = reduce_montgomery((uint64_t)s->c[i] *
+ (uint64_t)kInverseDegreeMontgomery);
+ }
+}
+
+static void vectork_zero(vectork *out) { OPENSSL_memset(out, 0, sizeof(*out)); }
+
+static void vectork_add(vectork *out, const vectork *lhs, const vectork *rhs) {
+ for (int i = 0; i < K; i++) {
+ scalar_add(&out->v[i], &lhs->v[i], &rhs->v[i]);
+ }
+}
+
+static void vectork_sub(vectork *out, const vectork *lhs, const vectork *rhs) {
+ for (int i = 0; i < K; i++) {
+ scalar_sub(&out->v[i], &lhs->v[i], &rhs->v[i]);
+ }
+}
+
+static void vectork_mult_scalar(vectork *out, const vectork *lhs,
+ const scalar *rhs) {
+ for (int i = 0; i < K; i++) {
+ scalar_mult(&out->v[i], &lhs->v[i], rhs);
+ }
+}
+
+static void vectork_ntt(vectork *a) {
+ for (int i = 0; i < K; i++) {
+ scalar_ntt(&a->v[i]);
+ }
+}
+
+static void vectork_inverse_ntt(vectork *a) {
+ for (int i = 0; i < K; i++) {
+ scalar_inverse_ntt(&a->v[i]);
+ }
+}
+
+static void vectorl_add(vectorl *out, const vectorl *lhs, const vectorl *rhs) {
+ for (int i = 0; i < L; i++) {
+ scalar_add(&out->v[i], &lhs->v[i], &rhs->v[i]);
+ }
+}
+
+static void vectorl_mult_scalar(vectorl *out, const vectorl *lhs,
+ const scalar *rhs) {
+ for (int i = 0; i < L; i++) {
+ scalar_mult(&out->v[i], &lhs->v[i], rhs);
+ }
+}
+
+static void vectorl_ntt(vectorl *a) {
+ for (int i = 0; i < L; i++) {
+ scalar_ntt(&a->v[i]);
+ }
+}
+
+static void vectorl_inverse_ntt(vectorl *a) {
+ for (int i = 0; i < L; i++) {
+ scalar_inverse_ntt(&a->v[i]);
+ }
+}
+
+static void matrix_mult(vectork *out, const matrix *m, const vectorl *a) {
+ vectork_zero(out);
+ for (int i = 0; i < K; i++) {
+ for (int j = 0; j < L; j++) {
+ scalar product;
+ scalar_mult(&product, &m->v[i][j], &a->v[j]);
+ scalar_add(&out->v[i], &out->v[i], &product);
+ }
+ }
+}
+
+/* Rounding & hints */
+
+// FIPS 204, Algorithm 29 (`Power2Round`).
+static void power2_round(uint32_t *r1, uint32_t *r0, uint32_t r) {
+ *r1 = r >> kDroppedBits;
+ *r0 = r - (*r1 << kDroppedBits);
+
+ uint32_t r0_adjusted = reduce_once(kPrime + *r0 - (1 << kDroppedBits));
+ uint32_t r1_adjusted = *r1 + 1;
+
+ // Mask is set iff r0 > 2^(dropped_bits - 1).
+ crypto_word_t mask =
+ constant_time_lt_w((uint32_t)(1 << (kDroppedBits - 1)), *r0);
+ // r0 = mask ? r0_adjusted : r0
+ *r0 = constant_time_select_int(mask, r0_adjusted, *r0);
+ // r1 = mask ? r1_adjusted : r1
+ *r1 = constant_time_select_int(mask, r1_adjusted, *r1);
+}
+
+// Scale back previously rounded value.
+static void scale_power2_round(uint32_t *out, uint32_t r1) {
+ // Pre-condition: 0 <= r1 <= 2^10 - 1
+ *out = r1 << kDroppedBits;
+ // Post-condition: 0 <= out <= 2^23 - 2^13 = kPrime - 1
+ assert(*out < kPrime);
+}
+
+// FIPS 204, Algorithm 31 (`HighBits`).
+static uint32_t high_bits(uint32_t x) {
+ // Reference description (given 0 <= x < q):
+ //
+ // ```
+ // int32_t r0 = x mod+- (2 * kGamma2);
+ // if (x - r0 == q - 1) {
+ // return 0;
+ // } else {
+ // return (x - r0) / (2 * kGamma2);
+ // }
+ // ```
+ //
+ // Below is the formula taken from the reference implementation.
+ //
+ // Here, kGamma2 == 2^18 - 2^8
+ // This returns ((ceil(x / 2^7) * (2^10 + 1) + 2^21) / 2^22) mod 2^4
+ uint32_t r1 = (x + 127) >> 7;
+ r1 = (r1 * 1025 + (1 << 21)) >> 22;
+ r1 &= 15;
+ return r1;
+}
+
+// FIPS 204, Algorithm 30 (`Decompose`).
+static void decompose(uint32_t *r1, int32_t *r0, uint32_t r) {
+ *r1 = high_bits(r);
+
+ *r0 = r;
+ *r0 -= *r1 * 2 * (int32_t)kGamma2;
+ *r0 -= (((int32_t)kHalfPrime - *r0) >> 31) & (int32_t)kPrime;
+}
+
+// FIPS 204, Algorithm 32 (`LowBits`).
+static int32_t low_bits(uint32_t x) {
+ uint32_t r1;
+ int32_t r0;
+ decompose(&r1, &r0, x);
+ return r0;
+}
+
+// FIPS 204, Algorithm 33 (`MakeHint`).
+static int32_t make_hint(uint32_t ct0, uint32_t cs2, uint32_t w) {
+ uint32_t r_plus_z = reduce_once(kPrime + w - cs2);
+ uint32_t r = reduce_once(r_plus_z + ct0);
+ return high_bits(r) != high_bits(r_plus_z);
+}
+
+// FIPS 204, Algorithm 34 (`UseHint`).
+static uint32_t use_hint_vartime(uint32_t h, uint32_t r) {
+ uint32_t r1;
+ int32_t r0;
+ decompose(&r1, &r0, r);
+
+ if (h) {
+ if (r0 > 0) {
+ return (r1 + 1) & 15;
+ } else {
+ return (r1 - 1) & 15;
+ }
+ } else {
+ return r1;
+ }
+}
+
+static void scalar_power2_round(scalar *s1, scalar *s0, const scalar *s) {
+ for (int i = 0; i < DEGREE; i++) {
+ power2_round(&s1->c[i], &s0->c[i], s->c[i]);
+ }
+}
+
+static void scalar_scale_power2_round(scalar *out, const scalar *in) {
+ for (int i = 0; i < DEGREE; i++) {
+ scale_power2_round(&out->c[i], in->c[i]);
+ }
+}
+
+static void scalar_high_bits(scalar *out, const scalar *in) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = high_bits(in->c[i]);
+ }
+}
+
+static void scalar_low_bits(scalar *out, const scalar *in) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = low_bits(in->c[i]);
+ }
+}
+
+static void scalar_max(uint32_t *max, const scalar *s) {
+ for (int i = 0; i < DEGREE; i++) {
+ uint32_t abs = abs_mod_prime(s->c[i]);
+ *max = maximum(*max, abs);
+ }
+}
+
+static void scalar_max_signed(uint32_t *max, const scalar *s) {
+ for (int i = 0; i < DEGREE; i++) {
+ uint32_t abs = abs_signed(s->c[i]);
+ *max = maximum(*max, abs);
+ }
+}
+
+static void scalar_make_hint(scalar *out, const scalar *ct0, const scalar *cs2,
+ const scalar *w) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = make_hint(ct0->c[i], cs2->c[i], w->c[i]);
+ }
+}
+
+static void scalar_use_hint_vartime(scalar *out, const scalar *h,
+ const scalar *r) {
+ for (int i = 0; i < DEGREE; i++) {
+ out->c[i] = use_hint_vartime(h->c[i], r->c[i]);
+ }
+}
+
+static void vectork_power2_round(vectork *t1, vectork *t0, const vectork *t) {
+ for (int i = 0; i < K; i++) {
+ scalar_power2_round(&t1->v[i], &t0->v[i], &t->v[i]);
+ }
+}
+
+static void vectork_scale_power2_round(vectork *out, const vectork *in) {
+ for (int i = 0; i < K; i++) {
+ scalar_scale_power2_round(&out->v[i], &in->v[i]);
+ }
+}
+
+static void vectork_high_bits(vectork *out, const vectork *in) {
+ for (int i = 0; i < K; i++) {
+ scalar_high_bits(&out->v[i], &in->v[i]);
+ }
+}
+
+static void vectork_low_bits(vectork *out, const vectork *in) {
+ for (int i = 0; i < K; i++) {
+ scalar_low_bits(&out->v[i], &in->v[i]);
+ }
+}
+
+static uint32_t vectork_max(const vectork *a) {
+ uint32_t max = 0;
+ for (int i = 0; i < K; i++) {
+ scalar_max(&max, &a->v[i]);
+ }
+ return max;
+}
+
+static uint32_t vectork_max_signed(const vectork *a) {
+ uint32_t max = 0;
+ for (int i = 0; i < K; i++) {
+ scalar_max_signed(&max, &a->v[i]);
+ }
+ return max;
+}
+
+// The input vector contains only zeroes and ones.
+static size_t vectork_count_ones(const vectork *a) {
+ size_t count = 0;
+ for (int i = 0; i < K; i++) {
+ for (int j = 0; j < DEGREE; j++) {
+ count += a->v[i].c[j];
+ }
+ }
+ return count;
+}
+
+static void vectork_make_hint(vectork *out, const vectork *ct0,
+ const vectork *cs2, const vectork *w) {
+ for (int i = 0; i < K; i++) {
+ scalar_make_hint(&out->v[i], &ct0->v[i], &cs2->v[i], &w->v[i]);
+ }
+}
+
+static void vectork_use_hint_vartime(vectork *out, const vectork *h,
+ const vectork *r) {
+ for (int i = 0; i < K; i++) {
+ scalar_use_hint_vartime(&out->v[i], &h->v[i], &r->v[i]);
+ }
+}
+
+static uint32_t vectorl_max(const vectorl *a) {
+ uint32_t max = 0;
+ for (int i = 0; i < L; i++) {
+ scalar_max(&max, &a->v[i]);
+ }
+ return max;
+}
+
+/* Bit packing */
+
+static const uint8_t kMasks[8] = {0x01, 0x03, 0x07, 0x0f,
+ 0x1f, 0x3f, 0x7f, 0xff};
+
+// FIPS 204, Algorithm 10 (`SimpleBitPack`).
+static void scalar_encode(uint8_t *out, const scalar *s, int bits) {
+ assert(bits <= (int)sizeof(*s->c) * 8 && bits != 1);
+
+ uint8_t out_byte = 0;
+ int out_byte_bits = 0;
+
+ for (int i = 0; i < DEGREE; i++) {
+ uint32_t element = s->c[i];
+ int element_bits_done = 0;
+
+ while (element_bits_done < bits) {
+ int chunk_bits = bits - element_bits_done;
+ int out_bits_remaining = 8 - out_byte_bits;
+ if (chunk_bits >= out_bits_remaining) {
+ chunk_bits = out_bits_remaining;
+ out_byte |= (element & kMasks[chunk_bits - 1]) << out_byte_bits;
+ *out = out_byte;
+ out++;
+ out_byte_bits = 0;
+ out_byte = 0;
+ } else {
+ out_byte |= (element & kMasks[chunk_bits - 1]) << out_byte_bits;
+ out_byte_bits += chunk_bits;
+ }
+
+ element_bits_done += chunk_bits;
+ element >>= chunk_bits;
+ }
+ }
+
+ if (out_byte_bits > 0) {
+ *out = out_byte;
+ }
+}
+
+// FIPS 204, Algorithm 11 (`BitPack`).
+static void scalar_encode_signed(uint8_t *out, const scalar *s, int bits,
+ uint32_t max) {
+ assert(bits <= (int)sizeof(*s->c) * 8 && bits != 1);
+
+ uint8_t out_byte = 0;
+ int out_byte_bits = 0;
+
+ for (int i = 0; i < DEGREE; i++) {
+ uint32_t element = reduce_once(kPrime + max - s->c[i]);
+ assert(element <= 2 * max);
+ int element_bits_done = 0;
+
+ while (element_bits_done < bits) {
+ int chunk_bits = bits - element_bits_done;
+ int out_bits_remaining = 8 - out_byte_bits;
+ if (chunk_bits >= out_bits_remaining) {
+ chunk_bits = out_bits_remaining;
+ out_byte |= (element & kMasks[chunk_bits - 1]) << out_byte_bits;
+ *out = out_byte;
+ out++;
+ out_byte_bits = 0;
+ out_byte = 0;
+ } else {
+ out_byte |= (element & kMasks[chunk_bits - 1]) << out_byte_bits;
+ out_byte_bits += chunk_bits;
+ }
+
+ element_bits_done += chunk_bits;
+ element >>= chunk_bits;
+ }
+ }
+
+ if (out_byte_bits > 0) {
+ *out = out_byte;
+ }
+}
+
+// FIPS 204, Algorithm 12 (`SimpleBitUnpack`).
+static void scalar_decode(scalar *out, const uint8_t *in, int bits) {
+ assert(bits <= (int)sizeof(*out->c) * 8 && bits != 1);
+
+ uint8_t in_byte = 0;
+ int in_byte_bits_left = 0;
+
+ for (int i = 0; i < DEGREE; i++) {
+ uint32_t element = 0;
+ int element_bits_done = 0;
+
+ while (element_bits_done < bits) {
+ if (in_byte_bits_left == 0) {
+ in_byte = *in;
+ in++;
+ in_byte_bits_left = 8;
+ }
+
+ int chunk_bits = bits - element_bits_done;
+ if (chunk_bits > in_byte_bits_left) {
+ chunk_bits = in_byte_bits_left;
+ }
+
+ element |= (in_byte & kMasks[chunk_bits - 1]) << element_bits_done;
+ in_byte_bits_left -= chunk_bits;
+ in_byte >>= chunk_bits;
+
+ element_bits_done += chunk_bits;
+ }
+
+ out->c[i] = element;
+ }
+}
+
+// FIPS 204, Algorithm 13 (`BitUnpack`).
+static int scalar_decode_signed(scalar *out, const uint8_t *in, int bits,
+ uint32_t max) {
+ assert(bits <= (int)sizeof(*out->c) * 8 && bits != 1);
+
+ uint8_t in_byte = 0;
+ int in_byte_bits_left = 0;
+
+ for (int i = 0; i < DEGREE; i++) {
+ uint32_t element = 0;
+ int element_bits_done = 0;
+
+ while (element_bits_done < bits) {
+ if (in_byte_bits_left == 0) {
+ in_byte = *in;
+ in++;
+ in_byte_bits_left = 8;
+ }
+
+ int chunk_bits = bits - element_bits_done;
+ if (chunk_bits > in_byte_bits_left) {
+ chunk_bits = in_byte_bits_left;
+ }
+
+ element |= (in_byte & kMasks[chunk_bits - 1]) << element_bits_done;
+ in_byte_bits_left -= chunk_bits;
+ in_byte >>= chunk_bits;
+
+ element_bits_done += chunk_bits;
+ }
+
+ if (element > 2 * max) {
+ return 0;
+ }
+ out->c[i] = reduce_once(kPrime + max - element);
+ }
+
+ return 1;
+}
+
+/* Expansion functions */
+
+// FIPS 204, Algorithm 24 (`RejNTTPoly`).
+//
+// Rejection samples a Keccak stream to get uniformly distributed elements. This
+// is used for matrix expansion and only operates on public inputs.
+static void scalar_from_keccak_vartime(
+ scalar *out, const uint8_t derived_seed[RHO_BYTES + 2]) {
+ struct BORINGSSL_keccak_st keccak_ctx;
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake128);
+ BORINGSSL_keccak_absorb(&keccak_ctx, derived_seed, RHO_BYTES + 2);
+ assert(keccak_ctx.squeeze_offset == 0);
+ assert(keccak_ctx.rate_bytes == 168);
+ static_assert(168 % 3 == 0, "block and coefficient boundaries do not align");
+
+ int done = 0;
+ while (done < DEGREE) {
+ uint8_t block[168];
+ BORINGSSL_keccak_squeeze(&keccak_ctx, block, sizeof(block));
+ for (size_t i = 0; i < sizeof(block) && done < DEGREE; i += 3) {
+ // FIPS 204, Algorithm 8 (`CoeffFromThreeBytes`).
+ uint32_t value = (uint32_t)block[i] | ((uint32_t)block[i + 1] << 8) |
+ (((uint32_t)block[i + 2] & 0x7f) << 16);
+ if (value < kPrime) {
+ out->c[done++] = value;
+ }
+ }
+ }
+}
+
+// FIPS 204, Algorithm 25 (`RejBoundedPoly`).
+static void scalar_uniform_eta_4_vartime(
+ scalar *out, const uint8_t derived_seed[SIGMA_BYTES + 2]) {
+ static_assert(ETA == 4, "This implementation is specialized for ETA == 4");
+
+ struct BORINGSSL_keccak_st keccak_ctx;
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, derived_seed, SIGMA_BYTES + 2);
+ assert(keccak_ctx.squeeze_offset == 0);
+ assert(keccak_ctx.rate_bytes == 136);
+
+ int done = 0;
+ while (done < DEGREE) {
+ uint8_t block[136];
+ BORINGSSL_keccak_squeeze(&keccak_ctx, block, sizeof(block));
+ for (size_t i = 0; i < sizeof(block) && done < DEGREE; ++i) {
+ uint32_t t0 = block[i] & 0x0F;
+ uint32_t t1 = block[i] >> 4;
+ // FIPS 204, Algorithm 9 (`CoefFromHalfByte`).
+ if (t0 < 9) {
+ out->c[done++] = reduce_once(kPrime + ETA - t0);
+ }
+ if (done < DEGREE && t1 < 9) {
+ out->c[done++] = reduce_once(kPrime + ETA - t1);
+ }
+ }
+ }
+}
+
+// FIPS 204, Algorithm 28 (`ExpandMask`).
+static void scalar_sample_mask(
+ scalar *out, const uint8_t derived_seed[RHO_PRIME_BYTES + 2]) {
+ uint8_t buf[640];
+ BORINGSSL_keccak(buf, sizeof(buf), derived_seed, RHO_PRIME_BYTES + 2,
+ boringssl_shake256);
+
+ // Note: Decoding 20 bits into (-2^19, 2^19] cannot fail.
+ scalar_decode_signed(out, buf, 20, 1 << 19);
+}
+
+// FIPS 204, Algorithm 23 (`SampleInBall`).
+static void scalar_sample_in_ball_vartime(scalar *out, const uint8_t *seed,
+ int len) {
+ assert(len == 32);
+
+ struct BORINGSSL_keccak_st keccak_ctx;
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, seed, len);
+ assert(keccak_ctx.squeeze_offset == 0);
+ assert(keccak_ctx.rate_bytes == 136);
+
+ uint8_t block[136];
+ BORINGSSL_keccak_squeeze(&keccak_ctx, block, sizeof(block));
+
+ uint64_t signs = CRYPTO_load_u64_le(block);
+ int offset = 8;
+
+ OPENSSL_memset(out, 0, sizeof(*out));
+ for (size_t i = DEGREE - TAU; i < DEGREE; i++) {
+ size_t byte;
+ for (;;) {
+ if (offset == 136) {
+ BORINGSSL_keccak_squeeze(&keccak_ctx, block, sizeof(block));
+ offset = 0;
+ }
+
+ byte = block[offset++];
+ if (byte <= i) {
+ break;
+ }
+ }
+
+ out->c[i] = out->c[byte];
+ out->c[byte] = reduce_once(kPrime + 1 - 2 * (signs & 1));
+ signs >>= 1;
+ }
+}
+
+// FIPS 204, Algorithm 26 (`ExpandA`).
+static void matrix_expand(matrix *out, const uint8_t rho[RHO_BYTES]) {
+ static_assert(K <= 0x100, "K must fit in 8 bits");
+ static_assert(L <= 0x100, "L must fit in 8 bits");
+
+ uint8_t derived_seed[RHO_BYTES + 2];
+ OPENSSL_memcpy(derived_seed, rho, RHO_BYTES);
+ for (int i = 0; i < K; i++) {
+ for (int j = 0; j < L; j++) {
+ derived_seed[RHO_BYTES + 1] = i;
+ derived_seed[RHO_BYTES] = j;
+ scalar_from_keccak_vartime(&out->v[i][j], derived_seed);
+ }
+ }
+}
+
+// FIPS 204, Algorithm 27 (`ExpandS`).
+static void vector_expand_short_vartime(vectorl *s1, vectork *s2,
+ const uint8_t sigma[SIGMA_BYTES]) {
+ static_assert(K <= 0x100, "K must fit in 8 bits");
+ static_assert(L <= 0x100, "L must fit in 8 bits");
+ static_assert(K + L <= 0x100, "K+L must fit in 8 bits");
+
+ uint8_t derived_seed[SIGMA_BYTES + 2];
+ OPENSSL_memcpy(derived_seed, sigma, SIGMA_BYTES);
+ derived_seed[SIGMA_BYTES] = 0;
+ derived_seed[SIGMA_BYTES + 1] = 0;
+ for (int i = 0; i < L; i++) {
+ scalar_uniform_eta_4_vartime(&s1->v[i], derived_seed);
+ ++derived_seed[SIGMA_BYTES];
+ }
+ for (int i = 0; i < K; i++) {
+ scalar_uniform_eta_4_vartime(&s2->v[i], derived_seed);
+ ++derived_seed[SIGMA_BYTES];
+ }
+}
+
+// FIPS 204, Algorithm 28 (`ExpandMask`).
+static void vectorl_expand_mask(vectorl *out,
+ const uint8_t seed[RHO_PRIME_BYTES],
+ size_t kappa) {
+ assert(kappa + L <= 0x10000);
+
+ uint8_t derived_seed[RHO_PRIME_BYTES + 2];
+ OPENSSL_memcpy(derived_seed, seed, RHO_PRIME_BYTES);
+ for (int i = 0; i < L; i++) {
+ size_t index = kappa + i;
+ derived_seed[RHO_PRIME_BYTES] = index & 0xFF;
+ derived_seed[RHO_PRIME_BYTES + 1] = (index >> 8) & 0xFF;
+ scalar_sample_mask(&out->v[i], derived_seed);
+ }
+}
+
+/* Encoding */
+
+// FIPS 204, Algorithm 10 (`SimpleBitPack`).
+//
+// Encodes an entire vector into 32*K*|bits| bytes. Note that since 256 (DEGREE)
+// is divisible by 8, the individual vector entries will always fill a whole
+// number of bytes, so we do not need to worry about bit packing here.
+static void vectork_encode(uint8_t *out, const vectork *a, int bits) {
+ for (int i = 0; i < K; i++) {
+ scalar_encode(out + i * bits * DEGREE / 8, &a->v[i], bits);
+ }
+}
+
+// FIPS 204, Algorithm 12 (`SimpleBitUnpack`).
+static void vectork_decode(vectork *out, const uint8_t *in, int bits) {
+ for (int i = 0; i < K; i++) {
+ scalar_decode(&out->v[i], in + i * bits * DEGREE / 8, bits);
+ }
+}
+
+static void vectork_encode_signed(uint8_t *out, const vectork *a, int bits,
+ uint32_t max) {
+ for (int i = 0; i < K; i++) {
+ scalar_encode_signed(out + i * bits * DEGREE / 8, &a->v[i], bits, max);
+ }
+}
+
+static int vectork_decode_signed(vectork *out, const uint8_t *in, int bits,
+ uint32_t max) {
+ for (int i = 0; i < K; i++) {
+ if (!scalar_decode_signed(&out->v[i], in + i * bits * DEGREE / 8, bits,
+ max)) {
+ return 0;
+ }
+ }
+ return 1;
+}
+
+// FIPS 204, Algorithm 11 (`BitPack`).
+//
+// Encodes an entire vector into 32*L*|bits| bytes. Note that since 256 (DEGREE)
+// is divisible by 8, the individual vector entries will always fill a whole
+// number of bytes, so we do not need to worry about bit packing here.
+static void vectorl_encode_signed(uint8_t *out, const vectorl *a, int bits,
+ uint32_t max) {
+ for (int i = 0; i < L; i++) {
+ scalar_encode_signed(out + i * bits * DEGREE / 8, &a->v[i], bits, max);
+ }
+}
+
+static int vectorl_decode_signed(vectorl *out, const uint8_t *in, int bits,
+ uint32_t max) {
+ for (int i = 0; i < L; i++) {
+ if (!scalar_decode_signed(&out->v[i], in + i * bits * DEGREE / 8, bits,
+ max)) {
+ return 0;
+ }
+ }
+ return 1;
+}
+
+// FIPS 204, Algorithm 22 (`w1Encode`).
+//
+// The output must point to an array of 128*K bytes.
+static void w1_encode(uint8_t *out, const vectork *w1) {
+ vectork_encode(out, w1, 4);
+}
+
+// FIPS 204, Algorithm 14 (`HintBitPack`).
+static void hint_bit_pack(uint8_t *out, const vectork *h) {
+ OPENSSL_memset(out, 0, OMEGA + K);
+ int index = 0;
+ for (int i = 0; i < K; i++) {
+ for (int j = 0; j < DEGREE; j++) {
+ if (h->v[i].c[j]) {
+ out[index++] = j;
+ }
+ }
+ out[OMEGA + i] = index;
+ }
+}
+
+// FIPS 204, Algorithm 15 (`HintBitUnpack`).
+static int hint_bit_unpack(vectork *h, const uint8_t *in) {
+ vectork_zero(h);
+ int index = 0;
+ for (int i = 0; i < K; i++) {
+ int limit = in[OMEGA + i];
+ if (limit < index || limit > OMEGA) {
+ return 0;
+ }
+
+ int last = -1;
+ while (index < limit) {
+ int byte = in[index++];
+ if (last >= 0 && byte <= last) {
+ return 0;
+ }
+ last = byte;
+ h->v[i].c[byte] = 1;
+ }
+ }
+ for (; index < OMEGA; index++) {
+ if (in[index] != 0) {
+ return 0;
+ }
+ }
+ return 1;
+}
+
+struct public_key {
+ uint8_t rho[RHO_BYTES];
+ vectork t1;
+ // Pre-cached value(s).
+ uint8_t public_key_hash[TR_BYTES];
+};
+
+struct private_key {
+ uint8_t rho[RHO_BYTES];
+ uint8_t k[K_BYTES];
+ uint8_t public_key_hash[TR_BYTES];
+ vectorl s1;
+ vectork s2;
+ vectork t0;
+};
+
+struct signature {
+ uint8_t c_tilde[2 * LAMBDA_BYTES];
+ vectorl z;
+ vectork h;
+};
+
+// FIPS 204, Algorithm 16 (`pkEncode`).
+static int dilithium_marshal_public_key(CBB *out,
+ const struct public_key *pub) {
+ if (!CBB_add_bytes(out, pub->rho, sizeof(pub->rho))) {
+ return 0;
+ }
+
+ uint8_t *vectork_output;
+ if (!CBB_add_space(out, &vectork_output, 320 * K)) {
+ return 0;
+ }
+ vectork_encode(vectork_output, &pub->t1, 10);
+
+ return 1;
+}
+
+// FIPS 204, Algorithm 17 (`pkDecode`).
+static int dilithium_parse_public_key(struct public_key *pub, CBS *in) {
+ if (!CBS_copy_bytes(in, pub->rho, sizeof(pub->rho))) {
+ return 0;
+ }
+
+ CBS t1_bytes;
+ if (!CBS_get_bytes(in, &t1_bytes, 320 * K)) {
+ return 0;
+ }
+ vectork_decode(&pub->t1, CBS_data(&t1_bytes), 10);
+
+ return 1;
+}
+
+// FIPS 204, Algorithm 18 (`skEncode`).
+static int dilithium_marshal_private_key(CBB *out,
+ const struct private_key *priv) {
+ if (!CBB_add_bytes(out, priv->rho, sizeof(priv->rho)) ||
+ !CBB_add_bytes(out, priv->k, sizeof(priv->k)) ||
+ !CBB_add_bytes(out, priv->public_key_hash,
+ sizeof(priv->public_key_hash))) {
+ return 0;
+ }
+
+ uint8_t *vectorl_output;
+ if (!CBB_add_space(out, &vectorl_output, 128 * L)) {
+ return 0;
+ }
+ vectorl_encode_signed(vectorl_output, &priv->s1, 4, ETA);
+
+ uint8_t *vectork_output;
+ if (!CBB_add_space(out, &vectork_output, 128 * K)) {
+ return 0;
+ }
+ vectork_encode_signed(vectork_output, &priv->s2, 4, ETA);
+
+ if (!CBB_add_space(out, &vectork_output, 416 * K)) {
+ return 0;
+ }
+ vectork_encode_signed(vectork_output, &priv->t0, 13, 1 << 12);
+
+ return 1;
+}
+
+// FIPS 204, Algorithm 19 (`skDecode`).
+static int dilithium_parse_private_key(struct private_key *priv, CBS *in) {
+ CBS s1_bytes;
+ CBS s2_bytes;
+ CBS t0_bytes;
+ if (!CBS_copy_bytes(in, priv->rho, sizeof(priv->rho)) ||
+ !CBS_copy_bytes(in, priv->k, sizeof(priv->k)) ||
+ !CBS_copy_bytes(in, priv->public_key_hash,
+ sizeof(priv->public_key_hash)) ||
+ !CBS_get_bytes(in, &s1_bytes, 128 * L) ||
+ !vectorl_decode_signed(&priv->s1, CBS_data(&s1_bytes), 4, ETA) ||
+ !CBS_get_bytes(in, &s2_bytes, 128 * K) ||
+ !vectork_decode_signed(&priv->s2, CBS_data(&s2_bytes), 4, ETA) ||
+ !CBS_get_bytes(in, &t0_bytes, 416 * K) ||
+ // Note: Decoding 13 bits into (-2^12, 2^12] cannot fail.
+ !vectork_decode_signed(&priv->t0, CBS_data(&t0_bytes), 13, 1 << 12)) {
+ return 0;
+ }
+
+ return 1;
+}
+
+// FIPS 204, Algorithm 20 (`sigEncode`).
+static int dilithium_marshal_signature(CBB *out, const struct signature *sign) {
+ if (!CBB_add_bytes(out, sign->c_tilde, sizeof(sign->c_tilde))) {
+ return 0;
+ }
+
+ uint8_t *vectorl_output;
+ if (!CBB_add_space(out, &vectorl_output, 640 * L)) {
+ return 0;
+ }
+ vectorl_encode_signed(vectorl_output, &sign->z, 20, 1 << 19);
+
+ uint8_t *hint_output;
+ if (!CBB_add_space(out, &hint_output, OMEGA + K)) {
+ return 0;
+ }
+ hint_bit_pack(hint_output, &sign->h);
+
+ return 1;
+}
+
+// FIPS 204, Algorithm 21 (`sigDecode`).
+static int dilithium_parse_signature(struct signature *sign, CBS *in) {
+ CBS z_bytes;
+ CBS hint_bytes;
+ if (!CBS_copy_bytes(in, sign->c_tilde, sizeof(sign->c_tilde)) ||
+ !CBS_get_bytes(in, &z_bytes, 640 * L) ||
+ // Note: Decoding 20 bits into (-2^19, 2^19] cannot fail.
+ !vectorl_decode_signed(&sign->z, CBS_data(&z_bytes), 20, 1 << 19) ||
+ !CBS_get_bytes(in, &hint_bytes, OMEGA + K) ||
+ !hint_bit_unpack(&sign->h, CBS_data(&hint_bytes))) {
+ return 0;
+ };
+
+ return 1;
+}
+
+static struct private_key *private_key_from_external(
+ const struct DILITHIUM_private_key *external) {
+ static_assert(
+ sizeof(struct DILITHIUM_private_key) == sizeof(struct private_key),
+ "Kyber private key size incorrect");
+ static_assert(
+ alignof(struct DILITHIUM_private_key) == alignof(struct private_key),
+ "Kyber private key align incorrect");
+ return (struct private_key *)external;
+}
+
+static struct public_key *public_key_from_external(
+ const struct DILITHIUM_public_key *external) {
+ static_assert(
+ sizeof(struct DILITHIUM_public_key) == sizeof(struct public_key),
+ "Dilithium public key size incorrect");
+ static_assert(
+ alignof(struct DILITHIUM_public_key) == alignof(struct public_key),
+ "Dilithium public key align incorrect");
+ return (struct public_key *)external;
+}
+
+/* API */
+
+// Calls |DILITHIUM_generate_key_external_entropy| with random bytes from
+// |RAND_bytes|. Returns 1 on success and 0 on failure.
+int DILITHIUM_generate_key(
+ uint8_t out_encoded_public_key[DILITHIUM_PUBLIC_KEY_BYTES],
+ struct DILITHIUM_private_key *out_private_key) {
+ uint8_t entropy[DILITHIUM_GENERATE_KEY_ENTROPY];
+ RAND_bytes(entropy, sizeof(entropy));
+ return DILITHIUM_generate_key_external_entropy(out_encoded_public_key,
+ out_private_key, entropy);
+}
+
+// FIPS 204, Algorithm 1 (`ML-DSA.KeyGen`). Returns 1 on success and 0 on
+// failure.
+int DILITHIUM_generate_key_external_entropy(
+ uint8_t out_encoded_public_key[DILITHIUM_PUBLIC_KEY_BYTES],
+ struct DILITHIUM_private_key *out_private_key,
+ const uint8_t entropy[DILITHIUM_GENERATE_KEY_ENTROPY]) {
+ int ret = 0;
+
+ // Intermediate values, allocated on the heap to allow use when there is a
+ // limited amount of stack.
+ struct values_st {
+ struct public_key pub;
+ matrix a_ntt;
+ vectorl s1_ntt;
+ vectork t;
+ };
+ struct values_st *values = OPENSSL_malloc(sizeof(*values));
+ if (values == NULL) {
+ goto err;
+ }
+
+ struct private_key *priv = private_key_from_external(out_private_key);
+
+ uint8_t expanded_seed[RHO_BYTES + SIGMA_BYTES + K_BYTES];
+ BORINGSSL_keccak(expanded_seed, sizeof(expanded_seed), entropy,
+ DILITHIUM_GENERATE_KEY_ENTROPY, boringssl_shake256);
+ const uint8_t *const rho = expanded_seed;
+ const uint8_t *const sigma = expanded_seed + RHO_BYTES;
+ const uint8_t *const k = expanded_seed + RHO_BYTES + SIGMA_BYTES;
+ OPENSSL_memcpy(values->pub.rho, rho, sizeof(values->pub.rho));
+ OPENSSL_memcpy(priv->rho, rho, sizeof(priv->rho));
+ OPENSSL_memcpy(priv->k, k, sizeof(priv->k));
+
+ matrix_expand(&values->a_ntt, rho);
+ vector_expand_short_vartime(&priv->s1, &priv->s2, sigma);
+
+ OPENSSL_memcpy(&values->s1_ntt, &priv->s1, sizeof(values->s1_ntt));
+ vectorl_ntt(&values->s1_ntt);
+
+ matrix_mult(&values->t, &values->a_ntt, &values->s1_ntt);
+ vectork_inverse_ntt(&values->t);
+ vectork_add(&values->t, &values->t, &priv->s2);
+
+ vectork_power2_round(&values->pub.t1, &priv->t0, &values->t);
+
+ CBB cbb;
+ CBB_init_fixed(&cbb, out_encoded_public_key, DILITHIUM_PUBLIC_KEY_BYTES);
+ if (!dilithium_marshal_public_key(&cbb, &values->pub)) {
+ goto err;
+ }
+
+ BORINGSSL_keccak(priv->public_key_hash, sizeof(priv->public_key_hash),
+ out_encoded_public_key, DILITHIUM_PUBLIC_KEY_BYTES,
+ boringssl_shake256);
+
+ ret = 1;
+err:
+ OPENSSL_free(values);
+ return ret;
+}
+
+// FIPS 204, Algorithm 2 (`ML-DSA.Sign`). Returns 1 on success and 0 on failure.
+static int dilithium_sign_with_randomizer(
+ uint8_t out_encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const struct DILITHIUM_private_key *private_key, const uint8_t *msg,
+ size_t msg_len,
+ const uint8_t randomizer[DILITHIUM_SIGNATURE_RANDOMIZER_BYTES]) {
+ int ret = 0;
+
+ const struct private_key *priv = private_key_from_external(private_key);
+
+ uint8_t mu[MU_BYTES];
+ struct BORINGSSL_keccak_st keccak_ctx;
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, priv->public_key_hash,
+ sizeof(priv->public_key_hash));
+ BORINGSSL_keccak_absorb(&keccak_ctx, msg, msg_len);
+ BORINGSSL_keccak_squeeze(&keccak_ctx, mu, MU_BYTES);
+
+ uint8_t rho_prime[RHO_PRIME_BYTES];
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, priv->k, sizeof(priv->k));
+ BORINGSSL_keccak_absorb(&keccak_ctx, randomizer,
+ DILITHIUM_SIGNATURE_RANDOMIZER_BYTES);
+ BORINGSSL_keccak_absorb(&keccak_ctx, mu, MU_BYTES);
+ BORINGSSL_keccak_squeeze(&keccak_ctx, rho_prime, RHO_PRIME_BYTES);
+
+ // Intermediate values, allocated on the heap to allow use when there is a
+ // limited amount of stack.
+ struct values_st {
+ struct signature sign;
+ vectorl s1_ntt;
+ vectork s2_ntt;
+ vectork t0_ntt;
+ matrix a_ntt;
+ vectorl y;
+ vectorl y_ntt;
+ vectork w;
+ vectork w1;
+ vectorl cs1;
+ vectork cs2;
+ vectork r0;
+ vectork ct0;
+ };
+ struct values_st *values = OPENSSL_malloc(sizeof(*values));
+ if (values == NULL) {
+ goto err;
+ }
+ OPENSSL_memcpy(&values->s1_ntt, &priv->s1, sizeof(values->s1_ntt));
+ vectorl_ntt(&values->s1_ntt);
+
+ OPENSSL_memcpy(&values->s2_ntt, &priv->s2, sizeof(values->s2_ntt));
+ vectork_ntt(&values->s2_ntt);
+
+ OPENSSL_memcpy(&values->t0_ntt, &priv->t0, sizeof(values->t0_ntt));
+ vectork_ntt(&values->t0_ntt);
+
+ matrix_expand(&values->a_ntt, priv->rho);
+
+ for (size_t kappa = 0;; kappa += L) {
+ //TODO(bbe): y only lives long enough to compute y_ntt.
+ //consider using another vectorl to save memory.
+ vectorl_expand_mask(&values->y, rho_prime, kappa);
+
+ OPENSSL_memcpy(&values->y_ntt, &values->y, sizeof(values->y_ntt));
+ vectorl_ntt(&values->y_ntt);
+
+ //TODO(bbe): w only lives long enough to compute y_ntt.
+ //consider using another vectork to save memory.
+ matrix_mult(&values->w, &values->a_ntt, &values->y_ntt);
+ vectork_inverse_ntt(&values->w);
+
+ vectork_high_bits(&values->w1, &values->w);
+ uint8_t w1_encoded[128 * K];
+ w1_encode(w1_encoded, &values->w1);
+
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, mu, MU_BYTES);
+ BORINGSSL_keccak_absorb(&keccak_ctx, w1_encoded, 128 * K);
+ BORINGSSL_keccak_squeeze(&keccak_ctx, values->sign.c_tilde,
+ 2 * LAMBDA_BYTES);
+
+ scalar c_ntt;
+ scalar_sample_in_ball_vartime(&c_ntt, values->sign.c_tilde, 32);
+ scalar_ntt(&c_ntt);
+
+ vectorl_mult_scalar(&values->cs1, &values->s1_ntt, &c_ntt);
+ vectorl_inverse_ntt(&values->cs1);
+ vectork_mult_scalar(&values->cs2, &values->s2_ntt, &c_ntt);
+ vectork_inverse_ntt(&values->cs2);
+
+ vectorl_add(&values->sign.z, &values->y, &values->cs1);
+
+ vectork_sub(&values->r0, &values->w, &values->cs2);
+ vectork_low_bits(&values->r0, &values->r0);
+
+ uint32_t z_max = vectorl_max(&values->sign.z);
+ uint32_t r0_max = vectork_max_signed(&values->r0);
+ if (z_max >= kGamma1 - BETA || r0_max >= kGamma2 - BETA) {
+ continue;
+ }
+
+ vectork_mult_scalar(&values->ct0, &values->t0_ntt, &c_ntt);
+ vectork_inverse_ntt(&values->ct0);
+ vectork_make_hint(&values->sign.h, &values->ct0, &values->cs2, &values->w);
+
+ uint32_t ct0_max = vectork_max(&values->ct0);
+ size_t h_ones = vectork_count_ones(&values->sign.h);
+ if (ct0_max >= kGamma2 || h_ones > OMEGA) {
+ continue;
+ }
+
+ CBB cbb;
+ CBB_init_fixed(&cbb, out_encoded_signature, DILITHIUM_SIGNATURE_BYTES);
+ if (!dilithium_marshal_signature(&cbb, &values->sign)) {
+ goto err;
+ }
+
+ ret = 1;
+ break;
+ }
+
+err:
+ OPENSSL_free(values);
+ return ret;
+}
+
+// Dilithium signature in deterministic mode. Returns 1 on success and 0 on
+// failure.
+int DILITHIUM_sign_deterministic(
+ uint8_t out_encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const struct DILITHIUM_private_key *private_key, const uint8_t *msg,
+ size_t msg_len) {
+ uint8_t randomizer[DILITHIUM_SIGNATURE_RANDOMIZER_BYTES];
+ OPENSSL_memset(randomizer, 0, sizeof(randomizer));
+ return dilithium_sign_with_randomizer(out_encoded_signature, private_key, msg,
+ msg_len, randomizer);
+}
+
+// Dilithium signature in randomized mode, filling the random bytes with
+// |RAND_bytes|. Returns 1 on success and 0 on failure.
+int DILITHIUM_sign(uint8_t out_encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const struct DILITHIUM_private_key *private_key,
+ const uint8_t *msg, size_t msg_len) {
+ uint8_t randomizer[DILITHIUM_SIGNATURE_RANDOMIZER_BYTES];
+ RAND_bytes(randomizer, sizeof(randomizer));
+ return dilithium_sign_with_randomizer(out_encoded_signature, private_key, msg,
+ msg_len, randomizer);
+}
+
+// FIPS 204, Algorithm 3 (`ML-DSA.Verify`).
+int DILITHIUM_verify(const struct DILITHIUM_public_key *public_key,
+ const uint8_t encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const uint8_t *msg, size_t msg_len) {
+ int ret = 0;
+
+ // Intermediate values, allocated on the heap to allow use when there is a
+ // limited amount of stack.
+ struct values_st {
+ struct signature sign;
+ matrix a_ntt;
+ vectorl z_ntt;
+ vectork az_ntt;
+ vectork t1_ntt;
+ vectork ct1_ntt;
+ vectork w_approx;
+ vectork w1;
+ };
+ struct values_st *values = OPENSSL_malloc(sizeof(*values));
+ if (values == NULL) {
+ goto err;
+ }
+
+ const struct public_key *pub = public_key_from_external(public_key);
+
+ CBS cbs;
+ CBS_init(&cbs, encoded_signature, DILITHIUM_SIGNATURE_BYTES);
+ if (!dilithium_parse_signature(&values->sign, &cbs)) {
+ goto err;
+ }
+
+ matrix_expand(&values->a_ntt, pub->rho);
+
+ uint8_t mu[MU_BYTES];
+ struct BORINGSSL_keccak_st keccak_ctx;
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, pub->public_key_hash,
+ sizeof(pub->public_key_hash));
+ BORINGSSL_keccak_absorb(&keccak_ctx, msg, msg_len);
+ BORINGSSL_keccak_squeeze(&keccak_ctx, mu, MU_BYTES);
+
+ scalar c_ntt;
+ scalar_sample_in_ball_vartime(&c_ntt, values->sign.c_tilde, 32);
+ scalar_ntt(&c_ntt);
+
+ OPENSSL_memcpy(&values->z_ntt, &values->sign.z, sizeof(values->z_ntt));
+ vectorl_ntt(&values->z_ntt);
+
+ matrix_mult(&values->az_ntt, &values->a_ntt, &values->z_ntt);
+
+ vectork_scale_power2_round(&values->t1_ntt, &pub->t1);
+ vectork_ntt(&values->t1_ntt);
+
+ vectork_mult_scalar(&values->ct1_ntt, &values->t1_ntt, &c_ntt);
+
+ vectork_sub(&values->w_approx, &values->az_ntt, &values->ct1_ntt);
+ vectork_inverse_ntt(&values->w_approx);
+
+ vectork_use_hint_vartime(&values->w1, &values->sign.h, &values->w_approx);
+ uint8_t w1_encoded[128 * K];
+ w1_encode(w1_encoded, &values->w1);
+
+ uint8_t c_tilde[2 * LAMBDA_BYTES];
+ BORINGSSL_keccak_init(&keccak_ctx, boringssl_shake256);
+ BORINGSSL_keccak_absorb(&keccak_ctx, mu, MU_BYTES);
+ BORINGSSL_keccak_absorb(&keccak_ctx, w1_encoded, 128 * K);
+ BORINGSSL_keccak_squeeze(&keccak_ctx, c_tilde, 2 * LAMBDA_BYTES);
+
+ uint32_t z_max = vectorl_max(&values->sign.z);
+ size_t h_ones = vectork_count_ones(&values->sign.h);
+ if (z_max < kGamma1 - BETA && h_ones <= OMEGA &&
+ OPENSSL_memcmp(c_tilde, values->sign.c_tilde, 2 * LAMBDA_BYTES) == 0) {
+ ret = 1;
+ }
+
+err:
+ OPENSSL_free(values);
+ return ret;
+}
+
+/* Serialization of keys. */
+
+int DILITHIUM_marshal_public_key(
+ CBB *out, const struct DILITHIUM_public_key *public_key) {
+ return dilithium_marshal_public_key(out,
+ public_key_from_external(public_key));
+}
+
+int DILITHIUM_parse_public_key(struct DILITHIUM_public_key *public_key,
+ CBS *in) {
+ struct public_key *pub = public_key_from_external(public_key);
+ CBS orig_in = *in;
+ if (!dilithium_parse_public_key(pub, in) || CBS_len(in) != 0) {
+ return 0;
+ }
+
+ // Compute pre-cached values.
+ BORINGSSL_keccak(pub->public_key_hash, sizeof(pub->public_key_hash),
+ CBS_data(&orig_in), CBS_len(&orig_in), boringssl_shake256);
+ return 1;
+}
+
+int DILITHIUM_marshal_private_key(
+ CBB *out, const struct DILITHIUM_private_key *private_key) {
+ return dilithium_marshal_private_key(out,
+ private_key_from_external(private_key));
+}
+
+int DILITHIUM_parse_private_key(struct DILITHIUM_private_key *private_key,
+ CBS *in) {
+ struct private_key *priv = private_key_from_external(private_key);
+ return dilithium_parse_private_key(priv, in) && CBS_len(in) == 0;
+}
diff --git a/src/crypto/dilithium/dilithium_test.cc b/src/crypto/dilithium/dilithium_test.cc
new file mode 100644
index 0000000..13631d1
--- /dev/null
+++ b/src/crypto/dilithium/dilithium_test.cc
@@ -0,0 +1,1601 @@
+/* Copyright (c) 2023, Google LLC
+ *
+ * Permission to use, copy, modify, and/or distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+ * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
+ * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+ * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
+
+#include <string.h>
+
+#include <gtest/gtest.h>
+
+#include <openssl/bytestring.h>
+#include <openssl/ctrdrbg.h>
+#define OPENSSL_UNSTABLE_EXPERIMENTAL_DILITHIUM
+#include <openssl/experimental/dilithium.h>
+#include <cstddef>
+
+#include "../test/file_test.h"
+#include "../test/test_util.h"
+#include "./internal.h"
+
+
+TEST(DilithiumTest, BitFlips) {
+ auto encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ EXPECT_TRUE(DILITHIUM_generate_key(encoded_public_key.get(), priv.get()));
+
+ auto encoded_signature =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+ const char *message = "Hello world";
+ EXPECT_TRUE(DILITHIUM_sign(encoded_signature.get(), priv.get(),
+ (const uint8_t *)message, strlen(message)));
+
+ auto pub = std::make_unique<DILITHIUM_public_key>();
+ CBS cbs;
+ CBS_init(&cbs, encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_parse_public_key(pub.get(), &cbs));
+
+ EXPECT_EQ(DILITHIUM_verify(pub.get(), encoded_signature.get(),
+ (const uint8_t *)message, strlen(message)),
+ 1);
+
+ for (size_t i = 0; i < DILITHIUM_SIGNATURE_BYTES; i++) {
+ for (int j = 0; j < 8; j++) {
+ uint8_t *to_mangle = encoded_signature.get();
+ to_mangle[i] ^= 1 << j;
+ EXPECT_EQ(DILITHIUM_verify(pub.get(), to_mangle, (const uint8_t *)message,
+ strlen(message)),
+ 0)
+ << "Bit flip in signature at byte " << i << " bit " << j
+ << " didn't cause a verification failure";
+ to_mangle[i] ^= 1 << j;
+ }
+ }
+}
+
+TEST(DilithiumTest, SignatureIsRandomized) {
+ auto encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ EXPECT_TRUE(DILITHIUM_generate_key(encoded_public_key.get(), priv.get()));
+
+ auto pub = std::make_unique<DILITHIUM_public_key>();
+ CBS cbs;
+ CBS_init(&cbs, encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_parse_public_key(pub.get(), &cbs));
+
+ auto encoded_signature1 =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+ auto encoded_signature2 =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+ const char *message = "Hello world";
+ EXPECT_TRUE(DILITHIUM_sign(encoded_signature1.get(), priv.get(),
+ (const uint8_t *)message, strlen(message)));
+ EXPECT_TRUE(DILITHIUM_sign(encoded_signature2.get(), priv.get(),
+ (const uint8_t *)message, strlen(message)));
+
+ EXPECT_NE(Bytes(encoded_signature1.get(), DILITHIUM_SIGNATURE_BYTES),
+ Bytes(encoded_signature2.get(), DILITHIUM_SIGNATURE_BYTES));
+
+ // Even though the signatures are different, they both verify.
+ EXPECT_EQ(DILITHIUM_verify(pub.get(), encoded_signature1.get(),
+ (const uint8_t *)message, strlen(message)),
+ 1);
+ EXPECT_EQ(DILITHIUM_verify(pub.get(), encoded_signature2.get(),
+ (const uint8_t *)message, strlen(message)),
+ 1);
+}
+
+TEST(DilithiumTest, InvalidPublicKeyEncodingLength) {
+ auto encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ EXPECT_TRUE(DILITHIUM_generate_key(encoded_public_key.get(), priv.get()));
+
+ auto malformed_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES + 1);
+ OPENSSL_memcpy(malformed_public_key.get(), encoded_public_key.get(),
+ DILITHIUM_PUBLIC_KEY_BYTES);
+ malformed_public_key[DILITHIUM_PUBLIC_KEY_BYTES] = 0;
+
+ CBS cbs;
+ auto parsed_pub = std::make_unique<DILITHIUM_public_key>();
+
+ // Public key is 1 byte too short.
+ CBS_init(&cbs, malformed_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES - 1);
+ EXPECT_FALSE(DILITHIUM_parse_public_key(parsed_pub.get(), &cbs));
+
+ // Public key has the correct length.
+ CBS_init(&cbs, malformed_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES);
+ EXPECT_TRUE(DILITHIUM_parse_public_key(parsed_pub.get(), &cbs));
+
+ // Public key is 1 byte too long.
+ CBS_init(&cbs, malformed_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES + 1);
+ EXPECT_FALSE(DILITHIUM_parse_public_key(parsed_pub.get(), &cbs));
+}
+
+TEST(DilithiumTest, InvalidPrivateKeyEncodingLength) {
+ auto encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ EXPECT_TRUE(DILITHIUM_generate_key(encoded_public_key.get(), priv.get()));
+
+ CBB cbb;
+ std::vector<uint8_t> malformed_private_key(DILITHIUM_PRIVATE_KEY_BYTES + 1,
+ 0);
+ CBB_init_fixed(&cbb, malformed_private_key.data(),
+ DILITHIUM_PRIVATE_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_marshal_private_key(&cbb, priv.get()));
+
+ CBS cbs;
+ auto parsed_priv = std::make_unique<DILITHIUM_private_key>();
+
+ // Private key is 1 byte too short.
+ CBS_init(&cbs, malformed_private_key.data(), DILITHIUM_PRIVATE_KEY_BYTES - 1);
+ EXPECT_FALSE(DILITHIUM_parse_private_key(parsed_priv.get(), &cbs));
+
+ // Private key has the correct length.
+ CBS_init(&cbs, malformed_private_key.data(), DILITHIUM_PRIVATE_KEY_BYTES);
+ EXPECT_TRUE(DILITHIUM_parse_private_key(parsed_priv.get(), &cbs));
+
+ // Private key is 1 byte too long.
+ CBS_init(&cbs, malformed_private_key.data(), DILITHIUM_PRIVATE_KEY_BYTES + 1);
+ EXPECT_FALSE(DILITHIUM_parse_private_key(parsed_priv.get(), &cbs));
+}
+
+// TODO: Add more parsing tests:
+// - signed values out of range (private key's s1/s2 beyond ETA)
+// - signature hints not in the canonical order (signature malleability)
+
+static void DilithiumFileTest(FileTest *t) {
+ std::vector<uint8_t> seed, message, public_key_expected, private_key_expected,
+ signed_message_expected;
+ t->IgnoreAttribute("count");
+ ASSERT_TRUE(t->GetBytes(&seed, "seed"));
+ t->IgnoreAttribute("mlen");
+ ASSERT_TRUE(t->GetBytes(&message, "msg"));
+ ASSERT_TRUE(t->GetBytes(&public_key_expected, "pk"));
+ ASSERT_TRUE(t->GetBytes(&private_key_expected, "sk"));
+ t->IgnoreAttribute("smlen");
+ ASSERT_TRUE(t->GetBytes(&signed_message_expected, "sm"));
+
+ uint8_t gen_key_entropy[DILITHIUM_GENERATE_KEY_ENTROPY];
+ // The test vectors provide a CTR-DRBG seed which is used to generate the
+ // input entropy.
+ ASSERT_EQ(seed.size(), size_t{CTR_DRBG_ENTROPY_LEN});
+ {
+ bssl::UniquePtr<CTR_DRBG_STATE> state(
+ CTR_DRBG_new(seed.data(), nullptr, 0));
+ ASSERT_TRUE(state);
+ ASSERT_TRUE(CTR_DRBG_generate(state.get(), gen_key_entropy,
+ DILITHIUM_GENERATE_KEY_ENTROPY, nullptr, 0));
+ }
+
+ // Reproduce key generation.
+ auto parsed_pub = std::make_unique<DILITHIUM_public_key>();
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ std::unique_ptr<uint8_t[]> encoded_private_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PRIVATE_KEY_BYTES);
+ std::unique_ptr<uint8_t[]> encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+
+ EXPECT_TRUE(DILITHIUM_generate_key_external_entropy(
+ encoded_public_key.get(), priv.get(), gen_key_entropy));
+
+ CBB cbb;
+ CBB_init_fixed(&cbb, encoded_private_key.get(), DILITHIUM_PRIVATE_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_marshal_private_key(&cbb, priv.get()));
+
+ EXPECT_EQ(Bytes(encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES),
+ Bytes(public_key_expected));
+ EXPECT_EQ(Bytes(encoded_private_key.get(), DILITHIUM_PRIVATE_KEY_BYTES),
+ Bytes(private_key_expected));
+
+ // Reproduce signature.
+ std::unique_ptr<uint8_t[]> encoded_signature =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+ EXPECT_TRUE(DILITHIUM_sign_deterministic(encoded_signature.get(), priv.get(),
+ message.data(), message.size()));
+
+ ASSERT_GE(signed_message_expected.size(), (size_t)DILITHIUM_SIGNATURE_BYTES);
+ EXPECT_EQ(Bytes(encoded_signature.get(), DILITHIUM_SIGNATURE_BYTES),
+ Bytes(signed_message_expected.data(), DILITHIUM_SIGNATURE_BYTES));
+ EXPECT_EQ(Bytes(message),
+ Bytes(&signed_message_expected[DILITHIUM_SIGNATURE_BYTES],
+ signed_message_expected.size() - DILITHIUM_SIGNATURE_BYTES));
+
+ // Check that verification matches.
+ CBS cbs;
+ CBS_init(&cbs, encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_parse_public_key(parsed_pub.get(), &cbs));
+ EXPECT_EQ(DILITHIUM_verify(parsed_pub.get(), encoded_signature.get(),
+ message.data(), message.size()),
+ 1);
+
+ // Test that parsing the encoded private key yields a functional object.
+ auto parsed_priv = std::make_unique<DILITHIUM_private_key>();
+ std::unique_ptr<uint8_t[]> encoded_signature2 =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+
+ CBS_init(&cbs, encoded_private_key.get(), DILITHIUM_PRIVATE_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_parse_private_key(parsed_priv.get(), &cbs));
+
+ EXPECT_TRUE(DILITHIUM_sign_deterministic(encoded_signature2.get(),
+ parsed_priv.get(), message.data(),
+ message.size()));
+ EXPECT_EQ(Bytes(encoded_signature2.get(), DILITHIUM_SIGNATURE_BYTES),
+ Bytes(encoded_signature.get(), DILITHIUM_SIGNATURE_BYTES));
+
+ // Test that parsing + encoding is idempotent.
+ std::unique_ptr<uint8_t[]> encoded_private_key2 =
+ std::make_unique<uint8_t[]>(DILITHIUM_PRIVATE_KEY_BYTES);
+ std::unique_ptr<uint8_t[]> encoded_public_key2 =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+
+ CBB_init_fixed(&cbb, encoded_private_key2.get(), DILITHIUM_PRIVATE_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_marshal_private_key(&cbb, parsed_priv.get()));
+ CBB_init_fixed(&cbb, encoded_public_key2.get(), DILITHIUM_PUBLIC_KEY_BYTES);
+ ASSERT_TRUE(DILITHIUM_marshal_public_key(&cbb, parsed_pub.get()));
+
+ EXPECT_EQ(Bytes(encoded_public_key2.get(), DILITHIUM_PUBLIC_KEY_BYTES),
+ Bytes(encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES));
+ EXPECT_EQ(Bytes(encoded_private_key2.get(), DILITHIUM_PRIVATE_KEY_BYTES),
+ Bytes(encoded_private_key.get(), DILITHIUM_PRIVATE_KEY_BYTES));
+}
+
+TEST(DilithiumTest, TestVectors) {
+ FileTestGTest("crypto/dilithium/dilithium_tests.txt", DilithiumFileTest);
+}
+
+TEST(DilithiumTest, KeyGenerationHardCodedNIST) {
+ // Published on
+ // https://csrc.nist.gov/Projects/post-quantum-cryptography/post-quantum-cryptography-standardization/example-files
+ uint8_t entropy[DILITHIUM_GENERATE_KEY_ENTROPY] = {
+ 0x72, 0xC3, 0xC5, 0xE0, 0xCC, 0x9F, 0x33, 0x2F, 0x49, 0xD0, 0xFC,
+ 0x0F, 0xD6, 0x39, 0x9D, 0xA7, 0x56, 0x45, 0xA3, 0xE3, 0x3D, 0xBF,
+ 0x56, 0xF1, 0xE9, 0x68, 0x97, 0x66, 0x2D, 0x0A, 0x9B, 0x37};
+ auto encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ EXPECT_TRUE(DILITHIUM_generate_key_external_entropy(encoded_public_key.get(),
+ priv.get(), entropy));
+
+ static const uint8_t expected_public_key[DILITHIUM_PUBLIC_KEY_BYTES] = {
+ 0x88, 0xC9, 0x3D, 0xEB, 0x90, 0x1A, 0x24, 0xA9, 0x45, 0xFA, 0x94, 0xAE,
+ 0x54, 0xDB, 0xAF, 0x46, 0xD8, 0x1C, 0xAC, 0xA9, 0x43, 0xFB, 0xE3, 0x20,
+ 0x42, 0x1C, 0x61, 0xB3, 0x32, 0x04, 0x84, 0x9F, 0x65, 0xE8, 0x33, 0xB5,
+ 0xEB, 0x94, 0xC6, 0x0E, 0x74, 0xA6, 0x0D, 0xD2, 0xC8, 0xEA, 0x1D, 0xE7,
+ 0xFE, 0x99, 0x60, 0x93, 0x55, 0x87, 0x5F, 0xFC, 0x40, 0x0E, 0xCD, 0x83,
+ 0xF1, 0x2C, 0xDD, 0xD1, 0xB0, 0x15, 0xAC, 0x75, 0x0D, 0xF7, 0x75, 0x9D,
+ 0x3D, 0x0F, 0xEC, 0xE7, 0x95, 0x42, 0xF1, 0x2B, 0xE3, 0x0A, 0x47, 0x39,
+ 0x21, 0x49, 0x9A, 0x92, 0x7C, 0xDE, 0xED, 0xF9, 0xC6, 0x2F, 0x0A, 0x75,
+ 0x58, 0x35, 0xB9, 0xFF, 0x46, 0x40, 0x40, 0xEF, 0x40, 0x97, 0x84, 0xBA,
+ 0x7D, 0x50, 0x91, 0xBC, 0x92, 0xC7, 0xA0, 0xC6, 0x23, 0xDE, 0xC0, 0x17,
+ 0xE9, 0x5C, 0x3A, 0xD4, 0x3C, 0x86, 0x5B, 0x59, 0x5D, 0x04, 0x09, 0x16,
+ 0x29, 0xA5, 0x61, 0x14, 0xA3, 0x19, 0x7B, 0x0A, 0x21, 0x17, 0xE9, 0xEC,
+ 0xC8, 0xF3, 0xE4, 0x8E, 0x1E, 0x9C, 0x77, 0x2B, 0xA6, 0x1E, 0x5A, 0xE3,
+ 0x13, 0x81, 0x89, 0xDF, 0x4A, 0x9E, 0x14, 0x92, 0x91, 0xA6, 0x69, 0x4A,
+ 0xBB, 0x10, 0x05, 0xCF, 0xA8, 0xED, 0x76, 0x6D, 0xCD, 0x8C, 0x8C, 0xF7,
+ 0x2A, 0xE9, 0xC4, 0x55, 0x03, 0xBB, 0x71, 0x65, 0xB8, 0x41, 0x40, 0xB0,
+ 0xCB, 0x5C, 0xBD, 0x33, 0xFF, 0xC4, 0x3E, 0x63, 0x84, 0xCD, 0x90, 0x59,
+ 0x95, 0xB5, 0xA7, 0x87, 0xFE, 0x48, 0x4B, 0xFE, 0x17, 0xD2, 0xBF, 0x30,
+ 0x25, 0x0F, 0x78, 0xBE, 0x5C, 0xEA, 0x26, 0xE2, 0x01, 0xFF, 0x1F, 0x20,
+ 0x57, 0x4B, 0xB6, 0x77, 0xF4, 0xD2, 0x08, 0xE7, 0xC5, 0xB9, 0x6C, 0xAB,
+ 0xD6, 0x41, 0x6E, 0xEC, 0x1E, 0x21, 0xE0, 0x81, 0x6F, 0x35, 0x2C, 0x84,
+ 0x8E, 0xEA, 0xA4, 0x7C, 0xDD, 0x8E, 0x02, 0xB4, 0x71, 0x58, 0xBC, 0xB4,
+ 0x44, 0x51, 0xD3, 0x60, 0xAC, 0xBD, 0x9D, 0xCF, 0x52, 0x3E, 0xB9, 0x69,
+ 0x4F, 0xD5, 0xE1, 0x55, 0x7D, 0xA8, 0xF2, 0xBE, 0xED, 0x0A, 0x0A, 0xEE,
+ 0x52, 0xE2, 0x3A, 0xEF, 0x1B, 0xEB, 0x44, 0x9D, 0x91, 0x32, 0x76, 0xE8,
+ 0x8A, 0xF1, 0x88, 0x15, 0x1F, 0x68, 0x76, 0xE4, 0xA5, 0xF5, 0x70, 0xA2,
+ 0x40, 0xA6, 0x95, 0xB0, 0x6E, 0x4D, 0x60, 0x13, 0x2D, 0xA2, 0xB6, 0x2F,
+ 0x4C, 0xAB, 0x5C, 0x88, 0x1F, 0x72, 0x77, 0xAC, 0xD1, 0xDA, 0x48, 0x68,
+ 0x73, 0x68, 0xCB, 0x8E, 0xD4, 0x9F, 0xAE, 0x2A, 0x4B, 0x2E, 0x5E, 0xF3,
+ 0xDE, 0x02, 0x60, 0xA7, 0x31, 0xD6, 0x59, 0xA3, 0xF4, 0x2A, 0x19, 0xF4,
+ 0x66, 0xC9, 0xF0, 0xD4, 0x3A, 0x10, 0x2B, 0x12, 0x9C, 0xDA, 0xE4, 0xA6,
+ 0xBF, 0x08, 0x41, 0x96, 0xD6, 0xFE, 0xA7, 0xEE, 0xB3, 0x83, 0x36, 0xEF,
+ 0x1F, 0x25, 0x65, 0x02, 0xEE, 0xC8, 0x0A, 0x49, 0x2F, 0x0A, 0x4F, 0x8A,
+ 0x18, 0x23, 0x45, 0xCC, 0x78, 0x97, 0x8C, 0x06, 0x1C, 0x56, 0x3D, 0x03,
+ 0xE0, 0x7A, 0xC6, 0xFC, 0x2A, 0x1C, 0xF5, 0xCB, 0x8D, 0x25, 0xC0, 0x48,
+ 0x87, 0xE5, 0xD1, 0x13, 0x91, 0xE0, 0xB3, 0xCD, 0x1D, 0xB1, 0x05, 0xC7,
+ 0x34, 0x5C, 0xB3, 0xC8, 0x26, 0xFF, 0x05, 0x8C, 0x30, 0xE0, 0x22, 0x8C,
+ 0x3A, 0x85, 0x7B, 0x7C, 0xE2, 0xF0, 0x64, 0xA5, 0x08, 0xAE, 0x80, 0xE3,
+ 0x3C, 0xE2, 0xCA, 0x82, 0xFE, 0x36, 0x24, 0x6D, 0x61, 0x57, 0x8C, 0x52,
+ 0xD6, 0x9A, 0x8F, 0x8B, 0x84, 0x4F, 0x99, 0x7D, 0x8B, 0x4A, 0x33, 0x41,
+ 0xC9, 0x16, 0x2F, 0xF5, 0x32, 0x02, 0x28, 0xDD, 0x59, 0xC0, 0x91, 0x1F,
+ 0xE4, 0x79, 0xE7, 0x2F, 0xF6, 0xAB, 0x43, 0xF4, 0xA7, 0xB9, 0xF8, 0x05,
+ 0xA8, 0x6F, 0x98, 0x45, 0x12, 0xF9, 0x73, 0xD0, 0x91, 0x37, 0x0F, 0x68,
+ 0x1F, 0x49, 0x82, 0x72, 0x96, 0x96, 0x43, 0x41, 0xAC, 0xAE, 0xD3, 0xE3,
+ 0x11, 0xA3, 0x2B, 0xEC, 0x51, 0x74, 0xA7, 0x76, 0x89, 0xA4, 0x92, 0x1D,
+ 0x02, 0x9F, 0x21, 0xF6, 0xC4, 0x0E, 0xA5, 0x5F, 0x1E, 0x73, 0xC1, 0xAF,
+ 0xF2, 0x14, 0x3A, 0xCD, 0x3E, 0x50, 0x37, 0xFC, 0xD5, 0xB3, 0x11, 0xCD,
+ 0x82, 0x5F, 0x33, 0x26, 0x71, 0x0C, 0x32, 0x63, 0xA0, 0xCF, 0x60, 0x16,
+ 0xD9, 0xEA, 0xE3, 0xE5, 0x0F, 0xE2, 0x57, 0x5E, 0x0A, 0xAB, 0xED, 0xFC,
+ 0xB3, 0x49, 0x5B, 0x9E, 0x77, 0x76, 0x4E, 0x97, 0xA2, 0x63, 0xD0, 0x94,
+ 0x80, 0x6F, 0xA1, 0x24, 0xA8, 0xC1, 0x53, 0xE5, 0x97, 0x5D, 0x35, 0xFA,
+ 0x42, 0x59, 0x76, 0x83, 0xC9, 0x5D, 0x83, 0x80, 0x67, 0x02, 0x8E, 0xBD,
+ 0xA9, 0x76, 0x58, 0xE6, 0x44, 0x78, 0x58, 0x0C, 0xEC, 0xAA, 0x77, 0x2E,
+ 0xC6, 0xCA, 0x31, 0x9F, 0x11, 0x80, 0x3A, 0x64, 0x8D, 0x6A, 0xF0, 0xF9,
+ 0x48, 0x4B, 0x15, 0x82, 0xDE, 0x0C, 0x72, 0xAF, 0x6C, 0x49, 0x12, 0xEA,
+ 0x79, 0x15, 0xFF, 0xEC, 0x90, 0x0A, 0x95, 0xDE, 0x23, 0x5D, 0xEF, 0xFC,
+ 0x4F, 0x75, 0x4B, 0xED, 0x72, 0x4E, 0x36, 0x12, 0xF0, 0x69, 0x6A, 0x1A,
+ 0xE1, 0xFF, 0x05, 0xE8, 0xBE, 0x25, 0x90, 0x02, 0x9C, 0xC0, 0xD3, 0x4E,
+ 0xDD, 0x83, 0x98, 0x25, 0x0B, 0xC0, 0xD3, 0x91, 0xDE, 0xE8, 0x71, 0xA5,
+ 0x4F, 0x15, 0x68, 0x5D, 0x9C, 0xD6, 0x7F, 0x85, 0xEB, 0x1B, 0xB5, 0x0F,
+ 0x39, 0xA8, 0xA1, 0x94, 0x15, 0xF8, 0x63, 0x52, 0x74, 0x30, 0xF4, 0xEF,
+ 0xC2, 0x97, 0xBC, 0x08, 0xA0, 0x3D, 0xB9, 0xDF, 0x86, 0xD2, 0x4C, 0x6D,
+ 0x0F, 0x63, 0xD0, 0x39, 0x9D, 0x2E, 0x86, 0x42, 0x63, 0x31, 0x57, 0x4D,
+ 0x1C, 0x67, 0x98, 0xFB, 0xAF, 0x46, 0x33, 0xCF, 0xBE, 0x10, 0xB1, 0x78,
+ 0x90, 0x33, 0x09, 0x65, 0x90, 0x6E, 0x5F, 0x8B, 0x01, 0xDB, 0x12, 0x5C,
+ 0x0F, 0xEB, 0xAE, 0x1F, 0x3A, 0x49, 0x8F, 0x45, 0xBF, 0x24, 0x32, 0x67,
+ 0xD9, 0xBA, 0xD0, 0x96, 0xAE, 0x0F, 0x9C, 0x15, 0x9A, 0x2B, 0x4D, 0x11,
+ 0xBF, 0x6A, 0xDB, 0x35, 0xAA, 0x7C, 0xCC, 0x3A, 0x17, 0xE7, 0xCE, 0x14,
+ 0xB5, 0x64, 0x82, 0x81, 0xF8, 0x56, 0xDC, 0x7D, 0x29, 0xBE, 0x92, 0xF5,
+ 0x60, 0xC1, 0x05, 0xDF, 0xC2, 0x68, 0x4D, 0x2D, 0x5D, 0x16, 0x25, 0x7E,
+ 0x22, 0xDB, 0xA9, 0x9C, 0x93, 0x00, 0x2B, 0xE2, 0x4F, 0xC1, 0x45, 0x44,
+ 0x0E, 0xF8, 0xF7, 0x7B, 0x2A, 0xDA, 0xE7, 0xEF, 0xD6, 0x76, 0x62, 0x00,
+ 0xBE, 0xD5, 0xAF, 0x94, 0xFD, 0x9F, 0x23, 0xAD, 0xEB, 0x7E, 0xF3, 0xF3,
+ 0xE7, 0x86, 0xE5, 0xD5, 0xFB, 0xC8, 0x3F, 0x09, 0x12, 0x0B, 0xD1, 0x59,
+ 0x35, 0xDA, 0xC6, 0x88, 0x47, 0xF5, 0x07, 0xE4, 0x56, 0x10, 0x69, 0x91,
+ 0x5E, 0x02, 0xA6, 0x53, 0x96, 0xAC, 0xAB, 0xCB, 0xDB, 0xA9, 0x48, 0x12,
+ 0x27, 0xC0, 0x26, 0x1C, 0x7F, 0xA8, 0x03, 0x92, 0xEE, 0xCE, 0x16, 0x2F,
+ 0xAF, 0x98, 0xE7, 0xCC, 0x53, 0x56, 0xFD, 0x0A, 0xCB, 0x3F, 0x5F, 0x9B,
+ 0x7B, 0x60, 0xEA, 0x43, 0x66, 0x4D, 0x05, 0x3C, 0xA4, 0x18, 0x65, 0xD0,
+ 0x68, 0x85, 0x4A, 0xEE, 0xF2, 0xAD, 0x80, 0xA5, 0x62, 0x6D, 0xF6, 0x6A,
+ 0xC0, 0x03, 0x2B, 0x22, 0x51, 0x97, 0xD5, 0x2C, 0x7A, 0x55, 0xF6, 0xDD,
+ 0x56, 0xD3, 0x75, 0xA4, 0x4D, 0xC2, 0x34, 0xE3, 0x55, 0xE6, 0xB7, 0xF1,
+ 0x00, 0xCD, 0x5D, 0xF2, 0xE3, 0x07, 0xC2, 0x0C, 0x8E, 0xF4, 0x4C, 0x77,
+ 0x97, 0x6A, 0xBF, 0xC4, 0x54, 0x2A, 0x0E, 0xBF, 0xBD, 0xB7, 0x9A, 0xFF,
+ 0x5E, 0x79, 0xB4, 0x9A, 0x3F, 0x08, 0xEE, 0x63, 0xC0, 0xF7, 0x8D, 0x12,
+ 0x4B, 0x62, 0x1B, 0x7B, 0xF4, 0xBD, 0x35, 0x50, 0xAD, 0x63, 0x24, 0x6F,
+ 0xAF, 0x74, 0x8C, 0x46, 0xE9, 0x40, 0x91, 0xE4, 0xCC, 0x1A, 0x98, 0x1B,
+ 0x41, 0x46, 0x4B, 0xD2, 0x7C, 0xF6, 0xED, 0xA5, 0xDE, 0xD5, 0xE9, 0x2C,
+ 0x0A, 0x83, 0x8E, 0x59, 0xE2, 0xEC, 0x6F, 0xD2, 0x0C, 0x02, 0x59, 0x0E,
+ 0xA2, 0x80, 0x7E, 0x1B, 0xEE, 0xBA, 0xA9, 0x1B, 0x5A, 0x5F, 0x03, 0x12,
+ 0x54, 0x3F, 0x6F, 0xC6, 0x3C, 0x0B, 0x82, 0x24, 0x15, 0x32, 0xD2, 0xC4,
+ 0x97, 0xEC, 0xEE, 0x54, 0xC0, 0xE6, 0x5E, 0x4F, 0x93, 0x83, 0x6A, 0x8A,
+ 0x69, 0x09, 0x42, 0x67, 0x3A, 0x6C, 0x61, 0x11, 0x39, 0x66, 0xCA, 0x56,
+ 0x6C, 0x2C, 0xE9, 0x60, 0x6B, 0xD8, 0x97, 0xB9, 0x00, 0xD7, 0x66, 0x1B,
+ 0x9A, 0x0C, 0xB5, 0x36, 0x0C, 0x0A, 0x8D, 0x65, 0x5F, 0x7A, 0x5D, 0x99,
+ 0x91, 0x36, 0xAD, 0x8E, 0xCD, 0xDA, 0xE0, 0x6C, 0x11, 0xF2, 0x14, 0x4D,
+ 0xD6, 0x45, 0x29, 0xB6, 0x2C, 0xB1, 0xF1, 0x29, 0x4D, 0xF2, 0x22, 0xBF,
+ 0xA6, 0xE5, 0x78, 0x0F, 0xEC, 0x07, 0xFB, 0xA3, 0xF7, 0xEC, 0xA8, 0x6B,
+ 0x59, 0x3C, 0x26, 0x11, 0xA7, 0x45, 0xBC, 0x20, 0x6F, 0xE3, 0x07, 0xD4,
+ 0x10, 0x3A, 0x3B, 0x68, 0xD3, 0xCA, 0x41, 0xA7, 0x72, 0x95, 0x41, 0x1D,
+ 0x44, 0x85, 0x3B, 0x08, 0xF5, 0x2B, 0xC7, 0x46, 0x78, 0xE6, 0xC2, 0x2C,
+ 0x17, 0x00, 0x76, 0x45, 0x64, 0xF3, 0xA3, 0x91, 0xF7, 0x87, 0xFF, 0x5F,
+ 0x97, 0xA9, 0x50, 0xC7, 0x2F, 0x27, 0x1F, 0x49, 0x3C, 0xF6, 0x4E, 0x80,
+ 0x89, 0x25, 0x23, 0x12, 0x09, 0xB8, 0xBE, 0x77, 0xC8, 0x62, 0xC7, 0x7B,
+ 0x7C, 0x04, 0xC3, 0x61, 0x1C, 0x86, 0x39, 0x7A, 0xF4, 0x9D, 0xAF, 0x0B,
+ 0xAA, 0x4E, 0xDE, 0x81, 0x71, 0x45, 0x86, 0xC0, 0xA6, 0xC5, 0x21, 0x0E,
+ 0x46, 0xAB, 0x49, 0xAA, 0x56, 0xAD, 0x0D, 0xC8, 0x6B, 0x02, 0x07, 0xE5,
+ 0xA2, 0xF8, 0xDE, 0x98, 0x85, 0xB8, 0x40, 0x76, 0xC3, 0x10, 0xD0, 0x9C,
+ 0xE3, 0x24, 0xE9, 0xCC, 0x27, 0x56, 0x87, 0xB0, 0x54, 0xA0, 0xB4, 0xC6,
+ 0x19, 0x76, 0x0A, 0x5F, 0x3C, 0x4E, 0x73, 0xA6, 0x1C, 0xDF, 0x37, 0xC2,
+ 0x76, 0x26, 0x1D, 0xB1, 0xE0, 0x7F, 0x53, 0x61, 0x04, 0x4E, 0xEC, 0x1E,
+ 0x69, 0xCC, 0xA9, 0xBD, 0x48, 0xC3, 0xAD, 0xCF, 0x68, 0x0B, 0x9E, 0x47,
+ 0xD1, 0x5A, 0x2F, 0x39, 0x23, 0x54, 0x37, 0xCD, 0x40, 0xE7, 0xC9, 0x54,
+ 0x1A, 0x06, 0xC0, 0xDA, 0xB1, 0x3A, 0x30, 0x29, 0x43, 0x38, 0x56, 0x1F,
+ 0xB3, 0x26, 0xE8, 0x27, 0x5E, 0xD2, 0x83, 0x2F, 0x77, 0xD9, 0x5C, 0x63,
+ 0x91, 0x5C, 0x06, 0x9F, 0xD4, 0xF5, 0x9A, 0xFF, 0x38, 0x84, 0x58, 0xB9,
+ 0xB3, 0x9E, 0x4E, 0x0E, 0x24, 0xC9, 0x93, 0x24, 0x77, 0xDD, 0x52, 0xFF,
+ 0x83, 0xDB, 0xDD, 0x24, 0xF2, 0xB6, 0x39, 0xFF, 0x9A, 0x32, 0x15, 0x66,
+ 0x73, 0xDF, 0x05, 0x1C, 0x35, 0xB6, 0xF4, 0xF3, 0x2F, 0x21, 0x78, 0xB2,
+ 0xEC, 0xD0, 0x9E, 0x7E, 0x9A, 0xFD, 0x4B, 0x62, 0xDD, 0x55, 0x16, 0xA0,
+ 0xE2, 0xBE, 0x2C, 0x89, 0x53, 0x87, 0x28, 0x4B, 0xAF, 0x82, 0x8F, 0x88,
+ 0x6C, 0x0C, 0xF4, 0x67, 0x40, 0x5B, 0x0A, 0x67, 0xFA, 0xF7, 0x6E, 0x4D,
+ 0x1A, 0xD9, 0x33, 0x11, 0xC8, 0xAF, 0x07, 0xEE, 0xF1, 0x6F, 0x17, 0x29,
+ 0xF6, 0x06, 0x46, 0xF3, 0xDB, 0xB9, 0x2D, 0xB0, 0x20, 0x44, 0xF9, 0xFE,
+ 0x56, 0x33, 0x38, 0xDA, 0xC3, 0x0E, 0xC1, 0x65, 0x8A, 0xFF, 0xEA, 0xAC,
+ 0xC7, 0xBC, 0x42, 0x12, 0x58, 0x8C, 0x32, 0x25, 0x19, 0xB3, 0xB9, 0x0B,
+ 0x66, 0x55, 0xC2, 0xEC, 0x50, 0x9C, 0x73, 0xE9, 0x9E, 0x4B, 0x27, 0x50,
+ 0xBB, 0x71, 0x1B, 0xBC, 0xD3, 0x9F, 0xBD, 0xC5, 0x39, 0x9C, 0xA9, 0x3E,
+ 0xFE, 0xEF, 0x0C, 0xE8, 0x2E, 0x51, 0xD0, 0x8A, 0xC3, 0x50, 0xBC, 0x0B,
+ 0x5E, 0x50, 0x38, 0x35, 0xEB, 0xE1, 0xB6, 0xF8, 0x4C, 0x42, 0xE1, 0xAB,
+ 0x43, 0xC9, 0xD8, 0x86, 0xD1, 0x4A, 0xFA, 0xAB, 0x89, 0xA0, 0xBA, 0x4A,
+ 0x7C, 0x94, 0x9B, 0x9D, 0x11, 0x5C, 0x7F, 0x83, 0x7D, 0x74, 0x95, 0xA7,
+ 0x80, 0x10, 0x3B, 0xE8, 0xBE, 0x9F, 0x51, 0x4A, 0x34, 0x97, 0x03, 0xFD,
+ 0x0E, 0x41, 0x8D, 0xBE, 0x88, 0xF2, 0x27, 0x88, 0x0C, 0xE5, 0xB2, 0xDD,
+ 0x54, 0xC0, 0xBC, 0xE1, 0xFF, 0x61, 0x89, 0xC3, 0xCA, 0x89, 0x21, 0x6C,
+ 0xDD, 0x23, 0x0D, 0x59, 0x87, 0xBC, 0xD4, 0x6C, 0x3B, 0x6C, 0x2D, 0xE7,
+ 0xEE, 0x54, 0xB7, 0xDC, 0x96, 0x12, 0x3B, 0xAD, 0x7A, 0x9E, 0x2F, 0x92,
+ 0x6A, 0xF1, 0x95, 0x2F, 0x42, 0x4F, 0x39, 0xC8, 0x90, 0xD6, 0x1A, 0x9D,
+ 0xA8, 0xCF, 0xEB, 0xE1, 0x77, 0x08, 0x5D, 0x1A, 0x87, 0x60, 0x87, 0x6F,
+ 0x68, 0x64, 0x8A, 0x82, 0xDD, 0xB7, 0x99, 0x95, 0x1A, 0x10, 0x1B, 0x82,
+ 0x8F, 0x57, 0xE0, 0xCF, 0xE0, 0xFA, 0xC6, 0xD9, 0x08, 0x59, 0x62, 0xCF,
+ 0x45, 0x11, 0x3C, 0xC5, 0xBF, 0x6D, 0x7F, 0xC2, 0xAC, 0xBC, 0xEE, 0xB5,
+ 0x56, 0xDF, 0x2B, 0xC3, 0xD2, 0xFE, 0x67, 0xA8, 0x63, 0x31, 0x21, 0x34,
+ 0xE7, 0x3E, 0x50, 0x6D, 0xA9, 0xDC, 0x78, 0xB7, 0xC9, 0x43, 0x47, 0x21,
+ 0x7E, 0xAB, 0xB7, 0x3E, 0x24, 0x98, 0xD5, 0xF3, 0xA5, 0x29, 0x7F, 0x18,
+ 0x59, 0xBD, 0x13, 0x74, 0x8C, 0xDB, 0x3B, 0x70, 0xE5, 0x19, 0x71, 0xCC,
+ 0x01, 0xF0, 0x5B, 0x04, 0xEB, 0x08, 0x02, 0x28, 0xD5, 0x95, 0x9C, 0xC8,
+ 0xFE, 0x59, 0x61, 0xA0, 0x20, 0x92, 0xEC, 0x8D, 0x0A, 0x4D, 0x16, 0x80,
+ 0x6E, 0xB5, 0xD6, 0x08, 0x64, 0xC3, 0xEC, 0xF8, 0x01, 0x24, 0x42, 0x94,
+ 0x02, 0x2A, 0x08, 0x23, 0x87, 0x3D, 0xBE, 0x8D, 0xFB, 0x6D, 0x06, 0xB6,
+ 0xBA, 0xF6, 0x9C, 0xDD, 0x10, 0x7C, 0x96, 0x0A, 0xA4, 0xB2, 0xC3, 0x53,
+ 0x6B, 0xB4, 0x42, 0x46, 0x13, 0x74, 0xF8, 0xFC, 0xB0, 0x48, 0x32, 0x64,
+ 0x8B, 0x60, 0x03, 0x28, 0x64, 0xFA, 0x6F, 0x0A, 0xF7, 0x6F, 0x34, 0x35,
+ 0x5B, 0x93, 0x43, 0xDC, 0xF3, 0xC8, 0xF9, 0x9F, 0xED, 0xD8, 0x8C, 0xA3,
+ 0xD8, 0x3C, 0xAD, 0x67, 0x35, 0x1B, 0x45, 0x62, 0x06, 0x4E, 0xA1, 0x32,
+ 0x51, 0x80, 0x60, 0x63, 0x62, 0xD7, 0x9A, 0x76, 0xA1, 0xB3, 0xC6, 0x76,
+ 0x15, 0x2B, 0xA8, 0x0E, 0x82, 0xB8, 0x43, 0xD8, 0x5D, 0x53, 0x7E, 0xCE,
+ 0xFF, 0xDD, 0xCC, 0x95, 0xB4, 0x66, 0x1C, 0xFA, 0x4A, 0x70, 0xB0, 0x6F,
+ 0x92, 0x4D, 0x69, 0x2D, 0x87, 0xE1, 0xFB, 0x8E, 0x1C, 0xED, 0xD8, 0x5F,
+ 0x7A, 0xB9, 0x32, 0x4F, 0xF5, 0xD0, 0xA7, 0x53, 0xD8, 0x62, 0x59, 0x1B,
+ 0xE2, 0x39, 0xAB, 0xC9, 0x63, 0xB5, 0x0A, 0x7E, 0xF8, 0x70, 0xB0, 0x5F,
+ 0x27, 0x21, 0x21, 0x5E, 0xB9, 0x0A, 0x60, 0xE4, 0x66, 0x95, 0x5D, 0x52,
+ 0x2C, 0xA4, 0x21, 0x69, 0x44, 0x69, 0x35, 0x46};
+ EXPECT_EQ(Bytes(encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES),
+ Bytes(expected_public_key, DILITHIUM_PUBLIC_KEY_BYTES));
+
+ static const uint8_t expected_private_key[DILITHIUM_PRIVATE_KEY_BYTES] = {
+ 0x88, 0xC9, 0x3D, 0xEB, 0x90, 0x1A, 0x24, 0xA9, 0x45, 0xFA, 0x94, 0xAE,
+ 0x54, 0xDB, 0xAF, 0x46, 0xD8, 0x1C, 0xAC, 0xA9, 0x43, 0xFB, 0xE3, 0x20,
+ 0x42, 0x1C, 0x61, 0xB3, 0x32, 0x04, 0x84, 0x9F, 0x9B, 0x2E, 0x34, 0x8E,
+ 0x48, 0x65, 0x61, 0x66, 0x80, 0xFC, 0x18, 0x43, 0x76, 0xA8, 0xCC, 0xB8,
+ 0xDB, 0xE5, 0x98, 0x36, 0x5A, 0x23, 0xA2, 0x72, 0x39, 0x44, 0xF5, 0x35,
+ 0x1F, 0x42, 0xF4, 0x74, 0x20, 0x77, 0x58, 0x21, 0x02, 0xF6, 0xF3, 0x13,
+ 0xC2, 0x25, 0x64, 0xF8, 0x41, 0x4E, 0x37, 0x66, 0x70, 0x4F, 0xFD, 0x18,
+ 0x01, 0x7F, 0xDC, 0xAE, 0x57, 0x0D, 0xB8, 0xC8, 0xFC, 0xB5, 0x67, 0xE4,
+ 0x13, 0x21, 0x9C, 0xB4, 0xB4, 0x51, 0x75, 0xB8, 0x3E, 0x6B, 0xA5, 0xE3,
+ 0x22, 0xA1, 0x12, 0xD1, 0x8C, 0xF9, 0xF3, 0x56, 0xB5, 0x76, 0x97, 0x23,
+ 0x03, 0x50, 0xD2, 0x59, 0x1E, 0xE0, 0x2A, 0xD2, 0x65, 0x45, 0x15, 0x84,
+ 0x13, 0x23, 0x22, 0x25, 0x80, 0x32, 0x10, 0x40, 0x12, 0x06, 0x42, 0x60,
+ 0x83, 0x76, 0x18, 0x85, 0x50, 0x17, 0x66, 0x34, 0x73, 0x15, 0x10, 0x68,
+ 0x33, 0x33, 0x26, 0x40, 0x78, 0x28, 0x76, 0x15, 0x32, 0x51, 0x27, 0x24,
+ 0x30, 0x53, 0x38, 0x53, 0x35, 0x76, 0x47, 0x50, 0x65, 0x14, 0x11, 0x35,
+ 0x28, 0x86, 0x41, 0x24, 0x47, 0x44, 0x18, 0x54, 0x65, 0x64, 0x26, 0x58,
+ 0x21, 0x77, 0x85, 0x68, 0x11, 0x38, 0x50, 0x02, 0x13, 0x68, 0x41, 0x86,
+ 0x37, 0x85, 0x47, 0x26, 0x14, 0x48, 0x56, 0x44, 0x20, 0x72, 0x84, 0x86,
+ 0x37, 0x46, 0x27, 0x51, 0x16, 0x02, 0x12, 0x44, 0x36, 0x24, 0x72, 0x07,
+ 0x64, 0x32, 0x85, 0x42, 0x17, 0x18, 0x40, 0x10, 0x42, 0x17, 0x75, 0x18,
+ 0x41, 0x64, 0x58, 0x51, 0x48, 0x08, 0x67, 0x10, 0x34, 0x85, 0x07, 0x31,
+ 0x53, 0x28, 0x02, 0x75, 0x33, 0x63, 0x25, 0x54, 0x45, 0x72, 0x72, 0x07,
+ 0x26, 0x37, 0x13, 0x53, 0x03, 0x01, 0x86, 0x07, 0x52, 0x84, 0x46, 0x15,
+ 0x58, 0x53, 0x61, 0x12, 0x35, 0x02, 0x72, 0x21, 0x85, 0x45, 0x01, 0x56,
+ 0x24, 0x00, 0x84, 0x53, 0x48, 0x26, 0x87, 0x40, 0x11, 0x86, 0x36, 0x42,
+ 0x31, 0x30, 0x11, 0x26, 0x00, 0x00, 0x83, 0x04, 0x71, 0x15, 0x28, 0x54,
+ 0x73, 0x10, 0x53, 0x04, 0x48, 0x63, 0x57, 0x43, 0x45, 0x67, 0x14, 0x11,
+ 0x47, 0x36, 0x04, 0x42, 0x38, 0x01, 0x36, 0x01, 0x57, 0x58, 0x56, 0x42,
+ 0x58, 0x14, 0x67, 0x56, 0x33, 0x20, 0x16, 0x46, 0x05, 0x40, 0x71, 0x68,
+ 0x66, 0x05, 0x73, 0x62, 0x11, 0x15, 0x10, 0x76, 0x63, 0x74, 0x13, 0x35,
+ 0x77, 0x14, 0x20, 0x05, 0x55, 0x14, 0x82, 0x06, 0x32, 0x82, 0x75, 0x44,
+ 0x84, 0x86, 0x82, 0x08, 0x15, 0x27, 0x30, 0x68, 0x58, 0x18, 0x65, 0x81,
+ 0x38, 0x88, 0x74, 0x24, 0x10, 0x73, 0x35, 0x78, 0x47, 0x81, 0x45, 0x57,
+ 0x57, 0x84, 0x51, 0x04, 0x87, 0x41, 0x34, 0x88, 0x66, 0x60, 0x62, 0x63,
+ 0x48, 0x76, 0x80, 0x01, 0x64, 0x63, 0x70, 0x16, 0x83, 0x64, 0x08, 0x30,
+ 0x32, 0x11, 0x67, 0x66, 0x60, 0x76, 0x36, 0x37, 0x80, 0x83, 0x56, 0x74,
+ 0x70, 0x17, 0x07, 0x51, 0x60, 0x43, 0x12, 0x37, 0x86, 0x37, 0x06, 0x55,
+ 0x60, 0x44, 0x58, 0x23, 0x55, 0x11, 0x47, 0x60, 0x78, 0x62, 0x72, 0x84,
+ 0x45, 0x64, 0x61, 0x55, 0x14, 0x50, 0x28, 0x82, 0x77, 0x14, 0x88, 0x68,
+ 0x51, 0x56, 0x51, 0x84, 0x16, 0x55, 0x02, 0x55, 0x35, 0x11, 0x16, 0x13,
+ 0x13, 0x80, 0x72, 0x21, 0x68, 0x04, 0x02, 0x07, 0x81, 0x75, 0x41, 0x32,
+ 0x10, 0x26, 0x10, 0x53, 0x32, 0x37, 0x25, 0x13, 0x58, 0x85, 0x60, 0x48,
+ 0x66, 0x66, 0x76, 0x36, 0x05, 0x15, 0x34, 0x00, 0x68, 0x60, 0x36, 0x78,
+ 0x17, 0x73, 0x53, 0x23, 0x03, 0x58, 0x45, 0x85, 0x58, 0x53, 0x82, 0x55,
+ 0x61, 0x45, 0x87, 0x32, 0x31, 0x70, 0x26, 0x51, 0x82, 0x16, 0x01, 0x61,
+ 0x54, 0x75, 0x61, 0x34, 0x35, 0x45, 0x32, 0x05, 0x25, 0x36, 0x46, 0x50,
+ 0x30, 0x75, 0x12, 0x43, 0x75, 0x01, 0x63, 0x18, 0x31, 0x46, 0x24, 0x23,
+ 0x27, 0x77, 0x66, 0x38, 0x01, 0x87, 0x84, 0x26, 0x42, 0x48, 0x37, 0x80,
+ 0x77, 0x47, 0x44, 0x45, 0x30, 0x33, 0x57, 0x43, 0x84, 0x02, 0x53, 0x72,
+ 0x45, 0x33, 0x07, 0x68, 0x11, 0x41, 0x51, 0x26, 0x52, 0x23, 0x20, 0x80,
+ 0x13, 0x07, 0x36, 0x12, 0x22, 0x36, 0x42, 0x61, 0x37, 0x63, 0x00, 0x38,
+ 0x48, 0x61, 0x83, 0x31, 0x34, 0x62, 0x33, 0x05, 0x05, 0x00, 0x75, 0x16,
+ 0x64, 0x18, 0x50, 0x62, 0x05, 0x17, 0x58, 0x68, 0x74, 0x55, 0x34, 0x51,
+ 0x43, 0x30, 0x68, 0x72, 0x81, 0x11, 0x88, 0x60, 0x01, 0x63, 0x50, 0x37,
+ 0x11, 0x86, 0x66, 0x33, 0x28, 0x18, 0x83, 0x10, 0x83, 0x07, 0x45, 0x27,
+ 0x36, 0x50, 0x72, 0x01, 0x05, 0x18, 0x27, 0x37, 0x22, 0x37, 0x25, 0x38,
+ 0x56, 0x35, 0x30, 0x52, 0x11, 0x02, 0x41, 0x78, 0x61, 0x38, 0x26, 0x58,
+ 0x37, 0x74, 0x83, 0x10, 0x43, 0x54, 0x81, 0x13, 0x61, 0x72, 0x60, 0x26,
+ 0x48, 0x85, 0x05, 0x78, 0x38, 0x04, 0x07, 0x60, 0x30, 0x21, 0x10, 0x70,
+ 0x18, 0x21, 0x74, 0x06, 0x81, 0x05, 0x68, 0x80, 0x32, 0x63, 0x75, 0x66,
+ 0x43, 0x82, 0x26, 0x40, 0x12, 0x81, 0x11, 0x60, 0x47, 0x85, 0x03, 0x28,
+ 0x83, 0x44, 0x26, 0x67, 0x41, 0x72, 0x22, 0x67, 0x08, 0x30, 0x04, 0x32,
+ 0x21, 0x70, 0x54, 0x50, 0x55, 0x37, 0x65, 0x28, 0x86, 0x20, 0x25, 0x65,
+ 0x42, 0x74, 0x50, 0x64, 0x14, 0x12, 0x77, 0x38, 0x25, 0x11, 0x84, 0x76,
+ 0x61, 0x85, 0x61, 0x47, 0x37, 0x48, 0x80, 0x47, 0x08, 0x58, 0x80, 0x18,
+ 0x24, 0x12, 0x04, 0x54, 0x36, 0x44, 0x21, 0x30, 0x81, 0x14, 0x56, 0x75,
+ 0x28, 0x43, 0x20, 0x21, 0x50, 0x13, 0x87, 0x55, 0x72, 0x76, 0x08, 0x85,
+ 0x64, 0x82, 0x62, 0x28, 0x38, 0x42, 0x44, 0x02, 0x84, 0x45, 0x87, 0x23,
+ 0x37, 0x74, 0x17, 0x33, 0x41, 0x67, 0x31, 0x10, 0x07, 0x04, 0x83, 0x01,
+ 0x40, 0x68, 0x73, 0x02, 0x77, 0x18, 0x71, 0x16, 0x36, 0x73, 0x74, 0x84,
+ 0x05, 0x80, 0x22, 0x27, 0x78, 0x65, 0x58, 0x65, 0x75, 0x27, 0x56, 0x18,
+ 0x61, 0x71, 0x86, 0x80, 0x68, 0x26, 0x76, 0x23, 0x57, 0x03, 0x40, 0x72,
+ 0x80, 0x87, 0x44, 0x02, 0x62, 0x06, 0x44, 0x13, 0x32, 0x17, 0x84, 0x40,
+ 0x75, 0x30, 0x43, 0x26, 0x75, 0x40, 0x41, 0x53, 0x51, 0x02, 0x22, 0x80,
+ 0x11, 0x27, 0x82, 0x85, 0x78, 0x28, 0x63, 0x28, 0x62, 0x02, 0x45, 0x51,
+ 0x44, 0x84, 0x03, 0x80, 0x18, 0x55, 0x48, 0x16, 0x20, 0x82, 0x05, 0x50,
+ 0x44, 0x56, 0x24, 0x22, 0x20, 0x26, 0x06, 0x50, 0x73, 0x06, 0x45, 0x14,
+ 0x67, 0x23, 0x06, 0x21, 0x31, 0x03, 0x67, 0x24, 0x55, 0x50, 0x02, 0x75,
+ 0x23, 0x42, 0x57, 0x20, 0x57, 0x67, 0x25, 0x66, 0x44, 0x07, 0x84, 0x21,
+ 0x53, 0x65, 0x57, 0x40, 0x84, 0x14, 0x50, 0x12, 0x46, 0x68, 0x56, 0x04,
+ 0x45, 0x03, 0x71, 0x26, 0x82, 0x57, 0x45, 0x44, 0x18, 0x22, 0x67, 0x47,
+ 0x83, 0x48, 0x53, 0x31, 0x03, 0x22, 0x21, 0x53, 0x48, 0x05, 0x26, 0x41,
+ 0x54, 0x58, 0x04, 0x33, 0x51, 0x33, 0x24, 0x32, 0x38, 0x85, 0x44, 0x76,
+ 0x28, 0x82, 0x58, 0x17, 0x14, 0x03, 0x40, 0x65, 0x84, 0x25, 0x06, 0x05,
+ 0x21, 0x21, 0x85, 0x74, 0x00, 0x51, 0x60, 0x21, 0x22, 0x76, 0x58, 0x74,
+ 0x65, 0x82, 0x61, 0x23, 0x53, 0x40, 0x53, 0x07, 0x05, 0x72, 0x67, 0x33,
+ 0x83, 0x44, 0x88, 0x86, 0x77, 0x34, 0x40, 0x61, 0x74, 0x27, 0x14, 0x32,
+ 0x81, 0x42, 0x33, 0x32, 0x52, 0x66, 0x33, 0x47, 0x63, 0x21, 0x68, 0x32,
+ 0x48, 0x01, 0x20, 0x57, 0x42, 0x56, 0x48, 0x51, 0x86, 0x74, 0x11, 0x26,
+ 0x84, 0x02, 0x23, 0x36, 0x26, 0x28, 0x45, 0x78, 0x36, 0x50, 0x81, 0x13,
+ 0x52, 0x03, 0x38, 0x83, 0x17, 0x58, 0x53, 0x81, 0x76, 0x86, 0x78, 0x34,
+ 0x14, 0x67, 0x53, 0x68, 0x21, 0x88, 0x71, 0x33, 0x77, 0x66, 0x15, 0x06,
+ 0x74, 0x77, 0x50, 0x77, 0x72, 0x08, 0x87, 0x88, 0x47, 0x52, 0x23, 0x16,
+ 0x01, 0x38, 0x80, 0x47, 0x15, 0x72, 0x85, 0x35, 0x78, 0x60, 0x23, 0x26,
+ 0x06, 0x46, 0x82, 0x60, 0x21, 0x88, 0x57, 0x12, 0x30, 0x62, 0x81, 0x64,
+ 0x78, 0x12, 0x06, 0x23, 0x72, 0x81, 0x12, 0x86, 0x36, 0x36, 0x11, 0x04,
+ 0x67, 0x27, 0x80, 0x80, 0x57, 0x72, 0x04, 0x42, 0x77, 0x61, 0x32, 0x78,
+ 0x10, 0x67, 0x71, 0x63, 0x52, 0x48, 0x83, 0x61, 0x06, 0x27, 0x33, 0x25,
+ 0x18, 0x66, 0x05, 0x46, 0x85, 0x85, 0x78, 0x40, 0x45, 0x74, 0x20, 0x54,
+ 0x20, 0x23, 0x54, 0x51, 0x55, 0x76, 0x53, 0x77, 0x85, 0x70, 0x84, 0x58,
+ 0x22, 0x44, 0x50, 0x84, 0x65, 0x13, 0x50, 0x35, 0x17, 0x24, 0x58, 0x26,
+ 0x18, 0x16, 0x55, 0x43, 0x34, 0x25, 0x43, 0x17, 0x16, 0x61, 0x71, 0x31,
+ 0x38, 0x24, 0x37, 0x22, 0x88, 0x33, 0x04, 0x86, 0x34, 0x88, 0x30, 0x23,
+ 0x21, 0x35, 0x36, 0x87, 0x17, 0x23, 0x26, 0x33, 0x20, 0x44, 0x80, 0x24,
+ 0x53, 0x62, 0x72, 0x43, 0x25, 0x70, 0x22, 0x61, 0x53, 0x61, 0x28, 0x25,
+ 0x20, 0x07, 0x64, 0x13, 0x20, 0x83, 0x14, 0x67, 0x77, 0x68, 0x02, 0x11,
+ 0x48, 0x87, 0x48, 0x84, 0x65, 0x41, 0x08, 0x26, 0x05, 0x36, 0x02, 0x54,
+ 0x30, 0x10, 0x76, 0x26, 0x01, 0x42, 0x74, 0x24, 0x20, 0x86, 0x71, 0x53,
+ 0x23, 0x71, 0x63, 0x62, 0x10, 0x14, 0x72, 0x24, 0x85, 0x01, 0x33, 0x52,
+ 0x00, 0x33, 0x28, 0x18, 0x70, 0x04, 0x55, 0x74, 0x58, 0x77, 0x35, 0x04,
+ 0x05, 0x33, 0x70, 0x47, 0x83, 0x16, 0x54, 0x12, 0x68, 0x00, 0x78, 0x73,
+ 0x11, 0x57, 0x47, 0x70, 0x51, 0x15, 0x26, 0x14, 0x32, 0x45, 0x17, 0x58,
+ 0x10, 0x88, 0x43, 0x17, 0x85, 0x41, 0x72, 0x75, 0x16, 0x26, 0x32, 0x40,
+ 0x14, 0x73, 0x32, 0x10, 0x83, 0x81, 0x56, 0x78, 0x85, 0x65, 0x45, 0x74,
+ 0x67, 0x76, 0x37, 0x48, 0x74, 0x30, 0x48, 0x00, 0x62, 0x60, 0x07, 0x43,
+ 0x38, 0x63, 0x04, 0x83, 0x05, 0x24, 0x21, 0x68, 0x84, 0x71, 0x28, 0x48,
+ 0x51, 0x57, 0x78, 0x54, 0x60, 0x12, 0x72, 0x41, 0x37, 0x36, 0x80, 0x12,
+ 0x30, 0x31, 0x32, 0x05, 0x10, 0x75, 0x35, 0x57, 0x47, 0x64, 0x55, 0x61,
+ 0x84, 0x82, 0x25, 0x76, 0x71, 0x27, 0x10, 0x40, 0x40, 0x30, 0x50, 0x18,
+ 0x20, 0x53, 0x63, 0x54, 0x46, 0x61, 0x18, 0x42, 0x37, 0x17, 0x82, 0x00,
+ 0x33, 0x85, 0x20, 0x64, 0x25, 0x68, 0x63, 0x24, 0x50, 0x62, 0x78, 0x74,
+ 0x38, 0x43, 0x60, 0x87, 0x60, 0x16, 0x76, 0x47, 0x05, 0x28, 0x12, 0x75,
+ 0x64, 0x34, 0x85, 0x01, 0x50, 0x30, 0x40, 0x62, 0x12, 0x38, 0x35, 0x64,
+ 0x52, 0x44, 0x00, 0x05, 0x55, 0x33, 0x48, 0x54, 0x84, 0x03, 0x04, 0x84,
+ 0x60, 0x70, 0x52, 0x26, 0x72, 0x40, 0x60, 0x04, 0x82, 0x55, 0x81, 0x02,
+ 0x14, 0x71, 0x43, 0x53, 0x63, 0x61, 0x11, 0x18, 0x44, 0x17, 0x85, 0x68,
+ 0x30, 0x41, 0x81, 0x40, 0x20, 0x15, 0x45, 0x70, 0x74, 0x43, 0x30, 0x53,
+ 0x37, 0x42, 0x11, 0x38, 0x03, 0x62, 0x72, 0x62, 0x11, 0x24, 0x18, 0x47,
+ 0x4C, 0x22, 0x1B, 0x25, 0xDF, 0xE6, 0x5E, 0x91, 0x3E, 0x32, 0x54, 0x5D,
+ 0xD2, 0xC3, 0x33, 0x5E, 0x6C, 0x6C, 0xFF, 0x3F, 0x73, 0xD2, 0xA4, 0xD2,
+ 0xEE, 0x3C, 0xCC, 0xF8, 0x15, 0x0F, 0x4A, 0x4A, 0xA3, 0x4F, 0xE4, 0xDE,
+ 0xEE, 0x18, 0x8A, 0xDF, 0x12, 0x8F, 0xB7, 0xA2, 0xB5, 0x49, 0xA9, 0x6D,
+ 0x67, 0xE4, 0xAB, 0xE2, 0x80, 0x08, 0x9C, 0xF1, 0x6D, 0xE0, 0x78, 0x48,
+ 0x3C, 0x9D, 0x88, 0xCC, 0xB2, 0x92, 0x17, 0x0D, 0x58, 0x5A, 0x43, 0x82,
+ 0xBF, 0x1C, 0x69, 0xFE, 0x4E, 0x93, 0x86, 0xCA, 0x1D, 0x5B, 0xBA, 0x67,
+ 0x3B, 0x92, 0xAB, 0x78, 0xAE, 0xC2, 0x93, 0x54, 0x52, 0x21, 0xDE, 0xFF,
+ 0x40, 0x19, 0x08, 0x1B, 0xDF, 0xB9, 0x37, 0x44, 0x41, 0xC9, 0x32, 0x8E,
+ 0x45, 0xA3, 0x06, 0xB3, 0x19, 0x3B, 0xC8, 0xF2, 0x07, 0xF9, 0x14, 0xA5,
+ 0xE4, 0xEE, 0x76, 0xC4, 0xFD, 0x52, 0x13, 0xCD, 0x17, 0x95, 0x29, 0x4A,
+ 0x0C, 0xF5, 0x70, 0x15, 0x5D, 0x12, 0x41, 0x48, 0x65, 0x7B, 0x5E, 0x20,
+ 0x9A, 0x64, 0xBC, 0xEB, 0x01, 0x7F, 0x58, 0xC3, 0xF8, 0x51, 0xCB, 0x79,
+ 0x16, 0xBF, 0x22, 0xA0, 0xF9, 0x4D, 0x24, 0x8D, 0xB7, 0xF6, 0xE3, 0x75,
+ 0x85, 0x45, 0xAA, 0x63, 0xF8, 0x97, 0x57, 0xBF, 0xB1, 0xC0, 0x3F, 0x43,
+ 0xBB, 0xA7, 0x00, 0xEE, 0xBA, 0xA8, 0x4E, 0xDD, 0xE9, 0x61, 0xCC, 0x20,
+ 0x51, 0x54, 0x41, 0x1C, 0xA1, 0x04, 0x81, 0xA8, 0x8F, 0xE1, 0x01, 0xDB,
+ 0x0B, 0xA3, 0x75, 0xCF, 0xBC, 0xC6, 0xE7, 0x77, 0xAC, 0xD7, 0x2F, 0x00,
+ 0x20, 0x2B, 0xFB, 0xA2, 0x2F, 0xE5, 0xC0, 0x96, 0x4C, 0xA2, 0x87, 0xD0,
+ 0x0C, 0xB9, 0x3A, 0x01, 0xC2, 0x35, 0xA3, 0xA6, 0xE7, 0x31, 0x68, 0x70,
+ 0x39, 0xA8, 0x6F, 0xF1, 0xC5, 0xC2, 0x11, 0x86, 0x8D, 0xD4, 0x1B, 0x32,
+ 0x61, 0x4A, 0x48, 0xE1, 0x09, 0x15, 0x60, 0x79, 0xF7, 0x66, 0x8D, 0xF0,
+ 0x88, 0x79, 0xAF, 0xC7, 0xD0, 0xE2, 0x31, 0x97, 0xAA, 0xF7, 0xE6, 0x30,
+ 0x16, 0x9E, 0x53, 0xD7, 0x37, 0x97, 0x42, 0x7F, 0x0E, 0x8C, 0x47, 0x27,
+ 0xED, 0xAC, 0xE5, 0xE7, 0xB6, 0x93, 0x0D, 0x5E, 0x1A, 0x85, 0x91, 0xB6,
+ 0x00, 0x76, 0x80, 0xB1, 0x97, 0x64, 0x2A, 0x71, 0xDC, 0x64, 0x5D, 0x1A,
+ 0x24, 0x0D, 0xA6, 0x93, 0x0F, 0xDD, 0xC2, 0xAE, 0x6A, 0x5A, 0xF0, 0x9C,
+ 0xDA, 0x16, 0x20, 0x1E, 0x0B, 0x41, 0x48, 0x4B, 0xFB, 0x1C, 0xD9, 0x27,
+ 0x7C, 0xA6, 0x76, 0xD4, 0x6A, 0x48, 0xD6, 0x66, 0x37, 0xFC, 0xC3, 0x2D,
+ 0x2E, 0xF5, 0xDE, 0x2E, 0xD4, 0x97, 0x42, 0x38, 0x34, 0x7C, 0x81, 0xBF,
+ 0x18, 0x3F, 0x5B, 0xBD, 0xE7, 0x90, 0x1D, 0x56, 0xF8, 0xA8, 0xF1, 0x94,
+ 0xE8, 0x36, 0x43, 0x26, 0x97, 0xBD, 0xDD, 0x22, 0xB0, 0xC8, 0x2B, 0x37,
+ 0x47, 0x68, 0x93, 0xF5, 0x2F, 0xD2, 0xA3, 0xA4, 0xE3, 0xD7, 0xD7, 0x01,
+ 0xFE, 0x37, 0x01, 0xB5, 0x94, 0x57, 0x36, 0xD9, 0x7F, 0x5C, 0xD0, 0x29,
+ 0x30, 0x2D, 0x9C, 0x14, 0xF0, 0xFF, 0x98, 0x1A, 0xDF, 0x7C, 0xC0, 0xB1,
+ 0xA5, 0x2E, 0x04, 0x90, 0xD5, 0xE8, 0xB3, 0xEB, 0x8D, 0x5E, 0x95, 0xC8,
+ 0xF2, 0x59, 0x91, 0x43, 0x84, 0x9A, 0xDA, 0x2D, 0x1A, 0x9F, 0x2A, 0xE8,
+ 0x8C, 0x69, 0x56, 0x35, 0x69, 0x5C, 0x1F, 0x86, 0x0D, 0x5E, 0x59, 0x19,
+ 0x11, 0xE7, 0x9E, 0xE6, 0x6D, 0x74, 0x2C, 0x14, 0x41, 0x97, 0x4F, 0xCB,
+ 0xC2, 0x9C, 0x42, 0xD9, 0xBB, 0xFA, 0xC0, 0xBC, 0x71, 0xED, 0x75, 0x1E,
+ 0x56, 0xEF, 0xAF, 0x0C, 0x87, 0xD3, 0x15, 0x20, 0xCC, 0x17, 0xAA, 0x91,
+ 0x0E, 0xC9, 0x0C, 0xFF, 0x31, 0xD9, 0x15, 0x27, 0xDC, 0xD9, 0x40, 0xDC,
+ 0x02, 0x80, 0xEF, 0xCC, 0x3C, 0x2B, 0xD2, 0xB9, 0xBC, 0x8F, 0x0B, 0x47,
+ 0xE6, 0xBA, 0x57, 0x5E, 0xD4, 0xC5, 0xA4, 0x73, 0xB2, 0x6C, 0x54, 0x7E,
+ 0x82, 0xED, 0x73, 0x7F, 0x46, 0x76, 0xCF, 0x6E, 0x2E, 0xE6, 0xF9, 0x45,
+ 0xBE, 0xCE, 0x53, 0xDF, 0x76, 0x4E, 0x6F, 0xFF, 0xAB, 0x31, 0x39, 0x4D,
+ 0x4E, 0x0D, 0x56, 0x21, 0x9D, 0xE2, 0xB6, 0x04, 0xA0, 0x4D, 0x4D, 0xFF,
+ 0x79, 0xC1, 0x11, 0x5D, 0x79, 0x76, 0xD5, 0x71, 0xD6, 0x70, 0x03, 0x61,
+ 0x9C, 0x80, 0x1F, 0x05, 0x28, 0x8E, 0x2F, 0xCB, 0xDE, 0x51, 0x9A, 0x5E,
+ 0xD1, 0x0C, 0x17, 0x42, 0xC7, 0x80, 0xB2, 0xEA, 0xC2, 0x80, 0x15, 0xCE,
+ 0x8E, 0xC3, 0xCC, 0xC5, 0xD1, 0xAF, 0x22, 0xA8, 0xAC, 0x54, 0x20, 0x87,
+ 0x1E, 0xC6, 0xE8, 0x0E, 0x85, 0x27, 0xB3, 0xFF, 0xC5, 0xD2, 0xAB, 0x8C,
+ 0xE7, 0x20, 0x15, 0x13, 0x47, 0x6D, 0x0A, 0xC4, 0x4B, 0x35, 0x15, 0xB3,
+ 0x7A, 0xB1, 0xE6, 0xD9, 0x23, 0x79, 0xB1, 0x00, 0xD7, 0xE3, 0x61, 0x56,
+ 0xDF, 0xB2, 0x58, 0x6C, 0xCE, 0x1E, 0x2F, 0xDD, 0xA6, 0xFF, 0x51, 0x64,
+ 0x4A, 0x0B, 0x1B, 0x71, 0xB4, 0xB9, 0x76, 0x57, 0x8D, 0x05, 0xD4, 0xBB,
+ 0x8F, 0x2B, 0xC0, 0xE9, 0x16, 0x0A, 0x0F, 0x71, 0x4F, 0xE2, 0x70, 0xDF,
+ 0x89, 0x94, 0x74, 0x77, 0xD1, 0xCF, 0x24, 0x43, 0x6A, 0x16, 0x65, 0x88,
+ 0xD4, 0x65, 0xCE, 0xBA, 0x4E, 0x7A, 0xC8, 0x53, 0x12, 0xB4, 0x81, 0x93,
+ 0x84, 0xC9, 0xD0, 0x32, 0xAF, 0x59, 0xA6, 0x8E, 0x08, 0xAD, 0x10, 0x6A,
+ 0x3A, 0xA0, 0x0C, 0xCE, 0xA3, 0xF1, 0xC0, 0xB1, 0xF1, 0x32, 0x50, 0x42,
+ 0x51, 0x60, 0xD5, 0xB4, 0x46, 0xEA, 0x5D, 0x17, 0x98, 0xA2, 0xB9, 0xA2,
+ 0x81, 0x34, 0x45, 0xBC, 0x70, 0xEC, 0x44, 0x5E, 0x13, 0xE3, 0x71, 0xFA,
+ 0xB6, 0x3B, 0x6A, 0x71, 0x15, 0x54, 0xC4, 0xB4, 0xBE, 0xC8, 0xBE, 0x67,
+ 0x20, 0x12, 0xE9, 0xC0, 0x56, 0xA0, 0x89, 0x8A, 0x86, 0x58, 0x38, 0x3E,
+ 0x09, 0x3B, 0x2F, 0x57, 0x15, 0xD0, 0xC0, 0x26, 0xF8, 0xF5, 0xD7, 0x10,
+ 0x3B, 0x9B, 0x8C, 0x8C, 0xDF, 0x4A, 0x52, 0xEE, 0x26, 0xE5, 0x37, 0x17,
+ 0x59, 0x57, 0xEC, 0xE2, 0x87, 0x73, 0x3D, 0x17, 0xDF, 0x40, 0x3A, 0x57,
+ 0x1E, 0x8B, 0xE5, 0x39, 0x79, 0x7E, 0x54, 0x6B, 0xBB, 0xB2, 0x87, 0x19,
+ 0xDD, 0xB1, 0x48, 0xAC, 0xB2, 0x9E, 0xB0, 0x44, 0xBF, 0x5F, 0x6D, 0x4D,
+ 0x24, 0xF0, 0x85, 0x24, 0xEB, 0x54, 0x09, 0xF8, 0xDB, 0xBA, 0x7B, 0x64,
+ 0x72, 0xD6, 0x8E, 0x94, 0x74, 0x66, 0x06, 0x17, 0xCF, 0x5D, 0x6C, 0xDC,
+ 0x1E, 0xDF, 0x94, 0x17, 0xE6, 0x3C, 0xB3, 0x8B, 0x8B, 0x00, 0xE4, 0xB0,
+ 0xFA, 0xB4, 0x13, 0x47, 0x7F, 0x23, 0x4A, 0x48, 0xB4, 0x3D, 0x10, 0x7F,
+ 0xD9, 0x93, 0x1B, 0x7F, 0x7B, 0x50, 0x5E, 0xD5, 0x88, 0x2A, 0x50, 0xF0,
+ 0x9A, 0x59, 0xB6, 0x58, 0x65, 0xC0, 0x6B, 0xEC, 0x97, 0x91, 0x5F, 0xF3,
+ 0xB0, 0x4D, 0xCF, 0x95, 0xCB, 0xA4, 0x10, 0xE9, 0x30, 0xE9, 0xD5, 0x28,
+ 0x4B, 0x36, 0x6C, 0x60, 0x6F, 0xBC, 0x9B, 0xCD, 0xD0, 0x77, 0x64, 0xD6,
+ 0xAE, 0x69, 0x95, 0xB5, 0x1B, 0x18, 0x40, 0x7D, 0xDD, 0x91, 0x0B, 0x77,
+ 0x4D, 0xC4, 0x5A, 0x7F, 0x69, 0x2D, 0xE6, 0x6E, 0xB8, 0x7F, 0x54, 0xBB,
+ 0xD8, 0x35, 0xF9, 0x5E, 0x49, 0x12, 0xA4, 0x34, 0x9F, 0x8B, 0x89, 0x8A,
+ 0xA5, 0xE0, 0x80, 0x4A, 0xAB, 0x46, 0x07, 0xFF, 0xFE, 0x3C, 0xF4, 0x5F,
+ 0x40, 0xFA, 0x1E, 0x4E, 0xFF, 0xC0, 0xA4, 0x25, 0x20, 0xC7, 0x85, 0x94,
+ 0x42, 0xCE, 0x7F, 0xC6, 0x85, 0xF4, 0x5A, 0x9C, 0xCB, 0xC1, 0x5A, 0x5A,
+ 0xB5, 0xB9, 0x92, 0x7B, 0xDA, 0x21, 0xF8, 0x59, 0x08, 0xD2, 0xDE, 0x4B,
+ 0x9A, 0x8A, 0x82, 0xB7, 0xC0, 0xFE, 0xDF, 0x5B, 0x52, 0xF1, 0x24, 0xD5,
+ 0x77, 0x0A, 0x08, 0x0B, 0x07, 0xFA, 0xDE, 0xB5, 0x52, 0x46, 0x47, 0x08,
+ 0xDC, 0xD9, 0x3D, 0x89, 0xD9, 0xBB, 0x35, 0x25, 0xA5, 0x25, 0xB9, 0xF6,
+ 0x3D, 0xEF, 0x3A, 0xFE, 0xC9, 0x7D, 0xD3, 0xF7, 0x37, 0xF6, 0x12, 0xCF,
+ 0x54, 0x45, 0xD6, 0xBD, 0xB0, 0x89, 0xB2, 0xFF, 0xD1, 0x27, 0x6E, 0x11,
+ 0x25, 0xA3, 0x8E, 0xA1, 0xB1, 0x37, 0x3E, 0x28, 0xAF, 0x98, 0x78, 0x45,
+ 0xED, 0xB8, 0xCC, 0xAC, 0x32, 0x04, 0xC9, 0x88, 0xDD, 0x64, 0x36, 0x01,
+ 0x81, 0xD3, 0x4B, 0x5F, 0x2B, 0xD2, 0x11, 0x04, 0xFB, 0xC8, 0x6F, 0x19,
+ 0xDB, 0x1D, 0x73, 0x2E, 0xD4, 0x29, 0x8C, 0x72, 0xE0, 0x8C, 0x1D, 0x75,
+ 0xD8, 0x80, 0x09, 0x78, 0xE4, 0xCB, 0xAA, 0x3F, 0xA8, 0xE8, 0xB2, 0x99,
+ 0x19, 0x22, 0x88, 0x2C, 0xC8, 0x84, 0x1D, 0x33, 0xF8, 0xBA, 0x9F, 0xE1,
+ 0xC2, 0x49, 0x31, 0xA5, 0x41, 0x21, 0xB9, 0xB3, 0xC2, 0x45, 0x23, 0x79,
+ 0x7B, 0x58, 0x5F, 0x78, 0xBB, 0x38, 0xFF, 0xAB, 0x9F, 0x29, 0x1E, 0xD8,
+ 0x6E, 0x79, 0xB3, 0x63, 0x63, 0x72, 0x96, 0x32, 0xBB, 0x62, 0x64, 0xA9,
+ 0x5E, 0x24, 0xF1, 0x96, 0x65, 0x02, 0x97, 0x64, 0x99, 0x49, 0x03, 0xE3,
+ 0x33, 0x0E, 0xD3, 0x96, 0x7A, 0x6B, 0x1A, 0xDE, 0xB5, 0x03, 0x88, 0x85,
+ 0xB6, 0x18, 0x81, 0x86, 0xCF, 0xC9, 0x79, 0xC2, 0x07, 0x7B, 0xDB, 0x2A,
+ 0xE5, 0x31, 0xC7, 0x13, 0xCD, 0x58, 0xC2, 0x58, 0xD5, 0xD7, 0x67, 0xFB,
+ 0x05, 0x87, 0xC0, 0xF2, 0xC3, 0x77, 0x30, 0xEF, 0x32, 0x6B, 0x98, 0x25,
+ 0xA1, 0x85, 0x78, 0xB9, 0x52, 0x2C, 0x71, 0x08, 0x80, 0x35, 0x53, 0xE5,
+ 0x4A, 0x97, 0x24, 0x30, 0x0C, 0x69, 0xB5, 0x34, 0x2F, 0xFD, 0x88, 0x7D,
+ 0x1D, 0x7A, 0xE7, 0x44, 0xE7, 0x21, 0xE1, 0x61, 0x00, 0x1D, 0x2F, 0xAD,
+ 0x52, 0xAF, 0xA9, 0x3A, 0x63, 0xF9, 0xE1, 0xDD, 0x06, 0xA1, 0xAC, 0xD7,
+ 0x53, 0x2D, 0x46, 0x5E, 0xD1, 0x5B, 0x07, 0x57, 0x5C, 0x5B, 0x09, 0x91,
+ 0x7C, 0xB5, 0x5B, 0x7B, 0x17, 0x4A, 0x03, 0x7E, 0x0A, 0x03, 0xB5, 0x14,
+ 0x84, 0x66, 0x53, 0x1D, 0x5D, 0x31, 0x5D, 0xB5, 0x15, 0x6A, 0x58, 0x87,
+ 0x5C, 0x0C, 0xA2, 0x59, 0x65, 0x54, 0xD6, 0xA9, 0x7B, 0x3A, 0xE6, 0x8D,
+ 0xB6, 0xBC, 0x27, 0xF3, 0x2E, 0x2E, 0xF5, 0x4F, 0x8E, 0x18, 0x1C, 0xAE,
+ 0xF3, 0xB9, 0xF3, 0x29, 0x64, 0x3C, 0x82, 0x91, 0x22, 0x59, 0x75, 0x00,
+ 0x90, 0x32, 0xF9, 0xDC, 0x9C, 0x40, 0x9B, 0x97, 0x59, 0xBE, 0xE8, 0x75,
+ 0x9E, 0xAB, 0x07, 0x99, 0x5D, 0xAE, 0x0D, 0x87, 0xA1, 0x0B, 0x2B, 0x11,
+ 0x57, 0x36, 0x46, 0x66, 0xC9, 0xC9, 0x74, 0x09, 0x8C, 0x0A, 0x52, 0xB4,
+ 0x6C, 0x2A, 0xDE, 0x69, 0xAC, 0xE0, 0x8D, 0x1E, 0x92, 0x72, 0x6B, 0x33,
+ 0xCA, 0x12, 0x7C, 0xC2, 0x6E, 0x77, 0x5D, 0x1B, 0x41, 0x23, 0xFD, 0x48,
+ 0x32, 0xB3, 0x95, 0x4F, 0x25, 0x55, 0x01, 0x01, 0x57, 0xAB, 0x56, 0x64,
+ 0x41, 0x06, 0x67, 0xE8, 0x28, 0xA7, 0x65, 0xCC, 0x56, 0xFE, 0x2B, 0x7D,
+ 0x2A, 0xAC, 0xB2, 0x7B, 0x58, 0xB6, 0x44, 0xDB, 0x35, 0xAD, 0xD1, 0x63,
+ 0x8C, 0x9E, 0x52, 0x2B, 0xDF, 0x74, 0x81, 0xF1, 0xE3, 0x26, 0x5C, 0x8D,
+ 0x91, 0x08, 0x11, 0x39, 0xB3, 0xB8, 0x2A, 0x4E, 0x05, 0xDC, 0x44, 0x9E,
+ 0xA9, 0x4E, 0xCD, 0xC6, 0x39, 0x07, 0x4B, 0x5E, 0x61, 0x7C, 0x6B, 0x21,
+ 0xAD, 0x33, 0xF7, 0x95, 0x27, 0xD3, 0xD1, 0x0B, 0xEB, 0x57, 0x5A, 0xCD,
+ 0x38, 0x16, 0xA9, 0x93, 0x9B, 0xFE, 0x76, 0x6B, 0x8F, 0x4F, 0x07, 0xA1,
+ 0xAC, 0x9C, 0xA2, 0x19, 0x27, 0xD6, 0xC6, 0x09, 0xD7, 0x1A, 0x82, 0x19,
+ 0xC0, 0xD3, 0x9A, 0x22, 0x9C, 0x8E, 0xB2, 0x31, 0xFB, 0xDD, 0x53, 0xE7,
+ 0x56, 0xD8, 0x92, 0x50, 0xBC, 0x03, 0x81, 0x10, 0x41, 0xA8, 0xBD, 0xD2,
+ 0xA6, 0x0C, 0x39, 0x2D, 0xAE, 0x89, 0x9F, 0x6F, 0x5C, 0x57, 0x93, 0x56,
+ 0x50, 0x64, 0x9B, 0x6F, 0x21, 0xA2, 0x10, 0x46, 0x97, 0x8D, 0x4F, 0x2A,
+ 0x5D, 0xD1, 0x05, 0xFF, 0x16, 0x78, 0x0D, 0x54, 0xDF, 0x3F, 0x7B, 0x0D,
+ 0x1A, 0x6D, 0x68, 0xFD, 0x09, 0x15, 0xD1, 0x31, 0x81, 0x29, 0x2A, 0xD4,
+ 0x63, 0x35, 0x4B, 0x90, 0xDA, 0x2C, 0x77, 0x09, 0xFE, 0x3F, 0x24, 0x8C,
+ 0x4A, 0x46, 0x9E, 0xAE, 0x9C, 0xA5, 0x7A, 0x8E, 0xAB, 0xAD, 0xFD, 0x0E,
+ 0xB2, 0xBA, 0xAD, 0x54, 0x82, 0xB1, 0x45, 0x53, 0xDB, 0xA0, 0x53, 0x77,
+ 0xCB, 0x62, 0xAE, 0x9A, 0xD7, 0x6E, 0xD0, 0x7A, 0xDB, 0x93, 0x1E, 0x43,
+ 0x84, 0xFD, 0xD1, 0xE5, 0x5E, 0x4A, 0xE8, 0x29, 0xB9, 0x75, 0x09, 0xB3,
+ 0xC8, 0x4B, 0x67, 0x3D, 0xFF, 0x72, 0x68, 0x63, 0x65, 0x32, 0x28, 0x59,
+ 0xC5, 0x21, 0xF3, 0x66, 0xF3, 0x8A, 0xFC, 0x2E, 0x8F, 0x49, 0x26, 0xF4,
+ 0xD1, 0xD0, 0x04, 0x31, 0x12, 0x01, 0x27, 0xF1, 0xFD, 0xE2, 0x54, 0x67,
+ 0xDE, 0x45, 0x42, 0xD8, 0xEB, 0x43, 0x69, 0x03, 0x37, 0xA7, 0xB4, 0x05,
+ 0xB8, 0x8C, 0x3D, 0xB5, 0x2A, 0x46, 0x0D, 0x1B, 0x0B, 0xB8, 0xF8, 0x7E,
+ 0x1E, 0xB7, 0xDB, 0xC6, 0xD9, 0xBB, 0x50, 0xDC, 0x56, 0x1D, 0x76, 0xF2,
+ 0x3A, 0x5C, 0x4A, 0x74, 0x34, 0x12, 0xAD, 0xEF, 0x08, 0x39, 0x37, 0x64,
+ 0xFE, 0xAF, 0xFB, 0x3E, 0xE2, 0x72, 0xDA, 0xC0, 0x42, 0x06, 0x49, 0x79,
+ 0x0A, 0xFB, 0x07, 0x0F, 0x5F, 0xB8, 0x3B, 0x62, 0x83, 0xA6, 0xC6, 0x4C,
+ 0xBF, 0x69, 0xC4, 0x9D, 0x9A, 0x0C, 0xDC, 0xD6, 0x05, 0xE6, 0x9F, 0xBE,
+ 0xAA, 0x2A, 0x26, 0x72, 0xDC, 0x7D, 0xD1, 0xB4, 0x54, 0xC8, 0xE3, 0x0E,
+ 0x00, 0x22, 0xEF, 0x2A, 0xAB, 0x91, 0xC7, 0x86, 0x6A, 0xF4, 0x3B, 0x25,
+ 0x45, 0xB7, 0xD8, 0x66, 0x10, 0x0E, 0x56, 0xE6, 0x7D, 0xF1, 0x2A, 0x63,
+ 0x18, 0xCA, 0x07, 0xDE, 0xC5, 0x72, 0x6A, 0x14, 0xCC, 0xDC, 0x97, 0x28,
+ 0xB1, 0x69, 0xA1, 0xD0, 0x39, 0x50, 0x9C, 0x72, 0xC0, 0x29, 0xAE, 0x04,
+ 0xC2, 0x8C, 0x1D, 0x6F, 0x04, 0x02, 0xE7, 0x81, 0x9A, 0xCB, 0x65, 0x1E,
+ 0x03, 0xD0, 0x35, 0x87, 0x94, 0xB0, 0xD3, 0x25, 0x76, 0x33, 0x1B, 0x9C,
+ 0x00, 0x04, 0x24, 0x38, 0x19, 0xB0, 0xD4, 0xA2, 0x00, 0x6E, 0x81, 0xA3,
+ 0x6F, 0xE2, 0xA6, 0x7F, 0x70, 0x47, 0x3C, 0x90, 0xA1, 0x2D, 0xD6, 0xBA,
+ 0x66, 0x9D, 0x5A, 0x1F, 0x4D, 0xA3, 0xD5, 0x77, 0xFE, 0x9A, 0x8E, 0xBA,
+ 0x72, 0x63, 0xD5, 0x83, 0x7E, 0xB6, 0x00, 0x97, 0x64, 0x61, 0xE5, 0xDD,
+ 0x64, 0xB9, 0x3F, 0x48, 0x45, 0x11, 0xEE, 0x28, 0x81, 0x94, 0x9A, 0x59,
+ 0x74, 0xFC, 0xE1, 0x57, 0x5B, 0xF5, 0xD5, 0x28, 0xCA, 0xB6, 0x54, 0xCE,
+ 0xDC, 0x7C, 0x5E, 0x6E, 0x47, 0x52, 0x02, 0x4E, 0xC7, 0x11, 0x7E, 0xDF,
+ 0x5B, 0xC1, 0xED, 0x2E, 0xE7, 0xF6, 0xB3, 0xC2, 0x87, 0x3B, 0xD4, 0xEB,
+ 0x23, 0xEF, 0xE0, 0x02, 0x91, 0xDC, 0x81, 0xEF, 0x1B, 0x17, 0xCB, 0xB6,
+ 0x07, 0x23, 0xEA, 0xB8, 0x43, 0x5A, 0xC2, 0x79, 0x4E, 0x9A, 0x13, 0xD1,
+ 0x45, 0x43, 0x60, 0xFB, 0x18, 0xCB, 0x0B, 0x9B, 0x07, 0x33, 0x34, 0x3F,
+ 0xA0, 0x08, 0xDC, 0x45, 0x04, 0x6C, 0x82, 0x67, 0x28, 0xC3, 0x83, 0xFA,
+ 0x67, 0x20, 0xA9, 0xDC, 0x2C, 0xE1, 0x7A, 0xEF, 0xA0, 0xAB, 0x54, 0x8A,
+ 0xA0, 0x13, 0x8A, 0x18, 0x47, 0x51, 0xE7, 0xCC, 0x9F, 0x17, 0xFA, 0xF7,
+ 0x59, 0xEB, 0x18, 0x79, 0x3F, 0x04, 0x0D, 0xA4, 0x65, 0xAB, 0x67, 0x06,
+ 0xAF, 0xD8, 0xE0, 0x2C, 0x7A, 0xF5, 0x18, 0x07, 0xE2, 0xF5, 0x0D, 0x90,
+ 0xE8, 0x72, 0xA4, 0xDD, 0x03, 0x98, 0x63, 0x82, 0x9C, 0x1D, 0xFF, 0xEB,
+ 0x16, 0x84, 0xE6, 0x94, 0x51, 0x27, 0x88, 0x1B, 0xFF, 0x2E, 0x42, 0x10,
+ 0x7D, 0x64, 0x3B, 0xEB, 0xB2, 0x54, 0xA2, 0xCE, 0x48, 0x9E, 0x32, 0xD7,
+ 0xD5, 0x2A, 0x99, 0x76, 0x62, 0x51, 0x90, 0x77, 0x70, 0xA2, 0xA1, 0xF4,
+ 0xCE, 0xF9, 0xC1, 0x17, 0x13, 0x40, 0xBD, 0xED, 0xF1, 0xD5, 0x39, 0xB4,
+ 0xC3, 0x04, 0xF8, 0xB2, 0x24, 0x08, 0xAC, 0x24, 0xDD, 0x1E, 0x30, 0x7C,
+ 0xB7, 0x47, 0xEF, 0x11, 0xF6, 0xBB, 0x35, 0xEE, 0xD0, 0x4B, 0x9C, 0x98,
+ 0xE4, 0x77, 0xB9, 0x18, 0xA9, 0xF4, 0xC5, 0xEE, 0xA6, 0x50, 0x2F, 0x3D,
+ 0x06, 0x87, 0xEC, 0x5B, 0xBE, 0x77, 0xF2, 0xA5, 0xC7, 0xDD, 0x17, 0xBE,
+ 0xCF, 0x5E, 0x1F, 0x2D, 0xCF, 0xD1, 0x8B, 0x1C, 0x49, 0xC8, 0xC9, 0xA1,
+ 0xA7, 0xCC, 0xDE, 0x14, 0x43, 0xF3, 0xF7, 0x1D, 0x77, 0xFE, 0x07, 0x73,
+ 0x2C, 0x9C, 0xBA, 0x7A, 0x43, 0x29, 0x01, 0x85, 0xCA, 0xD7, 0xCD, 0x67,
+ 0x41, 0xB9, 0xDA, 0x4F, 0xE0, 0xC9, 0x84, 0xAC, 0x6E, 0xE6, 0xC1, 0x75,
+ 0xC7, 0xD6, 0xDE, 0x9E, 0xC6, 0x5E, 0xD3, 0xC0, 0xA6, 0xEE, 0xFE, 0x71,
+ 0x3D, 0xBC, 0xC2, 0xD6, 0x47, 0x8D, 0x65, 0x7A, 0x1E, 0x41, 0x7B, 0x8F,
+ 0x94, 0x81, 0x46, 0x3A, 0x79, 0x98, 0x79, 0x53, 0x1E, 0x99, 0x38, 0x3F,
+ 0xD3, 0xF7, 0xD4, 0xED, 0x22, 0xD0, 0x80, 0x43, 0x10, 0x5F, 0xFA, 0x67,
+ 0x61, 0xC0, 0xAC, 0x5B, 0x54, 0xCF, 0xEA, 0xCD, 0x88, 0x56, 0x64, 0xE5,
+ 0x50, 0x3E, 0xAE, 0x79, 0xA9, 0x69, 0x70, 0x13, 0xB6, 0x27, 0x2D, 0x69,
+ 0xE4, 0x8A, 0x60, 0xDC, 0xCF, 0xEB, 0x3A, 0xD2, 0x8E, 0x40, 0x23, 0x34,
+ 0xE7, 0x72, 0x14, 0x72, 0x93, 0x0C, 0xBD, 0xC9, 0x45, 0xA9, 0x8E, 0xD5,
+ 0xD7, 0x8C, 0xF8, 0xFC, 0xC6, 0x8F, 0xB2, 0x67, 0xC0, 0xD4, 0x97, 0x92,
+ 0x5A, 0x9C, 0x33, 0x82, 0x9B, 0x3C, 0x6B, 0x87, 0xA0, 0x17, 0x3D, 0xB9,
+ 0xBC, 0x55, 0xA7, 0x4A, 0x9F, 0x2C, 0x86, 0x85, 0x9A, 0xCA, 0x54, 0xB1,
+ 0x58, 0x98, 0x4B, 0x8F, 0xF7, 0x1F, 0x63, 0x61, 0x69, 0x1A, 0xB6, 0xEA,
+ 0x01, 0xB5, 0xA9, 0x22, 0x74, 0x90, 0x58, 0xD0, 0xE1, 0x88, 0x74, 0x7E,
+ 0x08, 0x83, 0x87, 0xFD, 0x42, 0xB6, 0x87, 0x9E, 0x87, 0x9F, 0x0F, 0x66,
+ 0xB2, 0x76, 0xFC, 0xFD, 0x55, 0x80, 0x11, 0x80, 0x82, 0x12, 0x53, 0x7A,
+ 0xE4, 0xA3, 0x5B, 0x30, 0x8A, 0xF2, 0x76, 0x87, 0xE6, 0xFB, 0x1A, 0xBE,
+ 0x6C, 0x90, 0x17, 0xCA, 0xA6, 0xE4, 0x77, 0x88, 0x92, 0x54, 0x68, 0x92,
+ 0x6F, 0xEF, 0x07, 0x84, 0x1D, 0x1B, 0xF4, 0x99, 0x6F, 0xB9, 0xD3, 0xBB,
+ 0x0E, 0x81, 0x97, 0x73, 0xE8, 0x49, 0x29, 0xE4, 0x3C, 0x28, 0xE4, 0xB5,
+ 0x06, 0x96, 0xC0, 0x8E, 0x1C, 0x7E, 0xF5, 0x1E, 0x46, 0xC9, 0x4C, 0x99,
+ 0x40, 0x1F, 0xE6, 0xB2, 0x81, 0x25, 0xDA, 0x89, 0xA6, 0x6D, 0x65, 0xD3,
+ 0x8B, 0x7A, 0x9D, 0xE8, 0xB0, 0x2B, 0x59, 0x57, 0x2A, 0x0F, 0x72, 0x46,
+ 0x67, 0x35, 0x8C, 0x69, 0x6B, 0x9E, 0xBE, 0x5D, 0xFC, 0x51, 0x1B, 0x1A};
+
+ bssl::ScopedCBB cbb;
+ EXPECT_TRUE(CBB_init(cbb.get(), DILITHIUM_PRIVATE_KEY_BYTES));
+ EXPECT_TRUE(DILITHIUM_marshal_private_key(cbb.get(), priv.get()));
+
+ uint8_t *m_data;
+ size_t m_size;
+ EXPECT_TRUE(CBB_finish(cbb.get(), &m_data, &m_size));
+
+ EXPECT_EQ(m_size, (size_t)DILITHIUM_PRIVATE_KEY_BYTES);
+ EXPECT_EQ(Bytes(m_data, m_size),
+ Bytes(expected_private_key, DILITHIUM_PRIVATE_KEY_BYTES));
+ OPENSSL_free(m_data);
+}
+
+TEST(DilithiumTest, SignatureHardCodedNIST) {
+ // Published on
+ // https://csrc.nist.gov/Projects/post-quantum-cryptography/post-quantum-cryptography-standardization/example-files
+ static const uint8_t encoded_private_key[DILITHIUM_PRIVATE_KEY_BYTES] = {
+ 0xD2, 0x6E, 0xE5, 0x9A, 0x89, 0xF6, 0x7C, 0x98, 0xB2, 0x0F, 0x89, 0x0B,
+ 0x03, 0x42, 0x2C, 0x80, 0x27, 0xB7, 0x76, 0xFC, 0x30, 0x5B, 0xEF, 0x42,
+ 0x2C, 0xDE, 0xD4, 0x03, 0xAA, 0x70, 0x5D, 0xA5, 0xDC, 0x38, 0x0A, 0xD9,
+ 0x09, 0xE3, 0xC1, 0x3A, 0x76, 0xF7, 0xF5, 0x9B, 0xDD, 0x27, 0xA8, 0x43,
+ 0xF5, 0xF9, 0xA1, 0xB8, 0xE5, 0xB7, 0xB5, 0x24, 0xEC, 0x44, 0x5A, 0x91,
+ 0x6B, 0x7A, 0x44, 0xA1, 0x51, 0x67, 0x71, 0x6B, 0xC6, 0x09, 0xB3, 0xEC,
+ 0x0C, 0x65, 0x3B, 0x21, 0x0C, 0x65, 0x69, 0xBA, 0x2F, 0x82, 0x33, 0xE7,
+ 0xF6, 0xE4, 0x04, 0xB9, 0x2E, 0xB2, 0x1F, 0x39, 0x72, 0x9F, 0xEB, 0xC0,
+ 0x6A, 0x64, 0x40, 0x87, 0xC7, 0x5F, 0xA7, 0xDA, 0x3D, 0xDC, 0x5B, 0x85,
+ 0xA8, 0x9F, 0x55, 0xC9, 0xF8, 0x7A, 0x15, 0x01, 0x4E, 0x27, 0xAB, 0x32,
+ 0x5E, 0xBE, 0xE0, 0xFE, 0x47, 0x2B, 0x2F, 0x56, 0x20, 0x58, 0x44, 0x86,
+ 0x03, 0x82, 0x53, 0x40, 0x18, 0x82, 0x88, 0x66, 0x44, 0x14, 0x76, 0x57,
+ 0x56, 0x85, 0x64, 0x12, 0x03, 0x64, 0x80, 0x87, 0x66, 0x55, 0x85, 0x18,
+ 0x36, 0x25, 0x51, 0x65, 0x55, 0x42, 0x00, 0x58, 0x87, 0x17, 0x51, 0x60,
+ 0x27, 0x17, 0x71, 0x12, 0x46, 0x11, 0x56, 0x35, 0x71, 0x18, 0x01, 0x27,
+ 0x36, 0x01, 0x12, 0x78, 0x06, 0x46, 0x80, 0x05, 0x02, 0x11, 0x61, 0x76,
+ 0x81, 0x10, 0x48, 0x15, 0x65, 0x56, 0x43, 0x13, 0x80, 0x40, 0x86, 0x15,
+ 0x62, 0x24, 0x77, 0x52, 0x53, 0x36, 0x50, 0x85, 0x72, 0x66, 0x76, 0x70,
+ 0x25, 0x42, 0x12, 0x87, 0x77, 0x01, 0x52, 0x17, 0x65, 0x63, 0x84, 0x22,
+ 0x14, 0x66, 0x16, 0x70, 0x18, 0x54, 0x17, 0x12, 0x56, 0x07, 0x75, 0x65,
+ 0x33, 0x05, 0x35, 0x67, 0x88, 0x35, 0x20, 0x67, 0x34, 0x65, 0x43, 0x72,
+ 0x73, 0x38, 0x42, 0x64, 0x71, 0x42, 0x52, 0x81, 0x41, 0x50, 0x38, 0x53,
+ 0x32, 0x02, 0x65, 0x61, 0x28, 0x85, 0x16, 0x71, 0x30, 0x01, 0x17, 0x75,
+ 0x55, 0x13, 0x45, 0x23, 0x07, 0x35, 0x13, 0x15, 0x37, 0x08, 0x54, 0x30,
+ 0x18, 0x72, 0x37, 0x21, 0x57, 0x58, 0x73, 0x03, 0x15, 0x60, 0x81, 0x11,
+ 0x03, 0x21, 0x11, 0x22, 0x58, 0x73, 0x64, 0x04, 0x43, 0x82, 0x64, 0x70,
+ 0x52, 0x44, 0x30, 0x87, 0x45, 0x33, 0x05, 0x57, 0x35, 0x84, 0x55, 0x16,
+ 0x04, 0x73, 0x00, 0x45, 0x31, 0x65, 0x04, 0x42, 0x42, 0x77, 0x24, 0x30,
+ 0x37, 0x53, 0x27, 0x36, 0x43, 0x54, 0x55, 0x46, 0x15, 0x12, 0x41, 0x08,
+ 0x15, 0x47, 0x41, 0x24, 0x33, 0x07, 0x82, 0x43, 0x31, 0x13, 0x43, 0x70,
+ 0x37, 0x23, 0x51, 0x85, 0x81, 0x38, 0x85, 0x73, 0x23, 0x48, 0x83, 0x00,
+ 0x25, 0x24, 0x13, 0x82, 0x03, 0x11, 0x88, 0x18, 0x10, 0x67, 0x12, 0x72,
+ 0x62, 0x75, 0x00, 0x51, 0x64, 0x48, 0x58, 0x46, 0x70, 0x34, 0x35, 0x42,
+ 0x31, 0x80, 0x31, 0x60, 0x86, 0x65, 0x26, 0x47, 0x17, 0x43, 0x38, 0x63,
+ 0x73, 0x85, 0x10, 0x27, 0x77, 0x33, 0x11, 0x12, 0x45, 0x23, 0x28, 0x02,
+ 0x70, 0x48, 0x82, 0x61, 0x36, 0x83, 0x36, 0x04, 0x02, 0x76, 0x23, 0x52,
+ 0x05, 0x67, 0x67, 0x85, 0x61, 0x00, 0x74, 0x43, 0x30, 0x01, 0x18, 0x02,
+ 0x64, 0x17, 0x76, 0x21, 0x72, 0x47, 0x04, 0x14, 0x10, 0x05, 0x67, 0x68,
+ 0x42, 0x36, 0x75, 0x52, 0x76, 0x75, 0x02, 0x65, 0x03, 0x88, 0x07, 0x02,
+ 0x36, 0x54, 0x31, 0x35, 0x30, 0x50, 0x02, 0x01, 0x74, 0x63, 0x32, 0x58,
+ 0x67, 0x62, 0x13, 0x76, 0x86, 0x70, 0x04, 0x31, 0x22, 0x42, 0x03, 0x77,
+ 0x78, 0x68, 0x42, 0x62, 0x34, 0x60, 0x75, 0x01, 0x37, 0x58, 0x07, 0x60,
+ 0x61, 0x18, 0x64, 0x36, 0x43, 0x34, 0x31, 0x82, 0x85, 0x44, 0x87, 0x11,
+ 0x80, 0x67, 0x37, 0x57, 0x17, 0x21, 0x67, 0x63, 0x68, 0x62, 0x34, 0x63,
+ 0x14, 0x45, 0x72, 0x74, 0x70, 0x52, 0x12, 0x25, 0x61, 0x58, 0x65, 0x01,
+ 0x26, 0x24, 0x30, 0x41, 0x63, 0x88, 0x51, 0x46, 0x65, 0x06, 0x45, 0x16,
+ 0x83, 0x24, 0x15, 0x67, 0x57, 0x12, 0x50, 0x27, 0x63, 0x17, 0x61, 0x18,
+ 0x13, 0x78, 0x33, 0x53, 0x67, 0x28, 0x64, 0x26, 0x40, 0x52, 0x58, 0x17,
+ 0x84, 0x63, 0x76, 0x70, 0x46, 0x74, 0x43, 0x46, 0x40, 0x53, 0x85, 0x55,
+ 0x86, 0x07, 0x41, 0x63, 0x65, 0x31, 0x23, 0x11, 0x60, 0x76, 0x55, 0x78,
+ 0x30, 0x32, 0x61, 0x41, 0x71, 0x11, 0x80, 0x36, 0x42, 0x63, 0x33, 0x18,
+ 0x26, 0x24, 0x23, 0x67, 0x47, 0x86, 0x48, 0x07, 0x65, 0x63, 0x53, 0x82,
+ 0x32, 0x46, 0x57, 0x70, 0x01, 0x57, 0x65, 0x47, 0x60, 0x15, 0x36, 0x13,
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+ 0xD7, 0xAF, 0xF7, 0x63, 0x01, 0xF1, 0x5E, 0x58, 0x0C, 0x5F, 0x2E, 0x41,
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+ 0xBC, 0xFB, 0xE4, 0x53, 0x33, 0xD0, 0xCF, 0xD6, 0x30, 0x57, 0x46, 0xA2,
+ 0x4B, 0x4B, 0x2A, 0xF2, 0x31, 0x1F, 0x96, 0x41, 0x51, 0xD4, 0xF8, 0x9D,
+ 0x12, 0xD1, 0xD8, 0x8A, 0x61, 0x49, 0x35, 0x1C, 0xB3, 0x29, 0x49, 0x26,
+ 0xA3, 0xB0, 0x50, 0x51, 0xFA, 0x1F, 0x61, 0x3F, 0x48, 0x54, 0xA1, 0x72,
+ 0x7E, 0x3F, 0xC1, 0x95, 0xF4, 0xF5, 0xF9, 0x9D, 0x7A, 0x6F, 0x67, 0x66,
+ 0xA2, 0x50, 0x83, 0x9C, 0x09, 0x0B, 0x4D, 0x81, 0xE7, 0x1C, 0x24, 0x2A,
+ 0x58, 0xDE, 0xBE, 0x5D, 0xDC, 0xA5, 0x56, 0xB9, 0x7D, 0xE9, 0x79, 0x0D,
+ 0xB8, 0x9E, 0xD1, 0x5C, 0xED, 0xCF, 0x7E, 0xBC, 0x6D, 0x44, 0xDC, 0x61,
+ 0x88, 0x1B, 0xE0, 0x60, 0xF9, 0x05, 0xCB, 0xB7, 0x70, 0x25, 0x69, 0x4F,
+ 0xB3, 0x82, 0xA6, 0x6A, 0x28, 0x09, 0xA7, 0x59, 0xAE, 0x66, 0xDE, 0x10,
+ 0x2C, 0xF0, 0x59, 0xE9, 0x33, 0x9C, 0x26, 0x11, 0x2F, 0x76, 0xC5, 0x0B,
+ 0x39, 0xEF, 0x61, 0xAD, 0xF3, 0x93, 0xB9, 0x2B, 0x69, 0xBD, 0x88, 0xF6,
+ 0xAC, 0x5E, 0x7E, 0xED, 0x1F, 0xA1, 0xA8, 0xBA, 0x72, 0x01, 0x69, 0x6D,
+ 0xBE, 0xCC, 0x8F, 0xB9, 0xAF, 0xC1, 0x94, 0x6C, 0x74, 0x4D, 0x92, 0xF3,
+ 0xED, 0x30, 0xF8, 0x83, 0x4C, 0x39, 0x8F, 0x42, 0xC5, 0x37, 0x20, 0x51,
+ 0x0D, 0x16, 0x81, 0x7A, 0x80, 0x74, 0xA2, 0xF1, 0x2D, 0x27, 0xFF, 0x98,
+ 0xCF, 0xCF, 0xFD, 0xFF, 0x7D, 0x94, 0xFF, 0x79, 0x39, 0x93, 0x99, 0x1F,
+ 0xD4, 0x4C, 0x79, 0x9D, 0x8B, 0xAA, 0x5E, 0x0B, 0xCC, 0x78, 0x9D, 0x3F,
+ 0x3E, 0xF4, 0x67, 0x10, 0x4B, 0xDB, 0xF2, 0x09, 0x25, 0x09, 0xE5, 0x30,
+ 0xF9, 0x20, 0xDA, 0x1F, 0x66, 0x3A, 0x5E, 0x58, 0xAE, 0xCA, 0x50, 0xEC,
+ 0x6F, 0x1D, 0xC8, 0x29, 0x86, 0xD3, 0x7E, 0xE6, 0xC1, 0x95, 0xD6, 0x4E,
+ 0x2D, 0x49, 0x60, 0xBE, 0xFB, 0x09, 0xD3, 0xEE, 0xAA, 0xDB, 0xF9, 0x87,
+ 0x33, 0x40, 0xA5, 0xB8, 0x6D, 0x29, 0xDE, 0x38, 0x0D, 0xFC, 0x41, 0xA9,
+ 0x9D, 0x73, 0x50, 0xD9, 0xA5, 0x05, 0x57, 0x06, 0xE3, 0xC2, 0x03, 0x72,
+ 0x45, 0xDF, 0x35, 0xB9, 0xDF, 0x14, 0xB8, 0x10, 0x77, 0x2C, 0x3A, 0x40,
+ 0x88, 0x7C, 0xA0, 0x2C, 0xF5, 0xCD, 0x42, 0x99, 0x3E, 0x36, 0x08, 0x52,
+ 0x21, 0x9A, 0x9A, 0x38, 0x46, 0x47, 0xCE, 0x91, 0x2D, 0x95, 0xDF, 0xF0,
+ 0xE8, 0x07, 0x06, 0xA2, 0x69, 0x62, 0x96, 0xC7, 0x29, 0x02, 0x14, 0xCE,
+ 0xC7, 0x2E, 0xEB, 0x01, 0x6D, 0x34, 0xE0, 0x3F, 0xBF, 0x5E, 0x65, 0xF4,
+ 0x79, 0x5E, 0x71, 0x4B, 0x35, 0xDE, 0x18, 0x3F, 0xEE, 0x6C, 0xC6, 0xC3,
+ 0x5E, 0x34, 0x92, 0x89, 0xCC, 0x8D, 0xBB, 0x37, 0xAE, 0x9F, 0x96, 0x8C,
+ 0xF0, 0xBC, 0x36, 0x54, 0xD3, 0xB8, 0x21, 0x75, 0xB0, 0xC5, 0xAF, 0xFD,
+ 0x9B, 0x1D, 0x42, 0x1B, 0x7D, 0xCE, 0x80, 0x15, 0xAF, 0xD7, 0x75, 0x20,
+ 0xA9, 0x83, 0xE1, 0xC1, 0xE9, 0xEB, 0x07, 0x08, 0x11, 0x8F, 0xA4, 0xBB,
+ 0xEE, 0x07, 0x21, 0x57, 0xE7, 0xCD, 0x8C, 0xE9, 0x38, 0x10, 0x91, 0xD3,
+ 0xF1, 0xD4, 0xFC, 0x39, 0x80, 0xE5, 0xF8, 0xC9, 0x5D, 0x54, 0xF4, 0xE6,
+ 0xBB, 0x7A, 0xF3, 0x68, 0xAF, 0x6B, 0xC9, 0xB3, 0x32, 0xB8, 0x0D, 0x7F,
+ 0x8E, 0x76, 0xC2, 0xE2, 0x03, 0x04, 0x9C, 0x33, 0x80, 0xC5, 0xE0, 0xF5,
+ 0x29, 0x9D, 0xD6, 0xE5, 0x7C, 0xD5, 0x9A, 0xED, 0x1C, 0xCD, 0xC9, 0x98,
+ 0xF2, 0xFA, 0xE7, 0x2C, 0x29, 0xA0, 0xC1, 0xD4, 0x02, 0x5C, 0x34, 0xE5,
+ 0x06, 0xAF, 0x77, 0x76, 0x02, 0x28, 0xDC, 0x3B, 0x8B, 0x68, 0x0A, 0xC8,
+ 0xA2, 0xFA, 0xD7, 0x84, 0xEA, 0x6B, 0x86, 0xEF, 0x34, 0xF1, 0x84, 0x2E,
+ 0x66, 0xF4, 0x6F, 0xB0, 0xF6, 0x8F, 0x01, 0x01, 0x42, 0x5D, 0x16, 0x34,
+ 0x18, 0x25, 0xDD, 0x66, 0x05, 0xDF, 0x63, 0x10, 0xE7, 0xC9, 0x81, 0x1F,
+ 0x4C, 0xB8, 0x1E, 0xC3, 0xC7, 0xAE, 0x7C, 0xC6, 0xF5, 0x28, 0xC7, 0x82,
+ 0xC6, 0xD3, 0x3D, 0x68, 0x83, 0xE8, 0x95, 0xB3, 0xA0, 0x6E, 0x3D, 0x3E,
+ 0xA8, 0x4B, 0x03, 0xE3, 0x60, 0x33, 0x94, 0xB4, 0x4A, 0x1A, 0x3C, 0x28,
+ 0x98, 0x71, 0xA5, 0x92, 0x69, 0xF4, 0xB8, 0x0F, 0x4C, 0x7C, 0xF4, 0x04,
+ 0xA4, 0xB9, 0x9A, 0x52, 0x9A, 0x57, 0x4B, 0xE4, 0x6A, 0xA6, 0xB5, 0x2B,
+ 0x4E, 0x54, 0x4F, 0xB7, 0x02, 0x2C, 0x90, 0x90, 0x4B, 0xE1, 0xC7, 0x67,
+ 0xFB, 0x8D, 0xB7, 0x44, 0xB9, 0xC6, 0x9F, 0xBC, 0x50, 0x3C, 0x23, 0x4F,
+ 0x66, 0x18, 0x79, 0x4F, 0x71, 0xAD, 0x8C, 0x95, 0xE5, 0x08, 0x7F, 0x54,
+ 0xB4, 0xF8, 0x21, 0x54, 0x45, 0x4C, 0x0E, 0x73, 0x86, 0xF2, 0x1E, 0xEC,
+ 0xC0, 0xDD, 0xBA, 0xF4, 0x54, 0x38, 0x2A, 0x97, 0x3B, 0xE4, 0xEC, 0xEF,
+ 0xE8, 0x46, 0xE0, 0xC2, 0x1B, 0x60, 0xB5, 0x64, 0x48, 0xE6, 0xE5, 0xED,
+ 0xDB, 0xAE, 0x08, 0x41, 0x32, 0xA1, 0x39, 0x7F, 0x16, 0x31, 0x40, 0x47,
+ 0x14, 0x4A, 0xCA, 0xDD, 0x6C, 0xC3, 0x42, 0x44, 0x7D, 0xB6, 0xA6, 0x53,
+ 0x65, 0x74, 0x7A, 0x63, 0xC4, 0x04, 0xAE, 0x62, 0x3B, 0xC3, 0xEF, 0x17,
+ 0x03, 0xC1, 0x8B, 0x14, 0xFD, 0xA1, 0x78, 0xAB, 0x73, 0x92, 0xE9, 0xEB,
+ 0x6D, 0x2C, 0x90, 0x45, 0xEE, 0xFC, 0x8A, 0x73, 0x68, 0xDB, 0xCB, 0xA7,
+ 0xF0, 0x9C, 0xC8, 0x8D, 0x6E, 0xA5, 0x45, 0x05, 0xBF, 0xB8, 0x23, 0x73,
+ 0x81, 0x9F, 0xB9, 0x90, 0xF0, 0xF6, 0x4C, 0x6F, 0xBE, 0x42, 0x1E, 0x35,
+ 0xCE, 0xBD, 0x9B, 0x79, 0xCE, 0x77, 0xBD, 0xF3, 0xC8, 0x94, 0x6C, 0x58,
+ 0xC6, 0x07, 0x17, 0x57, 0x28, 0x4E, 0x5B, 0x53, 0xB5, 0x6D, 0xFE, 0xDB,
+ 0x2E, 0xEF, 0x92, 0x8D, 0xC9, 0xAE, 0x02, 0xBA, 0x21, 0xA2, 0xB5, 0xE2,
+ 0x84, 0xE2, 0x85, 0xC9, 0xA6, 0xCB, 0x05, 0x71, 0x0E, 0x26, 0x34, 0xCB,
+ 0x36, 0x27, 0xC5, 0x2E, 0x57, 0x7F, 0x7E, 0x5C, 0xA7, 0x47, 0x56, 0x07,
+ 0xA7, 0xD2, 0xCC, 0xF1, 0x45, 0x2F, 0x9B, 0xA7, 0x03, 0xD3, 0x22, 0xF6,
+ 0x9A, 0x47, 0xF1, 0x6B, 0xD9, 0x85, 0x1C, 0x75, 0x28, 0xD8, 0x9B, 0x59,
+ 0xC0, 0x3B, 0x42, 0x6A, 0xEB, 0xB3, 0xB3, 0x72, 0x32, 0x8C, 0xA9, 0x10,
+ 0x2F, 0x62, 0x4E, 0x90, 0x1D, 0xC8, 0xA3, 0x15, 0x52, 0x4B, 0x94, 0x17,
+ 0x06, 0xEC, 0xFE, 0x0A, 0xA8, 0xAE, 0xB0, 0xAF, 0x8E, 0xC3, 0x3D, 0x2E,
+ 0x1C, 0xA2, 0x03, 0xB4, 0x89, 0xAE, 0x23, 0xC0, 0x3D, 0x88, 0x0B, 0x83,
+ 0xD7, 0x38, 0xCC, 0x27, 0x7E, 0xB6, 0xFF, 0x1C, 0x7D, 0xD3, 0x18, 0x86,
+ 0xC6, 0x39, 0xC6, 0xC6, 0x58, 0x39, 0x6F, 0x60, 0x92, 0x0D, 0x8A, 0x0A,
+ 0x4E, 0x58, 0x27, 0x8D, 0x63, 0xE5, 0xB3, 0x93, 0x29, 0x5F, 0xE8, 0x88,
+ 0x7E, 0x8F, 0x9F, 0x6A, 0x64, 0xC1, 0x0C, 0xA2, 0x41, 0xF6, 0x99, 0xB9,
+ 0x9D, 0x72, 0xD1, 0x37, 0x22, 0xE4, 0x2D, 0x46, 0x15, 0xD9, 0xF3, 0xD0,
+ 0x54, 0x5E, 0x32, 0x0D, 0x38, 0xEF, 0x80, 0x90, 0x76, 0xF4, 0x21, 0x64,
+ 0x28, 0xC2, 0x9D, 0x13, 0x0F, 0x2F, 0x83, 0x05, 0x2B, 0x9D, 0x0B, 0xA4,
+ 0xA8, 0xA1, 0x87, 0x2A, 0x24, 0x2B, 0xDC, 0x59, 0x72, 0x22, 0x81, 0xDD,
+ 0xEC, 0xE5, 0x40, 0x7C, 0xBB, 0xDD, 0xBD, 0xB0, 0xB8, 0xC0, 0x4E, 0x93,
+ 0x85, 0xAD, 0x96, 0x60, 0xD2, 0x52, 0xDD, 0x28, 0xAA, 0x88, 0x11, 0x66,
+ 0x69, 0x42, 0x07, 0xBB, 0x04, 0xF9, 0xA2, 0x4F, 0xA9, 0x22, 0x16, 0xAC,
+ 0xAF, 0x26, 0x4C, 0x9F, 0x1C, 0xC2, 0x00, 0xA5, 0xE2, 0xCB, 0xD2, 0x69,
+ 0x4C, 0x91, 0x23, 0x8A, 0x89, 0x72, 0x49, 0x60, 0x97, 0xB3, 0xBD, 0x37,
+ 0x85, 0x34, 0x5E, 0xE7, 0x17, 0x1A, 0x9E, 0xB9, 0x66, 0x19, 0x72, 0x2C,
+ 0x64, 0x57, 0x1D, 0xE6, 0x32, 0x7C, 0xD0, 0x34, 0x5B, 0x78, 0x88, 0x71,
+ 0xD7, 0xD5, 0xD0, 0xD8, 0x4E, 0xF2, 0xA4, 0x7D, 0xDE, 0x66, 0x80, 0xB7,
+ 0x74, 0x3A, 0xD6, 0x1B, 0x16, 0x4E, 0x55, 0x8B, 0x67, 0x2E, 0x4C, 0xC4,
+ 0xB4, 0x6D, 0x6E, 0x6C, 0x23, 0x6C, 0x21, 0x33, 0x96, 0x5C, 0x8B, 0x3C,
+ 0x7D, 0x0F, 0x24, 0x0A, 0xB0, 0xED, 0xEC, 0x78, 0xE8, 0xEA, 0xB4, 0xC8,
+ 0x00, 0x40, 0xA0, 0x37, 0xF0, 0x08, 0x0F, 0xA3, 0xB1, 0x5A, 0xCC, 0x3E,
+ 0xEA, 0x34, 0x20, 0x80, 0x65, 0xEB, 0x6E, 0x6E, 0x21, 0xDA, 0x65, 0x60,
+ 0x14, 0x54, 0xE6, 0xDB, 0x03, 0x7C, 0x08, 0xB0, 0x51, 0xA1, 0x94, 0x2D,
+ 0xAB, 0x90, 0xC9, 0x2B, 0x0B, 0xDC, 0x8C, 0x57, 0x2C, 0x52, 0xF0, 0xAE,
+ 0xF8, 0x4B, 0x85, 0xF0, 0x44, 0x4A, 0x6C, 0x15, 0xE8, 0x48, 0x01, 0x44,
+ 0x8D, 0xE8, 0x14, 0x78, 0x04, 0xF7, 0x96, 0xA1, 0xA0, 0x53, 0x41, 0xE7,
+ 0x5D, 0xF0, 0x15, 0xFE, 0xEA, 0x7E, 0x19, 0x1C, 0x46, 0x1D, 0x3D, 0x3D,
+ 0x7B, 0x2D, 0x74, 0xA9, 0xC4, 0xC7, 0xE1, 0x8E, 0xAF, 0xE0, 0x96, 0x6C,
+ 0x26, 0x73, 0x1F, 0x0A, 0x96, 0x04, 0x61, 0xDE, 0x03, 0x87, 0xA9, 0x17,
+ 0xA6, 0xBB, 0xD6, 0x45, 0xC4, 0x66, 0x80, 0x30, 0x64, 0x2D, 0x70, 0xDE,
+ 0x30, 0xD9, 0x95, 0x45, 0x56, 0xCD, 0xAC, 0xDE, 0x00, 0xF8, 0x22, 0x19,
+ 0xE7, 0xA3, 0xEE, 0xCC, 0x83, 0x54, 0xFC, 0x5A, 0x43, 0x88, 0x19, 0x5C,
+ 0xE5, 0x68, 0x01, 0x6C, 0x7C, 0x63, 0x66, 0x15, 0x59, 0xEF, 0x65, 0xE2,
+ 0xFF, 0x09, 0xF1, 0xC9, 0x8A, 0x66, 0x68, 0xC2, 0x3A, 0xE4, 0x86, 0x3B,
+ 0x04, 0x28, 0x7A, 0x3B, 0xB6, 0x21, 0x0B, 0x3F, 0x56, 0x89, 0xA3, 0xE7,
+ 0x97, 0x85, 0x17, 0xB9, 0x5B, 0x0D, 0x06, 0xA8, 0x31, 0xF2, 0x8A, 0x3F,
+ 0xF5, 0x5B, 0x60, 0x53, 0xE3, 0x85, 0x35, 0xB2, 0xAA, 0x97, 0xFD, 0x66,
+ 0xB4, 0x29, 0x80, 0xCD, 0xAF, 0x9E, 0x5D, 0xB6, 0xF1, 0x21, 0x2B, 0xC2,
+ 0x3C, 0xC7, 0x40, 0xBB, 0x7D, 0xDF, 0x8C, 0xD4, 0x03, 0x91, 0xC0, 0x19,
+ 0x0F, 0x62, 0xA0, 0xA2, 0xA2, 0x87, 0xDC, 0xC2, 0xAB, 0x8F, 0xA6, 0x5C,
+ 0x71, 0x67, 0x56, 0x19, 0xC4, 0x51, 0xEC, 0x07, 0xF3, 0xD6, 0x7E, 0xE8,
+ 0x1A, 0x63, 0x70, 0xEA, 0x21, 0x44, 0xD8, 0x2C, 0xE6, 0x3C, 0xAE, 0xB4,
+ 0xFD, 0x76, 0xE6, 0xFE, 0x49, 0x79, 0xFB, 0xC1, 0x49, 0xBC, 0x54, 0xA9,
+ 0x23, 0x6D, 0x4C, 0xF2, 0x3C, 0xD5, 0xC0, 0x9E, 0x83, 0xDE, 0x5B, 0xD8,
+ 0x88, 0xF2, 0xEB, 0x03, 0x00, 0x8B, 0xB9, 0xFB, 0xA0, 0xCD, 0x5C, 0xB7,
+ 0x9D, 0xDB, 0x62, 0xE2, 0xF9, 0xF8, 0xF2, 0xE1, 0x1B, 0x22, 0x10, 0xDD,
+ 0xD1, 0x15, 0x90, 0xE2, 0x12, 0x14, 0x01, 0x50, 0x85, 0xA3, 0xCD, 0x8D,
+ 0xD1, 0x66, 0x5A, 0xD8, 0x1D, 0x28, 0xD5, 0x52, 0xB2, 0x14, 0xD9, 0x15,
+ 0x50, 0xFF, 0xB3, 0x01, 0x01, 0x02, 0x09, 0x8E, 0x6F, 0x76, 0x49, 0xA5,
+ 0xE0, 0x60, 0x57, 0x99, 0x8E, 0x25, 0xB4, 0xF7, 0x89, 0xB2, 0xFF, 0x35,
+ 0x62, 0x99, 0xC5, 0x89, 0xB1, 0xCE, 0x03, 0xD4, 0xAA, 0xDD, 0xC9, 0x17,
+ 0x7B, 0x47, 0x97, 0x4F, 0xBE, 0x20, 0x55, 0x16, 0xB3, 0xA9, 0xE8, 0x8F,
+ 0x0B, 0x39, 0x55, 0xF1, 0x33, 0xC2, 0x9C, 0x1E, 0xDB, 0x94, 0x96, 0x9E,
+ 0x89, 0xB2, 0xDA, 0x7B, 0x64, 0xEE, 0x42, 0x3A, 0x51, 0x67, 0x25, 0x21,
+ 0xCB, 0x4E, 0x10, 0x08, 0xD0, 0xAF, 0xCF, 0x68, 0xD6, 0x17, 0x2A, 0x17,
+ 0x4F, 0x0E, 0xCA, 0xBB, 0x5F, 0xB7, 0x64, 0x84, 0x44, 0x03, 0x2E, 0x64,
+ 0x43, 0xCF, 0x9C, 0x7F, 0xA4, 0xED, 0x4E, 0x17, 0x28, 0x42, 0x7C, 0x28,
+ 0x04, 0x69, 0x9A, 0x14, 0x3E, 0xDF, 0x11, 0xCD, 0x6C, 0xF9, 0xF5, 0xAF,
+ 0xF6, 0x34, 0x1A, 0x69, 0xDE, 0x7B, 0x77, 0x10, 0xC2, 0x23, 0xC7, 0x99,
+ 0x86, 0x12, 0x42, 0xC0, 0xD6, 0x88, 0x41, 0xF3, 0x6D, 0x92, 0x00, 0x12,
+ 0x23, 0x81, 0xEB, 0xF9, 0x4D, 0x22, 0x25, 0x8B, 0x38, 0x37, 0x5C, 0x0D,
+ 0x25, 0xDC, 0x1E, 0x3E, 0xEE, 0x00, 0xE3, 0x12, 0x43, 0x3C, 0xF8, 0x03,
+ 0x2F, 0x46, 0xEA, 0x0A, 0x0B, 0xCA, 0x36, 0xC6, 0x79, 0xF5, 0xFF, 0xC8,
+ 0x28, 0x98, 0x37, 0x2D, 0x63, 0x1F, 0xA7, 0x36, 0x85, 0x95, 0xED, 0x7C,
+ 0xB6, 0x57, 0x1E, 0x8C, 0x00, 0xC1, 0x6A, 0xFA, 0x4F, 0x47, 0x91, 0xE6,
+ 0x38, 0x13, 0x14, 0x1D, 0x80, 0x01, 0x11, 0xC1, 0xED, 0xCE, 0xFD, 0x88,
+ 0x72, 0xBE, 0xA4, 0x1B, 0x2D, 0xD1, 0x59, 0x67, 0x6F, 0x23, 0xBF, 0x85,
+ 0xC7, 0xDE, 0x07, 0xA3, 0x0D, 0x24, 0x59, 0xEB, 0x16, 0xB2, 0x4B, 0xDA,
+ 0xD3, 0x22, 0xC1, 0x77, 0xB1, 0x74, 0xBA, 0x83, 0xEA, 0xEB, 0x35, 0x2B,
+ 0x2C, 0x0D, 0x81, 0x40, 0xB3, 0x3D, 0x50, 0xB0, 0xC9, 0xF2, 0xDD, 0xD3,
+ 0x9F, 0x30, 0x5F, 0x9A, 0xB4, 0x56, 0x5D, 0x3A, 0xDF, 0x35, 0x55, 0x0F,
+ 0x02, 0x3F, 0x34, 0x69, 0x00, 0xC5, 0x99, 0x03, 0xCB, 0x97, 0x25, 0x79,
+ 0x39, 0x58, 0x40, 0xD6, 0xA8, 0x91, 0x69, 0xDA, 0x96, 0xD7, 0x01, 0x2A,
+ 0x82, 0x16, 0x32, 0xE6, 0x68, 0x21, 0x59, 0x1F, 0xD3, 0x73, 0x1E, 0xB0,
+ 0x68, 0xCB, 0xAF, 0x5F, 0x18, 0x58, 0x9E, 0x75, 0x41, 0xCB, 0x4A, 0xEB,
+ 0x0C, 0x48, 0x59, 0x02, 0x0D, 0x0A, 0x3B, 0x99, 0x88, 0x7D, 0x12, 0xE7,
+ 0x8F, 0x69, 0x00, 0x73, 0xD2, 0x9A, 0x24, 0x26, 0x82, 0xD4, 0x67, 0x7E,
+ 0x2F, 0x90, 0x4D, 0xFD, 0x72, 0x66, 0xE0, 0x51, 0x4F, 0x6E, 0x46, 0x0A,
+ 0xD2, 0xF1, 0xFC, 0x5C, 0xE8, 0x75, 0xD1, 0x06, 0x43, 0x2C, 0x5F, 0x91,
+ 0xD6, 0x24, 0x6D, 0x80, 0xAE, 0x5C, 0x7D, 0x8C, 0x4E, 0x4E, 0xE1, 0x22,
+ 0xF5, 0xFC, 0x58, 0x38, 0x03, 0x91, 0xED, 0x53, 0x6C, 0xA4, 0xF0, 0x73,
+ 0xE2, 0xB5, 0x5F, 0x5E, 0xD1, 0x97, 0x51, 0x47, 0x9C, 0xB3, 0xA7, 0x1E,
+ 0x72, 0xE8, 0xF3, 0x30, 0xE0, 0x86, 0x98, 0x11, 0x69, 0x14, 0x0A, 0x8A,
+ 0xD0, 0x69, 0xA4, 0x9B, 0x1F, 0xD4, 0xEB, 0x95, 0x0F, 0x9F, 0xB9, 0x08,
+ 0x4D, 0x1E, 0x70, 0x2B, 0x95, 0x7D, 0x08, 0x17, 0x09, 0xFC, 0x51, 0x0D,
+ 0x31, 0xCE, 0x2E, 0xB1, 0xE4, 0x2A, 0xB4, 0x74, 0xD7, 0x3A, 0x79, 0x32,
+ 0x31, 0xEC, 0x27, 0x4E, 0xE3, 0x99, 0x25, 0x7D, 0xEC, 0x4B, 0x9D, 0x07,
+ 0x04, 0x26, 0x5A, 0x77, 0xE7, 0x45, 0xF4, 0xCD, 0x8F, 0x9E, 0x49, 0x09,
+ 0xFB, 0x92, 0x99, 0x30, 0x4C, 0xE6, 0xAC, 0x7F, 0xA9, 0x5C, 0x3F, 0x47,
+ 0xB2, 0x10, 0xDA, 0x38, 0x8E, 0xE7, 0x48, 0xAB, 0xD4, 0x1C, 0xDE, 0xB3,
+ 0xCB, 0xB1, 0x87, 0xA4, 0x0B, 0xB3, 0xC3, 0xF4, 0x15, 0x0A, 0xDA, 0x34,
+ 0x72, 0xDD, 0xB3, 0x98, 0xDF, 0x8D, 0x8D, 0x58, 0x65, 0xEF, 0x27, 0xF5,
+ 0x4C, 0xBD, 0x41, 0x64, 0xDB, 0x04, 0x65, 0xDF, 0x74, 0x43, 0xE1, 0xD7,
+ 0x78, 0x2A, 0x24, 0x03, 0x38, 0x7E, 0xF0, 0x11, 0x8E, 0x8E, 0xB1, 0x02,
+ 0x83, 0xA3, 0x90, 0x72, 0xC3, 0x6A, 0x46, 0xE7, 0x24, 0x16, 0x5F, 0x49,
+ 0xED, 0x17, 0x0A, 0x8F, 0xCC, 0x00, 0xFA, 0xDF, 0x03, 0x7E, 0xBF, 0xC6,
+ 0x52, 0x81, 0x06, 0x97, 0xCD, 0x71, 0x08, 0xA5, 0x69, 0x89, 0x49, 0x1B,
+ 0xA2, 0x23, 0x2B, 0xED, 0x54, 0xBA, 0x16, 0x7D, 0xB9, 0xD5, 0x26, 0xFA,
+ 0xD3, 0x48, 0xB7, 0x78, 0x7A, 0xE7, 0x15, 0x57, 0xC5, 0x9B, 0x38, 0xD1,
+ 0x05, 0x4C, 0xBE, 0x9B, 0xCB, 0x45, 0xE1, 0x7B, 0xB1, 0x46, 0xAD, 0xFC,
+ 0x04, 0xF6, 0x81, 0x63, 0x34, 0xD3, 0xD8, 0x15, 0xBF, 0x73, 0xFB, 0xEC,
+ 0xF1, 0xC9, 0xD4, 0x37, 0xD3, 0xA4, 0x7A, 0x78, 0x62, 0xC2, 0x86, 0x88,
+ 0x4B, 0x63, 0x8D, 0xD7, 0xFB, 0x64, 0xBE, 0x01, 0xB7, 0x98, 0x1D, 0x7C,
+ 0xC8, 0x2A, 0x90, 0x93, 0x8E, 0xBD, 0xD9, 0x66, 0x4D, 0xEB, 0xAF, 0x0E,
+ 0x03, 0xA5, 0x95, 0x36, 0x8B, 0x89, 0x33, 0x8A, 0xB0, 0x76, 0xBD, 0x22,
+ 0xAD, 0x57, 0x9D, 0x04, 0xF1, 0xC7, 0xEA, 0x07, 0x5D, 0x22, 0x0F, 0x8C,
+ 0xCD, 0xC0, 0xB9, 0xE3, 0x72, 0xF5, 0x19, 0x4A, 0xFE, 0x83, 0x4D, 0x28};
+
+ CBS cbs;
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ CBS_init(&cbs, encoded_private_key, sizeof(encoded_private_key));
+ ASSERT_TRUE(DILITHIUM_parse_private_key(priv.get(), &cbs));
+
+ static const uint8_t message[] = {
+ 0x4D, 0x3C, 0x4D, 0x95, 0x2A, 0x1D, 0xAC, 0x15, 0x17, 0x36, 0xAE, 0x9D,
+ 0x0A, 0xD8, 0x1C, 0xD3, 0x7F, 0x7C, 0x49, 0x25, 0x39, 0xFC, 0xC9, 0x16,
+ 0xA4, 0xB2, 0x25, 0x13, 0x09, 0xE0, 0x6C, 0xED, 0x54, 0xD7, 0x14, 0x58,
+ 0x68, 0xD1, 0x45, 0xBC, 0x8D, 0x16, 0xF8, 0xB3, 0x64, 0xE5, 0xD6, 0x02,
+ 0x6E, 0x11, 0x3B, 0xEC, 0x48, 0x24, 0xF6, 0xBF, 0xAE, 0x3C, 0x9F, 0x6C,
+ 0x8B, 0x88, 0x8E, 0xC6, 0xB8, 0x25, 0x4C, 0xE5, 0x9E, 0x9E, 0x8E, 0x15,
+ 0x8E, 0xB0, 0x40, 0x77, 0x84, 0x12, 0x43, 0xEE, 0x3A, 0x89, 0xD2, 0x5C,
+ 0x0B, 0x30, 0xB4, 0xA6, 0x4B, 0x72, 0x36, 0x97, 0x33, 0x0A, 0xA8, 0x76,
+ 0x63, 0xB2, 0x0E, 0xA4, 0x51, 0x31, 0x89, 0x55, 0x84, 0x66, 0xD2, 0x64,
+ 0xC7, 0x90, 0x88, 0x41, 0x5E, 0xFA, 0x09, 0xDE, 0x9B, 0x64, 0xAB, 0x01,
+ 0xB6, 0x40, 0xB2, 0x88, 0xD1, 0xD5, 0x56, 0x2E, 0xD7, 0x44, 0xE8, 0x0C,
+ 0xAF, 0x0B, 0x6E, 0x2C, 0x29, 0xFF, 0xA1, 0xC3, 0x21, 0x12, 0x9E, 0xBC,
+ 0x70, 0xCA, 0xA7, 0x3D, 0xCA, 0x7D, 0xCE, 0x89, 0x95, 0x71, 0x26, 0x0B,
+ 0x2E, 0x7D, 0xA1, 0xB4, 0x7C, 0xEC, 0x5B, 0xB0, 0x0F, 0xD6, 0x6A, 0xF8,
+ 0xB8, 0x9B, 0xB8, 0x43, 0x92, 0x89, 0x7B, 0xDD, 0x1A, 0x5E, 0xC7, 0x18,
+ 0x66, 0x70, 0xDB, 0x81, 0x60, 0x4E, 0x0B, 0x94, 0x9B, 0x5A, 0xB1, 0xD1,
+ 0x95, 0x22, 0xA3, 0xF0, 0x82, 0x8D, 0x0E, 0x77, 0xB3, 0x00, 0xA6, 0x3E,
+ 0xDC, 0xB7, 0x4C, 0x48, 0xF9, 0xA0, 0x1C, 0xA9, 0x18, 0x16, 0xFB, 0xEE,
+ 0x01, 0x1A, 0x5B, 0x01, 0x45, 0xC6, 0xA0, 0xB4, 0xEF, 0xD5, 0xA3, 0x00,
+ 0x8A, 0x91, 0xE0, 0xB1, 0xAC, 0x96, 0xDD, 0x8C, 0xB9, 0x41, 0x0D, 0x56,
+ 0xA9, 0x52, 0xE7, 0x4B, 0x7F, 0xB6, 0x84, 0xA0, 0xB1, 0x66, 0xE5, 0xF0,
+ 0xDF, 0x9A, 0xD1, 0x00, 0xEE, 0x1C, 0x9E, 0x3B, 0x7B, 0x85, 0x1B, 0x4C,
+ 0xBF, 0x33, 0x7A, 0x33, 0x28, 0xDB, 0x13, 0x97, 0x74, 0x51, 0xE9, 0x92,
+ 0xC4, 0xA0, 0xB4, 0x54, 0xBA, 0xC5, 0xE3, 0xA2, 0xD0, 0xE6, 0x4D, 0x10,
+ 0x6D, 0xC4, 0x7C, 0x21, 0x6E, 0x0C, 0x0A, 0xC1, 0x1B, 0x0F, 0x7C, 0x48,
+ 0x58, 0x9E, 0x57, 0x30, 0x51, 0x13, 0x3D, 0x01, 0xF2, 0x95, 0x79, 0xC7,
+ 0xE6, 0x59, 0xF8, 0xFB, 0x8E, 0x65, 0x39, 0xB0, 0xF6, 0x18, 0xD0, 0x53,
+ 0xF4, 0x32, 0x3A, 0xD0, 0x23, 0x7A, 0x58, 0x94, 0x9F, 0x68, 0x94, 0x58,
+ 0xAC, 0xC1, 0x09, 0xBE, 0xB7, 0xC8, 0x19, 0x52, 0xA8, 0x79, 0xA1, 0x0B,
+ 0xF8, 0xBC, 0x01, 0xCE, 0x05, 0x7E, 0x93, 0x6B, 0x62, 0x01, 0x7E, 0x22,
+ 0x6D, 0xD6, 0x6A, 0xB2, 0x47, 0x08, 0x52, 0xC0, 0x00, 0xA6, 0x18, 0xB9,
+ 0xB1, 0x30, 0x05, 0x0F, 0x6B, 0x04, 0x77, 0x46, 0xD0, 0x68, 0xFE, 0x7D,
+ 0x3C, 0xC1, 0x27, 0x7E, 0x4F, 0xF4, 0x40, 0x0F, 0x37, 0x2D, 0x50, 0xA8,
+ 0x5F, 0x46, 0x9B, 0x4C, 0x7A, 0x35, 0xAA, 0x7F, 0xE8, 0x8D, 0xD9, 0x23,
+ 0xAC, 0xEF, 0x5F, 0xFF, 0x47, 0xA9, 0x5F, 0x97, 0x1E, 0xFE, 0xA6, 0xB6,
+ 0x5D, 0x33, 0xE6, 0x5F, 0x20, 0x17, 0x3C, 0x5B, 0xA5, 0xA3, 0x20, 0xDD,
+ 0x16, 0xCA, 0xAB, 0x59, 0xAA, 0x7A, 0x7B, 0xB9, 0x99, 0x56, 0xEB, 0x5E,
+ 0xD5, 0x4E, 0xB9, 0x3E, 0x89, 0xC8, 0x87, 0xA3, 0x0D, 0x6D, 0x38, 0x43,
+ 0x45, 0xE2, 0x12, 0x91, 0xB8, 0xE9, 0xC6, 0xCD, 0xCB, 0xE2, 0x67, 0x1F,
+ 0x81, 0x0A, 0x05, 0x8B, 0x85, 0x82, 0x20, 0x14, 0x6A, 0x21, 0x61, 0xB7,
+ 0x41, 0x2C, 0xE2, 0xDB, 0x81, 0x7C, 0xC8, 0xC9, 0x95, 0x28, 0x19, 0x5F,
+ 0x56, 0x7A, 0x92, 0xE1, 0x98, 0x33, 0x0A, 0xAA, 0x41, 0x8A, 0x5F, 0xAB,
+ 0x75, 0x4E, 0x27, 0x22, 0x1A, 0x21, 0x65, 0xEC, 0x4D, 0x50, 0xB3, 0x91,
+ 0xBB, 0x8A, 0xB2, 0xBE, 0xCC, 0xAA, 0x44, 0x9C, 0xA1, 0xD4, 0xD3, 0xD5,
+ 0xC1, 0x7E, 0x28, 0x57, 0x30, 0x48, 0x45, 0x2E, 0xE4, 0x12, 0x06, 0x93,
+ 0x50, 0x55, 0x15, 0xCF, 0x8D, 0x1E, 0x2F, 0x89, 0x84, 0xD3, 0x63, 0x46,
+ 0x4D, 0xB7, 0x86, 0xE9, 0xB8, 0xB7, 0xBD, 0xED, 0xFA, 0x23, 0x01, 0xA2,
+ 0x1F, 0x3C, 0x46, 0x9F, 0x01, 0x3E, 0x27, 0x74, 0x24, 0x05, 0xCF, 0xD0,
+ 0xD1, 0x5E, 0x70, 0xBE, 0x05, 0x60, 0xE8, 0xB1, 0x8C, 0x82, 0x32, 0x78,
+ 0x61, 0xA8, 0xDF, 0x64, 0x20, 0x0A, 0x51, 0xE6, 0x9D, 0x27, 0x91, 0xD4,
+ 0x1E, 0x1E, 0x12, 0xBF, 0x37, 0x16, 0x64, 0x27, 0x0A, 0xFB, 0xBE, 0x1C,
+ 0x84, 0xFF, 0x19, 0xD1, 0x1D, 0x4C, 0x23, 0x3E, 0xCD, 0xB8, 0x03, 0x3B,
+ 0xC7, 0x9B, 0xC7, 0x96, 0x7C, 0x41, 0x0C, 0x13, 0xE8, 0xE3, 0xF9, 0x34,
+ 0x0F, 0x84, 0x85, 0x10, 0x76, 0x0D, 0xAB, 0xCC, 0xAB, 0x6E, 0xF7, 0xBB,
+ 0x87, 0x39, 0x8B, 0x14, 0x21, 0xE5, 0x80, 0x4F, 0x6D, 0x41, 0xAB, 0xC0,
+ 0x9E, 0x65, 0x42, 0xD7, 0x2B, 0x87, 0x11, 0x5F, 0x12, 0x81, 0x45, 0x0C,
+ 0x66, 0xAF, 0x3B, 0xF4, 0xFD, 0xC2, 0x1C, 0xB9, 0xB8, 0xC2, 0x7D, 0x0F,
+ 0xC6, 0xDD, 0xFA, 0x73, 0x73, 0x2A, 0x87, 0x7C, 0xB7, 0xD7, 0xC0, 0x9B,
+ 0x8E, 0x9F, 0x46, 0x03, 0xD9, 0x86, 0x5E, 0x4A, 0xF9, 0x1C, 0x58, 0xE9,
+ 0xEF, 0x6F, 0xD9, 0xA3, 0x2C, 0x91, 0xEE, 0xAA, 0xEF, 0x17, 0x0B, 0xF4,
+ 0xF4, 0x4B, 0xF5, 0x86, 0xD7, 0x89, 0xEF, 0x45, 0x71, 0xDE, 0xBE, 0x6F,
+ 0xFF, 0x0C, 0x43, 0xE8, 0x42, 0x61, 0x7F, 0xA5, 0x0F, 0xA6, 0xEA, 0xC8,
+ 0xC7, 0xF7, 0x0E, 0xB6, 0x80, 0xBE, 0x71, 0x76, 0x88, 0x18, 0x8A, 0x43,
+ 0x04, 0x84, 0xF3, 0x38, 0x8F, 0x62, 0x19, 0xA7, 0x0E, 0xA3, 0x8B, 0xF3,
+ 0xC6, 0xDB, 0xBC, 0x7F, 0xF3, 0xA7, 0x49, 0xD8, 0xC8, 0xE5, 0x1A, 0x13,
+ 0x65, 0xAE, 0x37, 0x29, 0x88, 0xD2, 0x48, 0xF9, 0xFC, 0x0F, 0x2B, 0x67,
+ 0xE8, 0x96, 0xCB, 0xC8, 0x6D, 0x2A, 0xED, 0x35, 0xF7, 0xAD, 0x8D, 0x4E,
+ 0x93, 0xC2, 0x1D, 0xA0, 0x9E, 0x02, 0x04, 0xC7, 0xDB, 0x92, 0xFA, 0xFA,
+ 0x71, 0x19, 0xA6, 0x3B, 0xD0, 0xCC, 0x00, 0xA0, 0x29, 0xCE, 0x7D, 0xB9,
+ 0x3D, 0xF3, 0x4C, 0x33, 0xEC, 0xF6, 0x73, 0xD4, 0x8C, 0xE3, 0xF4, 0x09,
+ 0x48, 0xDE, 0x86, 0xCA, 0x54, 0x67, 0xCC, 0x15, 0x99, 0x60, 0xB3, 0x29,
+ 0xF5, 0x60, 0xB2, 0x0E, 0x5C, 0x8A, 0xC3, 0x7A, 0xC4, 0xC8, 0x96, 0x0B,
+ 0x49, 0xB4, 0x55, 0x07, 0x54, 0x89, 0xE7, 0x21, 0x7D, 0x6B, 0xC5, 0x3A,
+ 0xEE, 0x7C, 0x19, 0xB3, 0xFD, 0xE9, 0xFF, 0xF6, 0x67, 0xEA, 0xE8, 0x9A,
+ 0xA6, 0xCE, 0x8C, 0x41, 0x5E, 0x80, 0x7B, 0x34, 0x8A, 0x14, 0x59, 0x83,
+ 0x29, 0xA3, 0x2D, 0x9E, 0x50, 0x8C, 0x34, 0x09, 0xDF, 0x18, 0xEB, 0x42,
+ 0x6B, 0xDB, 0xFD, 0xDD, 0x88, 0xAE, 0xB3, 0xA9, 0xBC, 0xB9, 0xD8, 0x4C,
+ 0x23, 0x88, 0xAD, 0x79, 0xAA, 0xBF, 0xA3, 0x44, 0x5F, 0x80, 0xA9, 0xA6,
+ 0x8E, 0xF7, 0x40, 0x96, 0xE3, 0x45, 0x16, 0xCB, 0x53, 0x16, 0xDF, 0x59,
+ 0x9E, 0x58, 0x36, 0xF1, 0x23, 0x27, 0x1C, 0xF7, 0x29, 0x47, 0x29, 0x52,
+ 0xE0, 0x6C, 0x81, 0x7A, 0x67, 0xC2, 0x19, 0x38, 0x2F, 0x22, 0xC4, 0xB0,
+ 0xA1, 0x6F, 0x7B, 0x7D, 0xDE, 0x9E, 0xCF, 0x4A, 0xF6, 0x92, 0x7B, 0xBF,
+ 0x44, 0x24, 0xF4, 0x3F, 0xCE, 0xB1, 0xA4, 0x8F, 0x1F, 0x2C, 0xBD, 0x98,
+ 0xE7, 0x59, 0x34, 0x64, 0xEB, 0xDE, 0x45, 0xD6, 0x04, 0xB6, 0xAF, 0x95,
+ 0xE3, 0x2A, 0xE7, 0x28, 0xD9, 0x21, 0xB3, 0x90, 0xF7, 0x12, 0xAD, 0xC2,
+ 0x80, 0x25, 0x7F, 0x44, 0x20, 0x74, 0x1C, 0x0D, 0x29, 0xE0, 0xE6, 0xB9,
+ 0x8E, 0xC1, 0x70, 0x85, 0x69, 0x38, 0x1B, 0xC8, 0x45, 0x42, 0x0D, 0xB0,
+ 0xC1, 0xBD, 0xC9, 0xA2, 0x3D, 0xAE, 0xC2, 0x09, 0x37, 0x8A, 0x01, 0x70,
+ 0x3B, 0x9C, 0x16, 0xC1, 0x0F, 0xC2, 0x97, 0x63, 0xA5, 0x2F, 0xEE, 0x64,
+ 0xF0, 0xA7, 0x28, 0x19, 0x85, 0x13, 0x36, 0x1C, 0xD9, 0x81, 0xDA, 0xC7,
+ 0x39, 0x93, 0x7F, 0xC4, 0x72, 0xCC, 0xCF, 0x66, 0x6E, 0x61, 0xDA, 0x3D,
+ 0x90, 0xC3, 0x65, 0x6F, 0x0B, 0xBD, 0xE6, 0xB9, 0x42, 0xD8, 0xA0, 0x49,
+ 0x6C, 0x9B, 0xC7, 0x03, 0xF7, 0x42, 0x4B, 0xF0, 0x08, 0x48, 0x80, 0x0A,
+ 0xAD, 0x51, 0x93, 0x47, 0xA4, 0x74, 0x76, 0x76, 0xC8, 0x10, 0x88, 0x10,
+ 0x9A, 0x2B, 0x67, 0x84, 0x8E, 0xE0, 0xA0, 0x8B, 0xD1, 0x40, 0x9E, 0x77,
+ 0x44, 0x34, 0xEF, 0xFE, 0x75, 0x4B, 0xDE, 0xCA, 0xFF, 0x23, 0x28, 0xED,
+ 0xC3, 0x0F, 0xDB, 0x85, 0xB4, 0x54, 0x88, 0xDE, 0x0A, 0x5D, 0x90, 0x52,
+ 0x39, 0x7F, 0x9D, 0xDB, 0x0F, 0x13, 0x86, 0x5D, 0xCA, 0x85, 0xA3, 0x6F,
+ 0x6B, 0x43, 0xB8, 0x4E, 0xD0, 0x44, 0xE5, 0xF4, 0x0B, 0xB9, 0x60, 0xE5,
+ 0x6D, 0xD0, 0xCD, 0x6E, 0xC0, 0x8C, 0x37, 0xB0, 0x17, 0xFE, 0xED, 0xBA,
+ 0x4A, 0x7F, 0x20, 0xA1, 0x74, 0xE1, 0x14, 0x6C, 0x44, 0x1D, 0xB9, 0x9A,
+ 0x2B, 0xF3, 0x4B, 0xB8, 0xD8, 0xFC, 0xAE, 0xB8, 0x74, 0xB2, 0x31, 0x3A,
+ 0xF2, 0xE2, 0x0B, 0x01, 0xD3, 0x8B, 0x56, 0xB4, 0x24, 0x51, 0x04, 0x7E,
+ 0xAF, 0xF5, 0x92, 0x23, 0x6C, 0xB2, 0x41, 0x85, 0x77, 0x54, 0xF6, 0xE2,
+ 0xDA, 0x3E, 0x4F, 0xAD, 0x07, 0x0F, 0xD1, 0x95, 0xB6, 0x41, 0x56, 0x73,
+ 0x75, 0xB6, 0xF2, 0x74, 0x4F, 0xE1, 0x69, 0x96, 0xD7, 0xA7, 0x3D, 0x09,
+ 0x5F, 0x5C, 0xFF, 0xDD, 0x50, 0xA9, 0x65, 0x08, 0xFB, 0xEC, 0xF8, 0x02,
+ 0x62, 0x5E, 0x5F, 0x16, 0x8D, 0xA0, 0x8C, 0x8D, 0x51, 0x98, 0xBB, 0x27,
+ 0x02, 0xF1, 0xCB, 0xDE, 0xA8, 0x22, 0x1B, 0xCF, 0xC3, 0x01, 0x19, 0x5B,
+ 0x71, 0x7A, 0x0D, 0x17, 0x4E, 0xEC, 0x9B, 0xB9, 0x6E, 0x7C, 0x49, 0xE1,
+ 0x5C, 0xD2, 0xA2, 0x6B, 0x93, 0x3E, 0x0C, 0x6B, 0xB1, 0x1D, 0x70, 0x2F,
+ 0x1A, 0x21, 0xD3, 0x3B, 0xE4, 0x80, 0x39, 0xE8, 0x9E, 0x38, 0xC2, 0xA5,
+ 0xE9, 0x6F, 0x55, 0xA5, 0x57, 0x35, 0x9B, 0xBC, 0x8E, 0x19, 0x17, 0x19,
+ 0xEC, 0x5E, 0x56, 0x69, 0xB2, 0xF1, 0x68, 0x91, 0x2C, 0x91, 0x77, 0xB3,
+ 0x20, 0xA5, 0x76, 0x24, 0x74, 0xCB, 0x23, 0x03, 0xF5, 0x4E, 0x78, 0xF4,
+ 0xDB, 0xB9, 0x14, 0xEA, 0x35, 0x4F, 0x8C, 0x9A, 0x3E, 0x81, 0x34, 0x2A,
+ 0x10, 0xAC, 0xF5, 0xFD, 0x4A, 0x3D, 0x8C, 0xD6, 0xF8, 0x5A, 0x20, 0x4E,
+ 0x16, 0x5D, 0x59, 0xE4, 0xFD, 0x12, 0xD5, 0xE5, 0xE9, 0x00, 0xAC, 0x94,
+ 0xDB, 0x98, 0x4D, 0xD8, 0xA5, 0xA7, 0x23, 0x72, 0xD8, 0xB5, 0xD8, 0x95,
+ 0x8E, 0xC7, 0xF9, 0xE6, 0x4C, 0xEA, 0x4E, 0x56, 0x0A, 0x8D, 0x95, 0x25,
+ 0xCB, 0x24, 0xD3, 0xB2, 0xF3, 0x6E, 0xD7, 0xD4, 0x6F, 0x89, 0x72, 0x29,
+ 0xA7, 0x76, 0xE7, 0xE4, 0x22, 0x83, 0x8D, 0x4E, 0x2B, 0x55, 0x1B, 0x28,
+ 0xD0, 0x12, 0x7F, 0x2B, 0x76, 0x44, 0xF3, 0x5F, 0xBC, 0x35, 0xBE, 0xF9,
+ 0xD8, 0x56, 0xEF, 0x44, 0x7F, 0x69, 0x91, 0x51, 0xF7, 0x3A, 0xA7, 0x0C,
+ 0xEE, 0xA5, 0x5F, 0x61, 0x93, 0x06, 0x07, 0x62, 0xB2, 0x8F, 0xA1, 0x50,
+ 0xA8, 0x33, 0x44, 0xA2, 0xE2, 0x3B, 0x9E, 0x5E, 0x1B, 0x10, 0x38, 0x05,
+ 0xDE, 0x85, 0xC5, 0x20, 0xEA, 0xCC, 0xFD, 0x67, 0xA5, 0xC3, 0x90, 0x33,
+ 0x4B, 0x03, 0x60, 0x28, 0xD4, 0xB6, 0x96, 0xAE, 0x3D, 0x6F, 0x6D, 0xD8,
+ 0x03, 0x04, 0xF7, 0xCF, 0x91, 0x5F, 0x56, 0x44, 0x09, 0xAE, 0x65, 0xAB,
+ 0x75, 0x04, 0xD8, 0xFE, 0xD4, 0x34, 0x96, 0x6A, 0xA4, 0xD4, 0xDB, 0x3A,
+ 0x3C, 0x90, 0xB1, 0x60, 0x33, 0x2F, 0xB8, 0xE6, 0xA3, 0x3A, 0x39, 0x21,
+ 0x22, 0xE3, 0xC0, 0x2F, 0x27, 0xC3, 0x8E, 0x37, 0xB8, 0xB2, 0x17, 0x95,
+ 0x89, 0x12, 0xD0, 0xAB, 0x98, 0x7D, 0x23, 0x2B, 0x65, 0xD7, 0xFD, 0xF3,
+ 0xF2, 0x8C, 0xD5, 0x07, 0xD5, 0x3F, 0x5C, 0xAA, 0xCE, 0x75, 0x22, 0x4A,
+ 0xA3, 0xF6, 0x3A, 0x4D, 0x45, 0x70, 0x62, 0x75, 0x61, 0xAA, 0x14, 0x6A,
+ 0x32, 0x64, 0x5C, 0x89, 0xBA, 0x18, 0xCD, 0x4C, 0x7D, 0x2A, 0xC0, 0xD9,
+ 0x12, 0x3C, 0x89, 0xAA, 0x7D, 0x4A, 0xEE, 0x9C, 0xF8, 0x11, 0xDC, 0x87,
+ 0x7D, 0x7D, 0x03, 0x21, 0xAB, 0x5C, 0x7E, 0xAE, 0x86, 0xF2, 0xEB, 0xD6,
+ 0x1A, 0xAE, 0x68, 0x1E, 0xB5, 0x3E, 0xEA, 0x73, 0xD0, 0xD7, 0x53, 0x29,
+ 0x37, 0xAA, 0xF8, 0xF8, 0xA2, 0x3E, 0x0A, 0xE6, 0x4F, 0xCB, 0xAF, 0x78,
+ 0x21, 0x69, 0x42, 0x2A, 0xDB, 0x6C, 0xE8, 0xF3, 0xF0, 0x03, 0xCD, 0x2E,
+ 0xE9, 0xEF, 0xC3, 0x7E, 0x5E, 0xA1, 0xA8, 0x90, 0x2D, 0x3D, 0x12, 0x46,
+ 0xA8, 0x97, 0x36, 0xC6, 0xC7, 0xC9, 0xA4, 0x6F, 0xE2, 0xD2, 0xDB, 0x3B,
+ 0xEC, 0x00, 0xE6, 0x91, 0x66, 0xAB, 0xD2, 0x13, 0xA6, 0xD3, 0x04, 0x94,
+ 0x24, 0x4F, 0xEE, 0x28, 0x05, 0x0B, 0xFA, 0xE5, 0x66, 0xDC, 0xC9, 0x1C,
+ 0x95, 0x28, 0x88, 0x30, 0x11, 0xF2, 0x15, 0x99, 0x5D, 0xC9, 0x2E, 0x57,
+ 0x74, 0x21, 0xC9, 0x64, 0x54, 0x78, 0xFD, 0x3C, 0x3D, 0x7D, 0x8F, 0xE0,
+ 0x6B, 0xD1, 0x82, 0x4A, 0xA2, 0x0B, 0x4A, 0x67, 0xCF, 0x9E, 0x8C, 0x2A,
+ 0x69, 0xC0, 0x31, 0xE4, 0xE1, 0xFC, 0xBC, 0xBB, 0x61, 0x70, 0xD6, 0x08,
+ 0x38, 0xC6, 0x1A, 0xF3, 0x73, 0x1C, 0x7F, 0xD4, 0xDE, 0x4D, 0x62, 0x77,
+ 0xFD, 0x66, 0x52, 0xB6, 0x33, 0x18, 0xCF, 0x09, 0x3F, 0x7D, 0xF4, 0x6D,
+ 0x80, 0x03, 0x68, 0xA7, 0x13, 0x33, 0xBA, 0x65, 0x71, 0x71, 0xAD, 0xCE,
+ 0x4D, 0x36, 0x0E, 0x24, 0x9B, 0x32, 0xF4, 0x9F, 0x93, 0xE3, 0x8C, 0x22,
+ 0xEC, 0xF7, 0x9C, 0x89, 0x64, 0x75, 0x64, 0xB7, 0xF8, 0x3E, 0x26, 0xA5,
+ 0x9D, 0x40, 0x3B, 0x23, 0x9A, 0x25, 0xF7, 0x62, 0x9C, 0xEC, 0x50, 0xED,
+ 0xE1, 0xEF, 0xB5, 0x8D, 0x90, 0x17, 0xED, 0x44, 0xCE, 0x34, 0xA3, 0x13,
+ 0x65, 0x18, 0xFA, 0x00, 0x9C, 0x8B, 0xEC, 0x05, 0x7B, 0xA0, 0x54, 0xC7,
+ 0x94, 0xEA, 0x0F, 0x49, 0xF3, 0xC5, 0x81, 0xFD, 0x91, 0x00, 0x98, 0x35,
+ 0x94, 0x67, 0x42, 0xB8, 0x06, 0xD1, 0x15, 0xD4, 0xE2, 0xDD, 0x10, 0x9E,
+ 0x17, 0x97, 0xF7, 0xDB, 0x55, 0x75, 0xCF, 0x23, 0x39, 0x80, 0xB2, 0xD0,
+ 0x72, 0xD2, 0x47, 0xE7, 0x04, 0xEF, 0x40, 0xA6, 0xDD, 0x66, 0x51, 0x36,
+ 0x9C, 0x67, 0xB5, 0x76, 0xFA, 0x7D, 0xE4, 0xC7, 0x94, 0xE4, 0x69, 0xEB,
+ 0x2D, 0xB8, 0xC0, 0xE4, 0x24, 0xD0, 0x7C, 0xA0, 0x17, 0x53, 0x67, 0x11,
+ 0x16, 0xFD, 0xCB, 0x9B, 0x37, 0xC0, 0x51, 0x76, 0x86, 0xD8, 0x51, 0x11,
+ 0xB8, 0xE1, 0x2A, 0x53, 0x0C, 0x25, 0xF0, 0xD0, 0x1E, 0xCB, 0x20, 0xE2,
+ 0x59, 0xCC, 0xCD, 0xB0, 0xA0, 0x81, 0xAC, 0xA5, 0xCD, 0x06, 0xE9, 0xFE,
+ 0x50, 0xD7, 0x9B, 0x9A, 0x74, 0x12, 0xE0, 0x2F, 0x41, 0xB5, 0x3C, 0xE3,
+ 0x55, 0x5E, 0x98, 0x68, 0x33, 0xD2, 0x53, 0x53, 0x2C, 0xA5, 0xD2, 0x7A,
+ 0x4F, 0x0C, 0x72, 0xFB, 0x69, 0x8C, 0xAD, 0xE0, 0x1B, 0x36, 0xCF, 0x94,
+ 0xC5, 0xA0, 0x59, 0x07, 0xAB, 0x3A, 0xC6, 0x31, 0x45, 0x5B, 0x4A, 0xE9,
+ 0x18, 0x03, 0xF2, 0xA3, 0xA8, 0x3E, 0x9E, 0xE2, 0x3E, 0xB0, 0x53, 0x88,
+ 0x40, 0xE1, 0xC9, 0x40, 0x8F, 0x73, 0x20, 0x5D, 0x79, 0x30, 0xAF, 0x7C,
+ 0xAA, 0x7B, 0x4E, 0xEC, 0x2D, 0x47, 0xA7, 0x1B, 0x99, 0xC0, 0x7B, 0x09,
+ 0xFB, 0x4B, 0xA1, 0xEC, 0xC0, 0x36, 0xBA, 0xAF, 0x52, 0x30, 0xD6, 0x00,
+ 0x55, 0x0C, 0xEB, 0xFC, 0xAF, 0x49, 0xA1, 0x9D, 0x63, 0xB3, 0xB5, 0x00,
+ 0x16, 0xCC, 0x80, 0x77, 0xD9, 0x7C, 0x27, 0x37, 0x6E, 0x2A, 0xAA, 0x37,
+ 0x0B, 0xB3, 0xCA, 0x21, 0x39, 0x68, 0xD2, 0x42, 0xC1, 0x1A, 0xC0, 0xA3,
+ 0x41};
+
+ auto encoded_signature =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+ EXPECT_TRUE(DILITHIUM_sign_deterministic(encoded_signature.get(), priv.get(),
+ message, sizeof(message)));
+
+ static const uint8_t expected_signature[DILITHIUM_SIGNATURE_BYTES] = {
+ 0x76, 0x5A, 0xB6, 0x8A, 0xC2, 0x04, 0xB2, 0x55, 0x69, 0x96, 0x18, 0x46,
+ 0x3D, 0x65, 0xD6, 0x93, 0xA1, 0x84, 0x5D, 0x57, 0x41, 0x81, 0xD1, 0x40,
+ 0x39, 0x72, 0x88, 0x8A, 0x76, 0xB3, 0xA5, 0x53, 0xF7, 0x9F, 0xEF, 0xD0,
+ 0x5F, 0xF2, 0x2F, 0x37, 0xA9, 0x9C, 0x52, 0x5F, 0xCE, 0x21, 0xF2, 0x83,
+ 0xE4, 0x37, 0xFD, 0xC3, 0x6F, 0x8E, 0xF4, 0xE9, 0xC3, 0x62, 0x8B, 0xDA,
+ 0xA7, 0xCE, 0xB6, 0xEB, 0x22, 0x8C, 0x23, 0x11, 0x80, 0xB6, 0x8D, 0xE6,
+ 0x34, 0x21, 0x23, 0x81, 0x41, 0x66, 0x4A, 0xE3, 0x00, 0x58, 0x60, 0xA4,
+ 0x22, 0x1A, 0xFA, 0xB1, 0x8D, 0xA8, 0x3F, 0x3A, 0x58, 0x64, 0x91, 0xB1,
+ 0x92, 0xC8, 0x52, 0x01, 0x77, 0x81, 0xFE, 0x44, 0x9A, 0x54, 0xE5, 0xAB,
+ 0x16, 0x6D, 0x97, 0x2A, 0x18, 0x2D, 0x3B, 0x4B, 0xD3, 0xD0, 0xAA, 0x5D,
+ 0x0B, 0xE6, 0x3C, 0xFF, 0xA7, 0x8D, 0x3B, 0x1E, 0xC7, 0x01, 0x4D, 0x1D,
+ 0x65, 0xBB, 0x94, 0x15, 0x3C, 0xC4, 0xAA, 0xF1, 0xCD, 0xAD, 0x92, 0xDD,
+ 0x3F, 0x94, 0x60, 0xE9, 0x12, 0x38, 0xE5, 0x51, 0xA6, 0x7D, 0xA3, 0x98,
+ 0x0C, 0xBC, 0x95, 0x1F, 0x58, 0x25, 0x0D, 0x32, 0x98, 0x4B, 0xDF, 0x98,
+ 0x83, 0x74, 0x86, 0xAA, 0x9E, 0x1D, 0x7F, 0x00, 0x72, 0xBB, 0x73, 0x1C,
+ 0xA6, 0x2C, 0x23, 0x16, 0xDB, 0xF8, 0x52, 0xC8, 0xAC, 0xC3, 0x69, 0x6C,
+ 0xAC, 0x30, 0x37, 0x87, 0x19, 0x59, 0xB7, 0xC4, 0x63, 0x3E, 0x17, 0x47,
+ 0x9D, 0x53, 0x61, 0x1F, 0x8A, 0xB8, 0x02, 0x57, 0xA8, 0xD2, 0x7A, 0x3C,
+ 0x32, 0xEC, 0x62, 0xD6, 0xE6, 0x8C, 0xDE, 0x16, 0xCF, 0x4E, 0xD8, 0x67,
+ 0xD3, 0x3C, 0xEB, 0x4A, 0x96, 0x3C, 0x91, 0x95, 0x13, 0x33, 0x86, 0x27,
+ 0x88, 0xD4, 0x21, 0x62, 0xBE, 0x81, 0x73, 0x16, 0x6A, 0x10, 0x42, 0xE6,
+ 0x7F, 0xC8, 0x1F, 0x37, 0xE4, 0xB3, 0x3D, 0x68, 0xE3, 0x90, 0x6F, 0xB5,
+ 0x1F, 0x09, 0xEF, 0x15, 0xB0, 0x83, 0xF2, 0xF2, 0x6B, 0xBE, 0xB1, 0x4B,
+ 0xDE, 0x76, 0x5A, 0x9C, 0xC8, 0x30, 0x44, 0x5C, 0x1B, 0x8D, 0x4C, 0x3B,
+ 0xBC, 0x43, 0x8F, 0xCB, 0x76, 0xAC, 0xC8, 0xB4, 0x3D, 0x43, 0xA9, 0x4E,
+ 0x85, 0xEC, 0x2D, 0x64, 0xCE, 0x02, 0x76, 0xA3, 0xBE, 0x11, 0xD5, 0x69,
+ 0x6A, 0xC2, 0x9F, 0xE8, 0x62, 0x4C, 0x30, 0x61, 0x9A, 0x7F, 0x9E, 0x71,
+ 0x6F, 0x06, 0xD0, 0x04, 0xFC, 0xB9, 0xBE, 0x45, 0x13, 0xAC, 0x17, 0x19,
+ 0xA6, 0x88, 0xFE, 0xBB, 0xED, 0x40, 0xB7, 0x78, 0x13, 0x40, 0xE6, 0xAF,
+ 0xCE, 0xAF, 0x52, 0x3A, 0x33, 0x7B, 0x90, 0xDC, 0x96, 0x4F, 0x15, 0x80,
+ 0xC7, 0x8E, 0x26, 0x09, 0x3C, 0xD9, 0x52, 0xE1, 0xF9, 0x4D, 0xAE, 0xFC,
+ 0x15, 0xF0, 0xE5, 0xB2, 0x89, 0xC0, 0x70, 0x49, 0x64, 0xD9, 0xDE, 0x70,
+ 0xBD, 0x8D, 0xFD, 0xC6, 0xF8, 0x57, 0xD9, 0x25, 0xC5, 0x24, 0x98, 0x06,
+ 0xA1, 0x6D, 0x42, 0x33, 0x04, 0x0B, 0x04, 0x9D, 0x31, 0xE7, 0x20, 0x1B,
+ 0x52, 0x75, 0x6F, 0x86, 0x38, 0x36, 0xE6, 0x14, 0x2A, 0x8C, 0xC6, 0xA2,
+ 0xAB, 0xD1, 0x1C, 0xF4, 0x05, 0xF0, 0x63, 0x68, 0x35, 0x35, 0xBF, 0xB9,
+ 0xB8, 0xA4, 0x95, 0x40, 0x4B, 0x98, 0xE6, 0xEF, 0x53, 0xE3, 0x70, 0x65,
+ 0x44, 0x0F, 0xE8, 0x68, 0xFB, 0x78, 0xE8, 0x8E, 0x5E, 0x89, 0x98, 0x61,
+ 0x5F, 0x78, 0x8E, 0x1C, 0xB6, 0xA3, 0xAA, 0x37, 0x07, 0x08, 0x4F, 0x17,
+ 0xC3, 0x14, 0xC4, 0x03, 0x76, 0x64, 0x4E, 0x2D, 0xF4, 0x61, 0x20, 0x31,
+ 0x03, 0xDE, 0x0E, 0x65, 0x20, 0x38, 0xF9, 0x09, 0x23, 0xF4, 0x2C, 0x31,
+ 0xC4, 0xA0, 0x16, 0x9E, 0xF5, 0xD3, 0xA0, 0x2F, 0xC5, 0x75, 0xCE, 0x3F,
+ 0x73, 0x1D, 0x7B, 0x1A, 0x9D, 0xB4, 0x44, 0x38, 0x67, 0x08, 0xCA, 0x4A,
+ 0x1A, 0xC2, 0x39, 0x08, 0x1A, 0x3F, 0x66, 0xE2, 0x69, 0xA9, 0x07, 0x0B,
+ 0x7A, 0x3A, 0xEB, 0x7B, 0x76, 0xA0, 0xFD, 0x76, 0xC2, 0x6B, 0x1F, 0xD9,
+ 0x18, 0x23, 0xF8, 0x4D, 0x7C, 0x9F, 0x89, 0x05, 0xE4, 0x72, 0x5B, 0x52,
+ 0x88, 0x96, 0x22, 0x1C, 0xE7, 0xDB, 0x23, 0x53, 0x0C, 0x62, 0x34, 0x3F,
+ 0x5E, 0xA3, 0xDB, 0x1F, 0x90, 0xEB, 0x14, 0x52, 0xD5, 0x4E, 0xE1, 0xAB,
+ 0x1E, 0x10, 0x9E, 0xF9, 0x62, 0xF0, 0x41, 0x9C, 0xA0, 0x11, 0x1F, 0x95,
+ 0xC1, 0xA8, 0x03, 0x4F, 0x96, 0x9F, 0xBD, 0xC1, 0x07, 0xF5, 0xEF, 0xAD,
+ 0x0C, 0x2B, 0xD5, 0xBC, 0x17, 0x4B, 0x29, 0xD6, 0x59, 0x75, 0xFA, 0xD9,
+ 0x8A, 0x61, 0x27, 0x28, 0x42, 0x27, 0x35, 0x6A, 0x42, 0x86, 0x6C, 0xAF,
+ 0x9A, 0xFA, 0x81, 0x63, 0x41, 0xC8, 0xE7, 0xC4, 0xC8, 0xE4, 0x86, 0x2B,
+ 0x71, 0x40, 0xB6, 0x5F, 0xDA, 0x45, 0x7E, 0x9B, 0x1E, 0xC1, 0x3F, 0x78,
+ 0xEE, 0xB0, 0x51, 0xD3, 0x71, 0x21, 0x31, 0x34, 0x18, 0x69, 0x69, 0x32,
+ 0x7D, 0x0E, 0x45, 0x16, 0x36, 0x38, 0xE9, 0x39, 0xE6, 0xA4, 0x9C, 0x10,
+ 0xB0, 0xE0, 0xAC, 0xC5, 0xBA, 0xC9, 0x04, 0xE2, 0x4F, 0x22, 0xA1, 0xF2,
+ 0xB1, 0x29, 0x8F, 0x4F, 0x59, 0xBC, 0xD0, 0x85, 0xEB, 0x08, 0x30, 0x2C,
+ 0x55, 0xDE, 0xCD, 0x53, 0xFA, 0x84, 0xE1, 0x28, 0x64, 0x7D, 0x3B, 0xA8,
+ 0x4D, 0x06, 0xED, 0x09, 0x2A, 0x0A, 0x41, 0x60, 0x85, 0xBC, 0xB2, 0x2F,
+ 0x21, 0xA5, 0x16, 0xBA, 0xC0, 0x1F, 0x49, 0xC5, 0x44, 0x88, 0xBF, 0x91,
+ 0xE2, 0x49, 0xC0, 0x0A, 0x65, 0x5E, 0xAB, 0xF6, 0x52, 0x5F, 0x0A, 0xB9,
+ 0x9B, 0xBF, 0x15, 0xDB, 0x35, 0x57, 0x82, 0xAB, 0xB7, 0x62, 0x6A, 0xD6,
+ 0x0B, 0x13, 0xED, 0xB2, 0xE4, 0x13, 0x71, 0x5C, 0x12, 0x9E, 0xDF, 0x21,
+ 0x54, 0x30, 0x59, 0xA3, 0xA5, 0x64, 0x6F, 0x9A, 0x55, 0xE9, 0x25, 0x70,
+ 0xA6, 0x83, 0xE6, 0xEF, 0x5C, 0x7E, 0x09, 0x7C, 0x4D, 0xFA, 0x5B, 0x4A,
+ 0x72, 0x5C, 0x82, 0xC0, 0xF6, 0x0E, 0x94, 0x14, 0x9A, 0x5D, 0x1E, 0x6E,
+ 0x14, 0x05, 0xDF, 0x20, 0x4B, 0xE7, 0x49, 0xA9, 0xA4, 0x03, 0xD0, 0xA2,
+ 0xEE, 0x26, 0xB7, 0x11, 0x3B, 0x24, 0x39, 0x90, 0x41, 0x90, 0xBE, 0xAA,
+ 0xCE, 0x77, 0xF2, 0x5E, 0x3F, 0x62, 0xC1, 0x22, 0xF7, 0x92, 0x5F, 0xD8,
+ 0x91, 0x3A, 0x33, 0x31, 0xAD, 0x43, 0x13, 0xB6, 0xC3, 0x47, 0x90, 0xE5,
+ 0x94, 0x09, 0x90, 0x76, 0x15, 0x19, 0xEA, 0x6B, 0x17, 0x39, 0x4F, 0x51,
+ 0xFA, 0x7C, 0xE8, 0x9C, 0xB7, 0x7A, 0xD9, 0xA1, 0x5A, 0x18, 0x42, 0x61,
+ 0xB4, 0xE5, 0xF2, 0xF9, 0x58, 0x71, 0xE9, 0xCA, 0x59, 0xEB, 0x99, 0x6B,
+ 0x93, 0x51, 0x83, 0x12, 0xEA, 0x1F, 0xA3, 0xB6, 0xDE, 0x79, 0x90, 0x36,
+ 0x3F, 0xE6, 0x52, 0x59, 0xA7, 0xDE, 0x67, 0x25, 0x6E, 0x3E, 0x8D, 0xC8,
+ 0x57, 0xE3, 0x50, 0x82, 0x6E, 0x95, 0xC1, 0x95, 0x36, 0x89, 0xFB, 0x6A,
+ 0x5B, 0xAD, 0x82, 0x6A, 0x1E, 0x9C, 0x6A, 0xDE, 0xD1, 0xAE, 0xEE, 0x12,
+ 0x49, 0x1A, 0x97, 0x8D, 0xE2, 0xEC, 0x35, 0xFD, 0x1D, 0xC7, 0x6B, 0x48,
+ 0x32, 0x2B, 0x87, 0x72, 0xA7, 0xB7, 0xE5, 0x5E, 0x8B, 0xFC, 0x5A, 0x8B,
+ 0xD0, 0x40, 0x94, 0x11, 0xF0, 0xFF, 0x3B, 0xE6, 0x93, 0x54, 0x9F, 0x04,
+ 0xB3, 0x46, 0x3C, 0xD0, 0x46, 0x69, 0xDF, 0x95, 0xCD, 0xE0, 0x4D, 0x7E,
+ 0xB6, 0xBD, 0x13, 0xDA, 0xBB, 0x39, 0xAA, 0x39, 0x16, 0xA5, 0x03, 0xFD,
+ 0x15, 0x70, 0xD5, 0xC5, 0xD4, 0xDF, 0xE2, 0x94, 0xA9, 0xE8, 0x2B, 0xE5,
+ 0x75, 0xB2, 0x7F, 0x9A, 0xB1, 0xEB, 0x21, 0xBA, 0xE0, 0x64, 0x07, 0xE2,
+ 0x69, 0x8C, 0xC4, 0xDD, 0x53, 0x3C, 0xBB, 0x78, 0xC9, 0x2E, 0x22, 0x7E,
+ 0x9E, 0x81, 0x36, 0x10, 0x49, 0xB9, 0x2E, 0xC1, 0x99, 0x9D, 0xC3, 0x0B,
+ 0xC9, 0xEC, 0x30, 0xE9, 0xBB, 0xB5, 0x72, 0x55, 0xBE, 0xE7, 0x50, 0xF8,
+ 0x84, 0x44, 0x9E, 0xFD, 0xFD, 0x28, 0x91, 0xD6, 0x97, 0x06, 0xC3, 0xCE,
+ 0x2A, 0x19, 0xD4, 0xB6, 0x4D, 0x26, 0xFC, 0xCD, 0xA9, 0x24, 0x54, 0x4D,
+ 0x69, 0xBB, 0x87, 0xD5, 0x0D, 0x17, 0xF6, 0x40, 0xD5, 0xFC, 0x5F, 0xDE,
+ 0xAF, 0xC6, 0xE4, 0xD6, 0x1F, 0x29, 0x11, 0xAC, 0x63, 0x17, 0xD1, 0x8A,
+ 0xD1, 0x2C, 0xCA, 0x6D, 0x6A, 0x61, 0x39, 0xEE, 0x34, 0x20, 0xE9, 0xE0,
+ 0x82, 0x52, 0x7F, 0xEF, 0x6D, 0x11, 0x1A, 0x88, 0x58, 0x41, 0x22, 0x72,
+ 0x07, 0xBB, 0x79, 0x33, 0x1A, 0xC0, 0xA2, 0x0A, 0xE1, 0x31, 0x7D, 0x09,
+ 0xC7, 0x53, 0x7D, 0xFF, 0xD1, 0x82, 0xDB, 0xD4, 0xB2, 0x5E, 0xE4, 0x83,
+ 0x16, 0x6F, 0x6C, 0xE0, 0x3A, 0xC5, 0xE1, 0x95, 0x60, 0xF2, 0x82, 0x16,
+ 0x96, 0x61, 0xF9, 0xF8, 0x61, 0xDD, 0x59, 0x33, 0x59, 0x7E, 0xAA, 0x06,
+ 0xDD, 0x34, 0xB2, 0x49, 0x24, 0x02, 0x1D, 0x1D, 0x35, 0xCA, 0x30, 0x64,
+ 0x01, 0x47, 0xFA, 0x2A, 0xAF, 0x1B, 0xA7, 0x82, 0x65, 0x0D, 0xDE, 0xCE,
+ 0x73, 0xA7, 0x28, 0x7F, 0xCB, 0x16, 0xE6, 0x44, 0x4E, 0xD5, 0x31, 0x31,
+ 0xB9, 0xD9, 0x16, 0x9B, 0xF6, 0xA9, 0xE0, 0x97, 0x76, 0xD2, 0x2C, 0x05,
+ 0xEF, 0xC7, 0x40, 0xA7, 0x6F, 0x7F, 0x2F, 0xBB, 0xDE, 0x0B, 0xD4, 0xAC,
+ 0x63, 0xF5, 0x0B, 0x3F, 0xA5, 0xC7, 0x18, 0x28, 0x55, 0x67, 0xE8, 0xEC,
+ 0xAD, 0x96, 0xDA, 0xF8, 0x9F, 0x48, 0xFE, 0x1F, 0x6C, 0x4B, 0x2D, 0x34,
+ 0xE0, 0x19, 0x14, 0x66, 0x9C, 0x13, 0x46, 0xF0, 0xAE, 0x30, 0xF5, 0x49,
+ 0xED, 0xE7, 0x37, 0x5C, 0x73, 0x12, 0x03, 0xEE, 0x4A, 0xA2, 0x90, 0x47,
+ 0xBC, 0x31, 0xD9, 0x8F, 0x7C, 0x2E, 0x47, 0x2D, 0xA8, 0x22, 0x4D, 0xFD,
+ 0x0D, 0x05, 0xED, 0xFA, 0xD5, 0x89, 0xD9, 0xAB, 0x17, 0x81, 0x15, 0x59,
+ 0xC8, 0xC3, 0x38, 0x64, 0x19, 0x33, 0xC7, 0x78, 0xFE, 0x57, 0x22, 0x02,
+ 0xBC, 0x41, 0x14, 0xED, 0xAE, 0x55, 0x2F, 0xD9, 0xA9, 0xA4, 0x4E, 0xAF,
+ 0x8B, 0xC6, 0x6B, 0xC6, 0x43, 0xA6, 0xCC, 0xA7, 0x08, 0xCB, 0x9F, 0xFB,
+ 0x8E, 0xFC, 0xD6, 0xCB, 0x5C, 0x87, 0xF1, 0x6F, 0x82, 0x1D, 0x88, 0x95,
+ 0x9B, 0x40, 0xAA, 0xEE, 0xD4, 0xED, 0x6A, 0x6D, 0x1F, 0x0E, 0xB7, 0xF5,
+ 0x0D, 0x90, 0xE1, 0xD4, 0x0D, 0xC3, 0x23, 0xC3, 0x8E, 0x66, 0x67, 0x19,
+ 0x5F, 0xAC, 0xD3, 0x59, 0x07, 0x45, 0xD7, 0xA2, 0x89, 0x9E, 0x55, 0x81,
+ 0x32, 0x20, 0x10, 0x32, 0xC5, 0x78, 0x2B, 0x34, 0x3E, 0xC1, 0x62, 0xC7,
+ 0x10, 0x66, 0xD8, 0xB7, 0x52, 0xE5, 0xDF, 0xA9, 0x11, 0x4B, 0x55, 0xAA,
+ 0xF7, 0x0A, 0x8C, 0x29, 0x17, 0x9C, 0x88, 0x52, 0xA6, 0x03, 0x08, 0xC7,
+ 0x32, 0x6E, 0xF0, 0xB4, 0xFD, 0xE2, 0x0C, 0xAB, 0xFF, 0xBC, 0x7D, 0x22,
+ 0xAF, 0xC9, 0x40, 0x09, 0x94, 0x66, 0x93, 0x12, 0xEB, 0x78, 0xF0, 0xFD,
+ 0x45, 0x84, 0x3A, 0x6B, 0xA5, 0xA0, 0xDA, 0xBD, 0x7B, 0x3A, 0xB5, 0x85,
+ 0xB7, 0x33, 0x8A, 0x84, 0x8C, 0x85, 0xE8, 0x0B, 0x53, 0x6E, 0xE9, 0x59,
+ 0x9B, 0xF7, 0xBA, 0xDE, 0x58, 0x67, 0xA2, 0x8B, 0x12, 0xB4, 0xEF, 0xE4,
+ 0x64, 0x63, 0x98, 0x97, 0xE6, 0xB6, 0xFC, 0x79, 0xF4, 0x2F, 0x78, 0x5B,
+ 0xB4, 0xA7, 0xDC, 0xFC, 0x0C, 0xA5, 0x46, 0xD8, 0x8C, 0xD8, 0xF9, 0x8B,
+ 0x93, 0x0F, 0x07, 0x20, 0x62, 0x99, 0x4F, 0xBD, 0xE9, 0x05, 0x10, 0xE6,
+ 0xD6, 0x1A, 0x7C, 0xE1, 0xBA, 0x63, 0xA6, 0x6C, 0x46, 0x45, 0xCF, 0x99,
+ 0x5F, 0x2C, 0x77, 0x77, 0xE4, 0x1D, 0x28, 0x76, 0x01, 0x0F, 0xD7, 0xCF,
+ 0x88, 0x7E, 0x9D, 0xB6, 0x02, 0xD9, 0x6E, 0x86, 0x4B, 0x5B, 0x9F, 0x64,
+ 0x10, 0x2E, 0x00, 0xF1, 0x98, 0x68, 0x77, 0x9A, 0x78, 0x0D, 0x51, 0x6B,
+ 0x69, 0x45, 0xF5, 0x82, 0x8E, 0x98, 0x07, 0xD4, 0x15, 0xC7, 0x68, 0x82,
+ 0x2A, 0x3B, 0x9A, 0x36, 0x3C, 0xFF, 0x26, 0x3E, 0x04, 0xBA, 0x72, 0xFF,
+ 0x41, 0xD5, 0x08, 0xB7, 0x59, 0x24, 0xD1, 0x7C, 0xCA, 0x35, 0x95, 0x5E,
+ 0xD1, 0x02, 0xEC, 0xCF, 0x93, 0x4F, 0xD2, 0x20, 0x86, 0x56, 0x75, 0x6B,
+ 0x8D, 0xDA, 0x6F, 0xFD, 0x5A, 0x2B, 0x18, 0x89, 0x07, 0x2E, 0x13, 0x14,
+ 0x1B, 0x9D, 0xBC, 0xF8, 0xB8, 0xA6, 0x9E, 0x8D, 0xAC, 0x83, 0x40, 0x3E,
+ 0x7D, 0x42, 0x45, 0xA3, 0x11, 0x8E, 0xC5, 0x1B, 0xEE, 0x51, 0x96, 0x69,
+ 0xB8, 0x49, 0x21, 0xE9, 0xEB, 0x9B, 0x85, 0x45, 0x0A, 0x45, 0x04, 0xAA,
+ 0x47, 0x63, 0xB5, 0xC1, 0xFF, 0x07, 0x83, 0x55, 0x9B, 0xF7, 0xD0, 0x4A,
+ 0x38, 0x32, 0xD5, 0xC1, 0xE6, 0x90, 0xC4, 0xA2, 0x7B, 0x6F, 0x0E, 0x6D,
+ 0xCB, 0xB4, 0xDA, 0x80, 0x24, 0x9C, 0xA9, 0x82, 0x5F, 0xAA, 0x25, 0x56,
+ 0x32, 0x67, 0xFA, 0x02, 0x37, 0x24, 0x4B, 0x2D, 0xD0, 0xAE, 0x1A, 0x8F,
+ 0x10, 0x10, 0xAB, 0xDF, 0x3D, 0x05, 0x27, 0x07, 0xDF, 0x8D, 0xB9, 0xBD,
+ 0x3B, 0x20, 0x6B, 0x61, 0xD2, 0xB2, 0x62, 0xB7, 0xBB, 0x0C, 0x0F, 0x43,
+ 0x72, 0x15, 0x5F, 0x6E, 0x27, 0xF1, 0xE0, 0x36, 0x84, 0x9D, 0xA9, 0x2A,
+ 0x79, 0x22, 0x49, 0xE2, 0x9D, 0x87, 0x6E, 0x0C, 0x97, 0x63, 0xA2, 0x44,
+ 0xCF, 0x58, 0x39, 0x50, 0xD6, 0xCD, 0xEC, 0x34, 0x8D, 0xA4, 0x83, 0x60,
+ 0xF9, 0xB7, 0xCE, 0xEE, 0xC0, 0x46, 0xBD, 0xFC, 0x7E, 0xE4, 0x01, 0xD7,
+ 0x08, 0x59, 0x07, 0x13, 0xE6, 0xF1, 0x45, 0xC9, 0x06, 0x10, 0xEB, 0xD1,
+ 0xBE, 0xC8, 0xFB, 0x95, 0x18, 0xC3, 0x9A, 0x2F, 0xA9, 0xEF, 0xED, 0xBC,
+ 0x61, 0xDE, 0xB4, 0xD0, 0xB6, 0x11, 0x01, 0xE3, 0x73, 0x93, 0x0F, 0x2D,
+ 0x57, 0x76, 0xBE, 0xE5, 0xE1, 0xAE, 0x6D, 0xFB, 0x2D, 0x8E, 0xAF, 0x3D,
+ 0xD0, 0x71, 0x75, 0x3B, 0xB7, 0x00, 0xE0, 0xC8, 0xCD, 0x99, 0x79, 0x84,
+ 0x90, 0x54, 0x17, 0xAA, 0x2B, 0xF8, 0x05, 0xC1, 0xB9, 0x44, 0xFA, 0x67,
+ 0xBC, 0x0C, 0xB9, 0x61, 0xD8, 0x48, 0xAD, 0x3B, 0x07, 0x25, 0xC2, 0x69,
+ 0xCA, 0xE7, 0x7B, 0x61, 0xF0, 0x1D, 0xB3, 0xBB, 0x16, 0x0F, 0x8F, 0xA2,
+ 0x8B, 0x04, 0x61, 0x36, 0xBE, 0xAC, 0xAC, 0x81, 0x17, 0x4B, 0xAA, 0x18,
+ 0xB7, 0xE4, 0xDE, 0x4E, 0x21, 0x08, 0x32, 0x23, 0x2A, 0xDA, 0x0B, 0xCE,
+ 0x80, 0x05, 0xB4, 0x50, 0xC2, 0x49, 0xE0, 0x5B, 0x79, 0x6E, 0x31, 0x2B,
+ 0x69, 0x1F, 0xF1, 0x36, 0x5E, 0x9A, 0x39, 0x76, 0x05, 0xDF, 0xFA, 0x63,
+ 0xA2, 0xF6, 0x12, 0xCB, 0x46, 0xE9, 0xF2, 0xA1, 0xB5, 0xC9, 0xE0, 0xBC,
+ 0xF1, 0x23, 0x5D, 0x1C, 0x55, 0x1F, 0xE5, 0x68, 0xB1, 0xF2, 0x63, 0x4F,
+ 0x90, 0x15, 0x92, 0xBD, 0x54, 0x7B, 0x8C, 0x60, 0x68, 0x32, 0x4E, 0xF6,
+ 0x60, 0xEB, 0xFF, 0xB6, 0xCE, 0xBB, 0x74, 0xAD, 0x03, 0x3A, 0x61, 0x42,
+ 0x59, 0x14, 0x6E, 0x30, 0xE0, 0x2B, 0x45, 0x6F, 0xFA, 0x03, 0x8C, 0x2A,
+ 0x0A, 0x28, 0xFF, 0xE5, 0xF8, 0x82, 0xBF, 0xFC, 0xA4, 0xE7, 0xE3, 0x6B,
+ 0x07, 0xA6, 0xCB, 0x9B, 0xED, 0x8F, 0xDF, 0x77, 0x5D, 0x4B, 0xCD, 0xE8,
+ 0x54, 0xDE, 0xBA, 0xA1, 0x8B, 0x21, 0x9F, 0x15, 0x8E, 0xD2, 0x49, 0x10,
+ 0x28, 0xD2, 0xA4, 0x18, 0xA1, 0x90, 0xA8, 0xDB, 0x4F, 0x07, 0x90, 0x04,
+ 0x67, 0xF9, 0xB6, 0x12, 0xB4, 0xEF, 0x96, 0x42, 0xAA, 0x1F, 0x7C, 0x09,
+ 0xE0, 0x8E, 0xE8, 0xB1, 0x24, 0x40, 0x1B, 0xAF, 0xB5, 0xBA, 0xCA, 0xC2,
+ 0x25, 0x04, 0x74, 0x83, 0xE5, 0x36, 0x2A, 0x99, 0xF3, 0x9C, 0xBB, 0x22,
+ 0xD2, 0xDB, 0x63, 0xE3, 0x88, 0x38, 0x12, 0xB8, 0x42, 0x53, 0x60, 0xF7,
+ 0x9B, 0x1C, 0x35, 0x18, 0xC1, 0xD1, 0x0C, 0x3E, 0x1D, 0x64, 0xDC, 0x1F,
+ 0xC2, 0xC5, 0x1F, 0xC2, 0x0E, 0x34, 0x6E, 0xCA, 0x82, 0x94, 0xE3, 0x7C,
+ 0x91, 0x16, 0x87, 0x14, 0x85, 0xDB, 0x47, 0x39, 0x5F, 0x8B, 0xC0, 0xD7,
+ 0x08, 0xEB, 0x2A, 0x52, 0xEE, 0x68, 0xBB, 0x2A, 0xCE, 0x0C, 0xB0, 0x70,
+ 0xAB, 0x99, 0x38, 0xC3, 0x3F, 0xB3, 0x41, 0xB8, 0x14, 0x80, 0x41, 0x8F,
+ 0x8D, 0x39, 0xCF, 0x0E, 0x6F, 0x92, 0x3E, 0xB6, 0x52, 0x06, 0xF8, 0x0D,
+ 0x3A, 0xE5, 0x39, 0x13, 0x92, 0x78, 0x2F, 0x14, 0x8E, 0xDB, 0x6E, 0xE3,
+ 0x93, 0x94, 0x31, 0xDF, 0x8F, 0xEE, 0x91, 0xDE, 0x62, 0x5F, 0xD0, 0xAD,
+ 0x89, 0x53, 0xD3, 0xA5, 0x0D, 0x33, 0x81, 0x79, 0xB4, 0xD1, 0xF7, 0xF4,
+ 0x2A, 0xBA, 0x9F, 0x51, 0x89, 0xC7, 0xDD, 0xE4, 0x72, 0xB1, 0xF8, 0x9B,
+ 0xFA, 0x60, 0x58, 0x6B, 0x75, 0x0B, 0x22, 0x17, 0x58, 0x0F, 0xA5, 0x18,
+ 0x54, 0x9E, 0x50, 0x2A, 0x30, 0x18, 0x1A, 0xAB, 0xA3, 0x21, 0x7C, 0x1A,
+ 0x5D, 0xC9, 0x6D, 0x2A, 0x86, 0x2D, 0xD8, 0xC9, 0xD9, 0x1F, 0x5A, 0x55,
+ 0x63, 0x67, 0xC2, 0xD4, 0x44, 0x9D, 0x07, 0x60, 0x60, 0x69, 0x21, 0x1E,
+ 0xE6, 0x5A, 0xBE, 0x35, 0xCD, 0x87, 0x02, 0x5F, 0x89, 0xBF, 0x53, 0xF0,
+ 0x64, 0xFD, 0xDE, 0x4C, 0xB5, 0xB4, 0xC1, 0xFB, 0x6B, 0xAF, 0x6D, 0xF3,
+ 0x14, 0x97, 0x84, 0xB5, 0x43, 0x82, 0xF1, 0x00, 0x18, 0x8E, 0x62, 0xEF,
+ 0x5B, 0x56, 0x60, 0x04, 0x12, 0x54, 0x1F, 0x21, 0x01, 0x94, 0x35, 0x65,
+ 0x7E, 0x53, 0x26, 0x6F, 0x86, 0x5D, 0x86, 0x23, 0xE2, 0x18, 0x29, 0x45,
+ 0xBF, 0x30, 0xD1, 0x33, 0xB2, 0xF6, 0x95, 0xD1, 0xB7, 0x5D, 0xE1, 0x1A,
+ 0x33, 0x28, 0xFF, 0xEE, 0xFF, 0x04, 0x1F, 0x4B, 0x5C, 0x3E, 0x96, 0x42,
+ 0x04, 0x0E, 0x13, 0xA8, 0x25, 0xF1, 0x17, 0x67, 0x6A, 0xD5, 0xD4, 0x0B,
+ 0x82, 0x7A, 0xAE, 0x31, 0x56, 0x4F, 0x91, 0x43, 0xE8, 0x58, 0x6F, 0x39,
+ 0x4B, 0xFF, 0xC0, 0x50, 0x73, 0x29, 0xDC, 0x6A, 0xE4, 0x96, 0xA6, 0xE0,
+ 0xE0, 0xC1, 0x66, 0x4E, 0x1C, 0xDF, 0x30, 0x7C, 0x39, 0x4D, 0x19, 0x51,
+ 0x5F, 0xC1, 0xD6, 0xB8, 0x05, 0xF5, 0xED, 0x3F, 0xE9, 0xFF, 0x20, 0xDA,
+ 0xD5, 0x70, 0x3C, 0x43, 0x04, 0xDE, 0xA9, 0x7E, 0xFD, 0xED, 0x61, 0x7C,
+ 0x20, 0xDF, 0xB8, 0x2B, 0xE3, 0x00, 0x22, 0x92, 0x27, 0xEF, 0xC3, 0x36,
+ 0x45, 0xA4, 0x69, 0xE2, 0xEB, 0xF8, 0xB8, 0x0B, 0x4D, 0x15, 0x7B, 0xE5,
+ 0xCB, 0xF9, 0xAB, 0x9B, 0xFD, 0x27, 0x35, 0x06, 0x87, 0xBA, 0x5F, 0xF5,
+ 0xBD, 0x6B, 0xCA, 0x72, 0x84, 0x8E, 0x6E, 0x30, 0xC9, 0x5E, 0xA3, 0x55,
+ 0x2A, 0x7F, 0xBD, 0x46, 0x62, 0x35, 0x8B, 0x38, 0xC5, 0xEE, 0xCF, 0xD5,
+ 0x48, 0x8A, 0x1F, 0xB3, 0xE9, 0x8A, 0xFE, 0xA4, 0x79, 0xB9, 0xDD, 0xAC,
+ 0x0E, 0x91, 0xC1, 0x6F, 0xCE, 0x75, 0xFE, 0x37, 0xCA, 0xAF, 0x08, 0x9E,
+ 0x6F, 0x84, 0xB8, 0xCE, 0x63, 0x31, 0xE6, 0xB5, 0x78, 0x28, 0xA6, 0x7A,
+ 0x12, 0xB4, 0xD2, 0x61, 0x66, 0x55, 0xE5, 0x94, 0xC4, 0x61, 0x83, 0x4B,
+ 0x22, 0x8D, 0x38, 0xD3, 0x23, 0xC5, 0x09, 0xC2, 0x70, 0x1D, 0x03, 0x27,
+ 0xEB, 0xD8, 0xE9, 0x76, 0x0A, 0x3C, 0xC8, 0xFD, 0x98, 0x92, 0xF1, 0x0C,
+ 0x84, 0xBF, 0xDF, 0x00, 0xA1, 0xF9, 0x2D, 0xB6, 0x97, 0x6F, 0x23, 0x6B,
+ 0xA7, 0xF4, 0x30, 0xCE, 0xB0, 0xC1, 0x3C, 0x28, 0xBF, 0x5D, 0x1B, 0x7C,
+ 0x92, 0xE1, 0x66, 0x37, 0xB6, 0x99, 0x76, 0x0A, 0x04, 0xC8, 0x87, 0x15,
+ 0x21, 0x71, 0x93, 0x78, 0x29, 0x2E, 0xDF, 0xF0, 0x85, 0x90, 0x0F, 0x36,
+ 0x4D, 0x1D, 0x2F, 0xD1, 0x4B, 0xBA, 0x8F, 0xD4, 0x37, 0x56, 0x4B, 0x86,
+ 0x30, 0x09, 0x90, 0x0F, 0x4C, 0x80, 0xCB, 0x86, 0x97, 0xDB, 0x7D, 0xD8,
+ 0x59, 0x41, 0xE8, 0xF9, 0xF4, 0x59, 0xFA, 0x6C, 0x2D, 0xA2, 0x6F, 0x2F,
+ 0x78, 0x3D, 0xA5, 0x19, 0x86, 0xB3, 0x44, 0xC5, 0xB8, 0xE8, 0xA8, 0xB9,
+ 0x93, 0xF4, 0x0C, 0x7E, 0xA2, 0x95, 0x04, 0x65, 0x35, 0xB9, 0xAC, 0x02,
+ 0xFC, 0x56, 0x76, 0x9D, 0xC1, 0x41, 0xE0, 0xED, 0x3A, 0x6F, 0xC5, 0xC9,
+ 0xAC, 0xE3, 0x86, 0x11, 0x04, 0x70, 0x42, 0xAC, 0xD4, 0x3A, 0xE4, 0x0C,
+ 0xC1, 0x9C, 0xF1, 0x10, 0x34, 0x90, 0xB0, 0x10, 0x7B, 0x34, 0x97, 0x47,
+ 0x1B, 0x2F, 0xBA, 0x1F, 0x07, 0x8B, 0x77, 0x93, 0xC6, 0xED, 0xC9, 0x20,
+ 0xDA, 0x77, 0x73, 0x55, 0x25, 0x1C, 0x7C, 0xC3, 0x5A, 0x01, 0x24, 0xAB,
+ 0x3C, 0x86, 0x37, 0x1D, 0x7A, 0xB1, 0x1C, 0x8B, 0xF0, 0x83, 0xBF, 0xB8,
+ 0x79, 0xEE, 0x9C, 0xF0, 0x2F, 0xE5, 0x57, 0x0D, 0xD0, 0x50, 0x39, 0x83,
+ 0xE2, 0x4C, 0x82, 0xEB, 0x21, 0x1E, 0x47, 0xBB, 0xB0, 0x46, 0x5B, 0x4B,
+ 0xD4, 0x7E, 0x2E, 0xCA, 0x81, 0x4B, 0x68, 0x96, 0x0C, 0xCD, 0xAE, 0xCC,
+ 0x51, 0x72, 0xC8, 0x7F, 0x04, 0x88, 0xA0, 0x27, 0x64, 0x99, 0x59, 0x1F,
+ 0xEE, 0x17, 0x63, 0x98, 0x73, 0xF2, 0x11, 0x46, 0x19, 0x8D, 0x16, 0x4C,
+ 0x5C, 0x20, 0xDE, 0x69, 0xD1, 0x10, 0xE8, 0x76, 0x64, 0x40, 0x67, 0x45,
+ 0xF6, 0x79, 0xE6, 0x76, 0x26, 0xFD, 0xCF, 0x22, 0x02, 0x76, 0x1A, 0x2C,
+ 0x5C, 0x96, 0xEB, 0xE8, 0x30, 0x3F, 0x05, 0xA9, 0x74, 0x69, 0x73, 0x17,
+ 0x0A, 0x7C, 0xC1, 0x10, 0x5F, 0x9A, 0xE5, 0x0A, 0x53, 0x30, 0x79, 0x01,
+ 0xAC, 0x66, 0xCE, 0x27, 0xA6, 0x5C, 0xF9, 0xA6, 0xAC, 0x0D, 0x2F, 0x40,
+ 0xAA, 0x0D, 0x15, 0x8A, 0xFE, 0xAD, 0x73, 0x7E, 0x16, 0x11, 0x84, 0x79,
+ 0x95, 0xDE, 0xE8, 0x4B, 0xC7, 0x48, 0xA5, 0xED, 0x57, 0xEA, 0x2A, 0xC5,
+ 0x8B, 0x2F, 0xD3, 0xD2, 0xD9, 0x28, 0x66, 0x6E, 0xA0, 0x9D, 0x07, 0x0A,
+ 0x1E, 0x87, 0x95, 0x3F, 0xAF, 0xB3, 0xAB, 0x8D, 0x3D, 0x46, 0x8A, 0x15,
+ 0x3E, 0xF8, 0x7C, 0xBC, 0xA1, 0xCE, 0x7A, 0x6C, 0x27, 0x8A, 0xC8, 0x90,
+ 0x09, 0x8D, 0x2B, 0xE5, 0x2B, 0x3A, 0xF9, 0xF0, 0x21, 0x87, 0xEB, 0x63,
+ 0x88, 0x3D, 0x52, 0x64, 0x17, 0x1D, 0x48, 0x5F, 0xFB, 0x1E, 0xCB, 0x27,
+ 0x2F, 0x18, 0x38, 0x5C, 0x6B, 0x8E, 0x81, 0x78, 0x8F, 0x37, 0xB6, 0x34,
+ 0xE0, 0xEC, 0x96, 0x72, 0x8A, 0xBD, 0xCF, 0xC8, 0x76, 0x9A, 0x5F, 0x2D,
+ 0xEB, 0x8B, 0xB1, 0xFC, 0xA8, 0x44, 0xDA, 0xFA, 0xF6, 0xD6, 0x3A, 0xE1,
+ 0x1E, 0x8E, 0x9A, 0x1A, 0x1B, 0xD7, 0x0E, 0x14, 0xD0, 0x58, 0x3B, 0xB1,
+ 0x2B, 0x7E, 0x0C, 0x13, 0xC7, 0xA9, 0x88, 0x05, 0x4E, 0xED, 0xC5, 0xDD,
+ 0xDB, 0x57, 0xBC, 0x25, 0x5F, 0x6E, 0xA9, 0x0D, 0x66, 0x19, 0xB5, 0x42,
+ 0xFE, 0xDC, 0x56, 0x53, 0x07, 0x82, 0x32, 0x07, 0x04, 0x10, 0xAD, 0x75,
+ 0x14, 0xFB, 0x50, 0xE9, 0xE7, 0x4D, 0x51, 0xC6, 0xF8, 0x16, 0x2A, 0xD2,
+ 0x5A, 0xD6, 0x15, 0x97, 0x70, 0x76, 0x2F, 0x36, 0xF7, 0x45, 0x87, 0xE1,
+ 0xAB, 0x3E, 0x9F, 0x50, 0xF7, 0xC0, 0x4C, 0xE7, 0x5C, 0xBC, 0x78, 0xBA,
+ 0xCB, 0x26, 0xFC, 0xE2, 0x43, 0xE1, 0x3C, 0xE7, 0x4C, 0x28, 0x67, 0x11,
+ 0x57, 0x59, 0x96, 0x51, 0x01, 0x6B, 0xB0, 0x41, 0x45, 0x9D, 0xF4, 0xEA,
+ 0x0B, 0x6F, 0x6F, 0x35, 0xE3, 0x0E, 0xC1, 0xEA, 0x6F, 0xEA, 0x94, 0xBB,
+ 0x53, 0xD3, 0x47, 0xE2, 0x6C, 0xE7, 0xBE, 0x6E, 0x4C, 0x56, 0x9E, 0x60,
+ 0xF9, 0xA4, 0x28, 0xEB, 0x55, 0xC0, 0x2F, 0x65, 0x1A, 0x0B, 0x84, 0xE2,
+ 0xD6, 0x52, 0xA2, 0x42, 0xA5, 0x51, 0x2A, 0xCB, 0x29, 0x43, 0xF0, 0x29,
+ 0xBE, 0xE7, 0x79, 0x3A, 0xC3, 0x85, 0xBF, 0x7E, 0xA0, 0x77, 0xF2, 0x00,
+ 0x65, 0x4E, 0xDA, 0x0A, 0x23, 0x18, 0x2A, 0x1F, 0xAB, 0xB5, 0x00, 0x10,
+ 0x87, 0xAC, 0x7B, 0x45, 0xDF, 0xA7, 0x9F, 0xAB, 0x72, 0xBA, 0xD1, 0x34,
+ 0x90, 0x93, 0xEC, 0x40, 0x87, 0x0B, 0xC8, 0x8D, 0xA3, 0xCD, 0x66, 0x0E,
+ 0x6E, 0x61, 0x71, 0x1B, 0xFB, 0xCB, 0xCD, 0x50, 0x7A, 0x29, 0x47, 0xDD,
+ 0xC4, 0x11, 0x4F, 0xE2, 0x7E, 0x93, 0xA3, 0x46, 0x18, 0x25, 0x43, 0xF7,
+ 0xC5, 0x70, 0x6C, 0x5C, 0x8E, 0x58, 0x80, 0x4F, 0x42, 0x1A, 0xA7, 0x75,
+ 0xBC, 0x82, 0x4D, 0x9B, 0x27, 0xC7, 0x58, 0xA6, 0x90, 0x42, 0x69, 0x7F,
+ 0x04, 0x6A, 0x17, 0xC8, 0xB9, 0x97, 0xA8, 0xFD, 0xA0, 0x96, 0xA2, 0xA3,
+ 0x73, 0x19, 0x5D, 0xA3, 0xE5, 0xFF, 0x02, 0xFA, 0x1A, 0xFE, 0x51, 0x66,
+ 0xF8, 0xC2, 0x43, 0xFF, 0x65, 0x49, 0x7F, 0x67, 0x3D, 0x6F, 0x95, 0x97,
+ 0xBF, 0xD9, 0x11, 0x23, 0x4D, 0x7C, 0x81, 0xC3, 0xC5, 0xF1, 0x79, 0x8F,
+ 0xB4, 0xCA, 0xEA, 0x4F, 0x7D, 0x84, 0xE9, 0xF3, 0x10, 0x34, 0x3B, 0x51,
+ 0xA9, 0xB4, 0x4D, 0x93, 0xA2, 0xC0, 0xF9, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x06, 0x0E, 0x13, 0x18, 0x1E, 0x23};
+ EXPECT_EQ(Bytes(encoded_signature.get(), DILITHIUM_SIGNATURE_BYTES),
+ Bytes(expected_signature));
+}
diff --git a/src/crypto/dilithium/dilithium_tests.txt b/src/crypto/dilithium/dilithium_tests.txt
new file mode 100644
index 0000000..2494d77
--- /dev/null
+++ b/src/crypto/dilithium/dilithium_tests.txt
@@ -0,0 +1,909 @@
+# Dilithium3
+#
+# Test vectors generated with
+# https://github.com/pq-crystals/dilithium/commit/918af1a6eaedcedf9fdd8aaaca6c1fccd5a7a51f
+#
+# Based on the NIST draft of FIPS 204, published on August 24th, 2023
+# - https://csrc.nist.gov/pubs/fips/204/ipd
+# - https://github.com/pq-crystals/dilithium/tree/standard
+
+count = 0
+seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1
+mlen = 33
+msg = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC8
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+count = 1
+seed = 64335BF29E5DE62842C941766BA129B0643B5E7121CA26CFC190EC7DC3543830557FDD5C03CF123A456D48EFEA43C868
+mlen = 66
+msg = 225D5CE2CEAC61930A07503FB59F7C2F936A3E075481DA3CA299A80F8C5DF9223A073E7B90E02EBF98CA2227EBA38C1AB2568209E46DBA961869C6F83983B17DCD49
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+smlen = 3375
+sm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
+
+count = 2
+seed = BFF58FDA9DB4C2D8BD02E4647868D4A2FA12500A65CA4C9F918B505707FA775951018D9149C97D443EA16B07DD68435B
+mlen = 99
+msg = 2B8C4B0F29363EAEE469A7E33524538AA066AE98980EAA19D1F10593203DA2143B9E9E1973F7FF0E6C6AAA3C0B900E50D003412EFE96DEECE3046D8C46BC7709228789775ABDF56AED6416C90033780CB7A4984815DA1B14660DCF34AA34BF82CEBBCF
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+sk = 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+smlen = 3408
+sm = 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
+
+count = 3
+seed = 58C094D217BC13EDFDBEA57EDBF3A536F8F69FED1D54648CE3D0CCB4847A5C9917C2E2BC4D5F620E937F0D329FCF8A16
+mlen = 132
+msg = 2F7AF5B52A046471EFCD720C9384919BE05A61CDE8E8B01251C5AB885E820FD36ED9FF6FDF45783EC81A86728CBB74B426ADFF96123C08FAC2BC6C58A9C0DD71761292262C65F20DF47751F0831770A6BB7B3760BB7F5EFFFB6E11AC35F353A6F24400B80B287834E92C9CF0D3C949D6DCA31B0B94E0E3312E8BD02174B170C2CA9355FE
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+sk = 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+smlen = 3441
+sm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
+
+count = 4
+seed = F1902A7815F37BC7F5802D8CBCE5B48D82EB85691718062BFB84D8C06AA41D6E9039B0A107245DAFA4EC109A57332914
+mlen = 165
+msg = 1CDF0AE1124780A8FF00318F779A3B86B3504D059CA7AB3FE4D6EAE9FD46428D1DABB704C0735A8FE8708F409741017B723D9A304E54FDC5789A7B0748C2464B7308AC9665115644C569AE253D5205751342574C03346DDDC1950A6273546616B96D0C5ECE0A044AF0EDEFBE445F9AE37DA5AFB8D22A56D9FD1801425A0A276F48431D7AF039521E549551481391FE5F4EBFB7644D9F9782D83A95137E84EA3AEB3C2F8099
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+smlen = 3474
+sm = 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+
+count = 5
+seed = 75224ECC026C18159FF92256844D0ADF953F0A4DD8D74D4EBF1DC5EE8F5630B011A447FD4DC34A2404D620CA0E1F273E
+mlen = 198
+msg = DBE5B6C299B44F8D60FA972A336DF789EF4534EC9BA90DF92AD401D1907951EB6285EDA8F134277AB0A1145001C34E392187122506AA2DBB8617D7943A129EB5C07DF133D7CCDE94A7CB7F1795C62493ED375353D1F044257DA799F7D112C174FBC35687E2F87FEFBE2D83D29D7314B30A749FE41B1B81095638F112BC4563420AF235280E466FFBE7050C4937C60FC18D1A6025BCBD489F0C538E088E906ABE8597E2C8EBB64F01D225C847AAE4B77BAE6EBA9269962C4B94A9732CEAA2CB4093D442FFBCDD
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+
+count = 6
+seed = 447F03C8CD27EDAA1FA0436DA492812F57AC946479A9F1F90EC4F5E913A05F8AB0DD7645026A96510F6D40AF05D85B07
+mlen = 231
+msg = 0073BEE97FC97C0FBC750D474AEB93189F061E1A5CF6600C04FB0464338EC7E85252F94FCBC7B2BD00E438480D9AF3ADD92A92E3E2E8ACB55077C3278FC7503988A76E9B6062996B20889AA55B343D5A003C8A8852D738F955799FA3426BE5CCD3AA6B6EDA04D4884941FFC0B69C5ACF12B347A74D0580CC3335BA816200F87674A4C1D98097C70F2F27C74E94A661850610ECF4847AB5B58344F958C5719E06BA396225BBE21ACB0FDC512B885D391E11B0C0ED5CE6B5DD8FAFF91F50025C69D43072F7706D80D9FD786E1104125D79A5F4B5FD838815D44FC8B1AB678078CC174DDE970D448B
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+smlen = 3540
+sm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+
+count = 7
+seed = 8C151C556DA912A82DEB32144C8A8C9090CFAF5C12AB822AC3C72618837A41C2453B715EEFF3724CAFE69B1ADCAE9DDA
+mlen = 264
+msg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+sk = 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+
+count = 8
+seed = 9B42F41492530EAC81992F17613EFDF155F407D7E67F18AE193EDCE714D65D1031E7AD10839AAB46D0850EAF5997AB4D
+mlen = 297
+msg = 9366ED7B3B623C411448B634446F1A3FAABDD163A6CC1E2BCAE4A98703CD8CEE441405892FBA051BE2A586A6950A5EF73A255E5F86B0D7212E0C51C3BC79BE4B88E76ED6F043FEF3204FAF044BFB1ED722D61EB5D0B74C66A257E8AC3A2206273C80D2EC2123A4DBB715D60118D99ED7322E38F1562F82379138DA3DDB8BAA7CE61AB729AFC3748C0134633CF45A9973C05C75D04E82F631845427626B5799DC07DDF830BA01E8BC6236BB6D03B37D949DBB29EEC7DFE60FBC17EA590956D251539792016E2A8B01E70476961BC9ADA43CDA682D0CAA4FCC58810BBA1A673EF8F6BC90BAEE701E8E4F7C04A346CA56C7B2862FF57756CE6CD1EE22D677BCDAA896EAE96F87870E032C18B6C6A0C1A191FAE2ED487CE55296CC4B6339EAC9E8A742BD0A44C3525CC750
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+smlen = 3606
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+
+count = 9
+seed = 11134936880F5A11ED3504CF7B273E55A351FCCB10943BBBD186623EE6C7A13A6565C3080D1F536BFDB018F99C4E46CD
+mlen = 330
+msg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+smlen = 3639
+sm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
+
+count = 10
+seed = 98DDA6B97E89A479D5EE214E660DD6B5D8F6CC638A1CD4F462A0EC545F5B0B0A1A403AADF566F7B1C0C5FFCA29B36FCB
+mlen = 363
+msg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+smlen = 3672
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+
+count = 11
+seed = D34A0AAD27ECAD31A5E08E9A2D7901A9B85F864D9B1B46F40CDCA0B3615B2CBA04EF82AD7BD8CF627C3E861477030BE2
+mlen = 396
+msg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+smlen = 3705
+sm = 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+
+count = 12
+seed = 4FDA9FB6929E3F391901D69FA0AA2F25A9657D249A620F1B9E305A5965676BA76794CAD3355EB632579C3958CA7D443D
+mlen = 429
+msg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+smlen = 3738
+sm = 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
+
+count = 13
+seed = B0E6A23FAB10A7A333E3720BE00D31507917F39C5EFE1C98CA18BEB5C3101FB4479B478A1558C4C00398C55C9822FC44
+mlen = 462
+msg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+sk = 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+smlen = 3771
+sm = 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+
+count = 14
+seed = 0A98A2BD2B9FF42CFC18D3396BAD052E1D0F3372854DA69A318B142F7A1AAC609C3861263BD8FB0549DA7266784DB8B4
+mlen = 495
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+mlen = 528
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+
+count = 16
+seed = 5B485527C3B9A5E5B7579950049CD357975D4BCFEF83FE33C087ACBFCC10A0BE4225E7F8A5F77203B5FC7C0B5FC0E78B
+mlen = 561
+msg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+smlen = 3870
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+
+count = 17
+seed = 327CE565CFF6CD9A25EDD84F482FA0758B78CBC246567DAE98B818314AE28CD438E339043EB3FF16E1C2B4B104A717B8
+mlen = 594
+msg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+
+count = 18
+seed = 790FC03F956D1301A735504075B67A05944A762E0A4BDA77BB8C036C5CF911E2B561EC1CA6AA355D5CEC919AED42A1D2
+mlen = 627
+msg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+sm = 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+
+count = 19
+seed = 716354F7DEAE272CD26929C0932CA257AED1DD23D67260726B5213D82E61466FA99BB6A7D81DEE9D0EBE03DEEE4DBFC7
+mlen = 660
+msg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+count = 20
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+mlen = 693
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+
+count = 21
+seed = 5A64401EF8E63AEE18E8CC0162845DC7AF388230E86728ECB330007F2546F949764273EA05B397FE71F567E1527FA445
+mlen = 726
+msg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+smlen = 4035
+sm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+
+count = 22
+seed = 3222E4B55D6767E300FDE03DB3D8227E19FB8B08EA9B923FEDE18D699DC3694EFFA7C4DAE2AF57E4A0162B7C564199BD
+mlen = 759
+msg = 4C4697A7D8195BC7D4B8F2FCF3A7E9419E8FC9AC6BAFC5D658260511C697286BFE44E2CE98C21C98BE42E5AF0FCEEF8AA54C5770AF287A81C7481FE3391A6111AE6243D545B2A651599B45931D7640579F8659A8BD6F77260F235F71476ED64714FDDB70C549CBE089322130F7B0A21F530508970D55CBA55BAEACBEDF684C7979078102ECFFC2C3F182F710280CABC2DECD3D3B5D3CE908CB2307B00FCC0C5412A12AECD041B5F70CC0149390312B9C81592BB0E2ECE83D4495944E29AA798DE67FD69E2BD0695DC573F78D8BB48E6B8679E1C50D1E6E58E218B77EE51597EB43ECF7301D86F457353D60E98CEDC95B4A76844E889BF7E9D03503757569E40D55AB43D63293EDDBB579FE981FFD4DAB056F85006FFB5E759B9C16F5F6B235D7DD78458A73EF37118EDF599AA504E9DB9AB5DBC90B8E478F3DC1F35A7C4604A383BBBB410CFB2C5F746F83EF94BDB2F244D421818C26827D5B7D665B8A802181EB7A9CE95B6633E24D914FECA7E969F64038ACC3009B15168426EDB67AF2CCF4E859F5C616891D355F7910ACFA599C396BBB2D2782CBF1432E6259FAA77730B6B86FE0D67730152CD2AE0F9B0314048CCD25772C01FC9773EBF06618A8CE1E940F48663427775990CDC41C4DD3E9AC6EDA1EA50E04F1D329E64C8532A7AE32238C131753D60A25810A5FFBEAA9007A6984EF69EED92B777E079CE0FF48C2AEE9C18D1DB9F49B5419EC6C0E2212DDD2E2FDEAF0FE9F2B84D9C50DDE86A70FC28BBF8918A973CC67A36E97CE3027D73891E7AEB24BAF4B12A9DC8AAB5D6AFA380BFAC3703D2D32F1E40FBB532FD6D7D710DC0741DFC7EABFE55BA5C311A00E3BE55C2EE74155E3A06685071A962D7532AC76D59FC187EFF01F8D339F74323732168FA5D14F4B2A72C9164A04A6EF14BF5DEB1833E4BAA19A55AE590F542D4448E0EAFF0E0AFD2FB30FD671631B9325F4A0BAC9A43DCD2840185A2F601117A625B0DAD5503578537BE2A535D2F556F371536BCF68C0E01C96301F08E1567DBF9D8504096A8FD89C086DB695DA191099FD1E8EA94035276D1D
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+
+count = 23
+seed = F41B3C6225245C06455272A6A073F363E5F19F09A0B146AFCDFC2B3B0EA64BAA3F90359F32B2D1017608B03064E90AB2
+mlen = 792
+msg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+smlen = 4101
+sm = 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
+
+count = 24
+seed = A08AD391E0FC57A83B74CA8CF44DB67F8178262ED9B20AA0163CDD8274AC2BE05F558B112B094244370C1AAAB75077E6
+mlen = 825
+msg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+count = 25
+seed = 6E0A8EF5156D693FD0140BC4A31084E79773A83F42C8D133AC8A9D62DE3CD74511F893DCB26041E6B35E2B175408FCE7
+mlen = 858
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+smlen = 4167
+sm = 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+
+count = 26
+seed = 49CC05312D1DBE216FF03B60575017A6A1464C06D2C5A4A6F973AD9F275F7C66163A29A803BE759B117043862D277C27
+mlen = 891
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+
+count = 27
+seed = C33EE43A9CBB4347BFAF71147B7FBDD88D212462CB06FBE695A35402C503CD15732B7D0E8BF829A555B9167BCFA2F2BF
+mlen = 924
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+smlen = 4233
+sm = 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+
+count = 28
+seed = 19CB4BE2332F7FF0C078BC001FAB3C5FD8569A76EBCE373D1ED4FC8EB5D744C6464E2B5EECB9EE836CD5D87BEDA78BA7
+mlen = 957
+msg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+
+count = 29
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+mlen = 990
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+
+count = 30
+seed = 1787C82DA9F2E6CA9ACF7D6CCA70116A1724902C81EDC1439F332C74807AF2BCCCCDC7AC1788BA798520B2999F39DC3B
+mlen = 1023
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+
+count = 31
+seed = 9E6E12F025B2A57B0F5A3A9FA70396FC332E1802608E5CA07CC4FBA922F1FE5DEA6721B96F1BA2BFB97825A19F08FF2F
+mlen = 1056
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+
+count = 32
+seed = 569B8B9BDB707B19CD6F9BEB29F304D603C1509B9CF25987C280C342E870B1E13EFC7DD7E41DC85BF4F42D0493B84B0F
+mlen = 1089
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+smlen = 4398
+sm = 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+
+count = 33
+seed = F32C3715B0BA8C1D0BD59F0645E9697DFCF9AEAF761A71ECDF9672215B9F138C0502D7214F6B1BB4D6612432F9FBED5E
+mlen = 1122
+msg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+count = 35
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+mlen = 1188
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+sk = 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+smlen = 4497
+sm = 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+
+count = 36
+seed = C08E846A8E039C8655651919A8433D475F494899FB617DC3B4715DEF0C992C195CE38158B7FF40E0684B30FD7E623265
+mlen = 1221
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+count = 54
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+mlen = 1815
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+
+count = 55
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+mlen = 1848
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+mlen = 1881
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+
+count = 57
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+mlen = 1914
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+
+count = 58
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+mlen = 1947
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
+
+count = 59
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+mlen = 1980
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+
+count = 60
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+mlen = 2013
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+
+count = 62
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+mlen = 2079
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
+
+count = 63
+seed = EAA4FB8EF0290A499A1D92EE398A8D7E71CD3CBF01A36750DA4B7EFF175DA26D17AC4ECE49A84C88D1D2C2493563C26D
+mlen = 2112
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+
+count = 64
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+mlen = 2145
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+
+count = 65
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+mlen = 2178
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+
+count = 66
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+mlen = 2211
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+
+count = 67
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+mlen = 2244
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
+
+count = 68
+seed = DE9E2742591A5AF6A6153DA85A510C39FD31A2ACD8A8511F190A9A5E5753E63D9801A8019508E67DEB1E9219CC18BA3A
+mlen = 2277
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
+
+count = 69
+seed = 272E459EAB6A0BDF720E4C5B79E641C95BAB66C3CEE261D0E3596BB04D232ACE0A1CE24BACCAAE9037665A962C711B08
+mlen = 2310
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+
+count = 70
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+mlen = 2343
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+
+count = 71
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+mlen = 2376
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+
+count = 72
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+mlen = 2409
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+
+count = 73
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+mlen = 2442
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
+
+count = 74
+seed = 5DE03CAB3CBD81B8805A17E0FFC2105C3BCDC8D782EAAB161A15AAA543FED59353C1FBE03E7F36B955FC51C9B30F0C93
+mlen = 2475
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+
+count = 79
+seed = 8B47E0EBE786914C9A52D547106CEB4A3D3DE938B3244E02E5F9660954C4C95A23F2476FCCB487673AAD0513820905DF
+mlen = 2640
+msg = 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+count = 80
+seed = 07CD8F8AB7CD12EA7CC94103B8623D6F0FEA2BAFD2325BF6089DF5351BDBB9A94525C3C6B72D3820F2E4D5F9E7C849F8
+mlen = 2673
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+count = 81
+seed = 3D598F7C498D8A1095C40945975380554BEF6142578638A7627E2C0A21C59C579F8E8CDA309348FC54C764C899FB93E9
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+mlen = 2805
+msg = 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+
+count = 85
+seed = 30F0E117513AAF27AB2516BCEADD1188B4BBDE76E57DFAF43CBF2D70723D941E8F875C5EBF02BD7D67AE81ABCC54440A
+mlen = 2838
+msg = 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+
+count = 86
+seed = 070FFB907EE8AB7152A9D380DEA2C4C4796780FCFD80906C5E489B917A45D5E7EDFE6F37C4420E5480E8BB599FE36451
+mlen = 2871
+msg = 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+count = 87
+seed = EDBCC4F6AD0F30066947D678A368B960CCD164889D77730516B444ED2DF10B49C101902F5FA227377C3163A0045B34E4
+mlen = 2904
+msg = 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+count = 88
+seed = DEEE61A2FAC04E4D6B7A250124DFD91518D9B90A71FA02665E3088760BF69CB3CD7B6977F860A7026819D178623C9676
+mlen = 2937
+msg = 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+
+count = 89
+seed = DAB6C05E29342106CC34769BF419ADCC88010C05B57E673A503E63AE7A4EE55B72AB2CA86C4EF57FC8C02D2E0C8694A1
+mlen = 2970
+msg = 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+
+count = 90
+seed = 0CAF47BD9AABD7D09FFAD404449BBAB2E1D48E80AC78550831A365BED8765420DBBE9A566EFDF20D4E5233D7848582E4
+mlen = 3003
+msg = 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+mlen = 3036
+msg = 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+
+count = 92
+seed = 4D0788DE958A707899D5DCC02F756A10DEA2EFE0214F5E01B3281DF4E013CA75523ECEC64723D6C8BEC0B92C4F821D8F
+mlen = 3069
+msg = 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+
+count = 93
+seed = 55A9C7A0B49706090BC0702ECFC070AB060427FFC820C3FE05B499B59AEB125F2DB4787A5910B88C6F8FAF0A69BE0AE5
+mlen = 3102
+msg = 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+mlen = 3135
+msg = 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+count = 95
+seed = 2489C04BA57D149A60F446670C13C29998B52F3BAD548A751D7134B694DB25ABFA034FB4BA45E105AE27D575CBD02B99
+mlen = 3168
+msg = 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+
+count = 96
+seed = 26CF860726D4DFA38AE07399838BB336F1BEE59E9F23AE4C81E73D49964997EF21CB5F5412F9A70A1EC39FC6228C36CA
+mlen = 3201
+msg = 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+
+count = 97
+seed = 13F1F446D9AA5AC853278BF74C9E6447A6CE4294C037867F43DF554370EE261D05C7260EEBF46D6694D0850B8343FBE5
+mlen = 3234
+msg = 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+
+count = 98
+seed = 6F6E47E8336ADEE99B2C52CF2DC8D461E0A54C3DF2F08199A9F0816AF8455381054CE47A7766726D3AFC2E2F2BEAF8E8
+mlen = 3267
+msg = 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+count = 99
+seed = CB2E6226615393FC3BD4AB3A412AAA030AAD40E8648EE6B56D2C1591D8B97915D88F2D22F7221377B4B04CF2AE9ECC4E
+mlen = 3300
+msg = 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+smlen = 6609
+sm = E9821E1EBB6CF047A7E9919852165E30934F31C5A4B3DA3420455B24FB1697D912B80CC56045DF3832C03D3D5C290A9DF1EC80111BDD74A5E5A7269F103AAD13767E2215B538C7E23AE238DCB986FEDBDFB7BE23D8872CE276FA988BFA7785E6A9A4B4A5302D490FC2459A1869C518C641BE32EFE05E70A148FF7B895A5865C1FE65F2E9FB4BDB2F9003BCF46645EAE0810F599643E69A6C80457770B4E8E7F01AAA6C92950366889C59465A160E295A7EA017BE2D66112BF6327F04F52F351131E98CF8093462666764B9248C4AFDF272A46B41F438643CFB9E27F6E811BC39FB66F2BCF1280CAA0418BAD218598C4AC45D28840D2B4AAAA6142C7E3EE3E7304CFFA0070721935407DA5E3D6BB5FEEEA8D476CAC532B2F389A34CAEAA39DE91D8324E59B07C256D28FF220F8A98CECDAD4F96F2E8632F7226456FE6C063DA1128027BDECA3A79C71A5F98223BE91898910432E7D941F04855AEB09EEDEDA06D61B44177F99AF40C4862998F0D9D40FDA68A9679E9C0D71E574AEAF1E953A5E2A454A0439457D06B52EE3C95A2931EC9A93822B75AB6F1D7B65C56DC0F9117492577EFA52418D4FC3D1F3CF2A45522F36896E56F67F7C9D418791590CC838E59F335BCAD2E1A9288919192CC4D8B3B441638741CF6632505982FE9A3DA2BD1B1B7572D38F39918D97753AD8E3D04A19ECFD5DC06F3FD9503AE1F5674C5DA5F2836BE464D1E50F957906140A0EB801B74223F3EB2652E90DD0C21D9B948CC02A73B3A4EA58A0C409537648D8954CB971D3017926120442933171C473458A38B83A373CB2ADC6AF1413F0453AE2BAA00D12232A3EA2FDA821904B48BCA3501F77CF94F7216E6C1037BB55727C821389CFD9F63951E709B84D22C1F1CDAA493154F1C7AB9427AA69EB8A864B127DFBBF70A37AE3E1B09B8DED6BF9FF09CC063324BDA75FA6BEB288FDB482B71ADA6F9A1A80AFF0DFF242473458C5BD0793EA91CD645A9BE6BE9F77EB4330D3A68A7064FD8BDD63CE92DB97FBACC04493F2FF168D239DBA906A61B9A13FF504920AEF8B98F8EFBAD891CB9B89D74FB6D6BF9229FBF4F44CE8E41863F43984295ED77BB89341910A69B6D49D6EEBEA1E29FE495A8ABE32118380BC0E64F5345CE6C877E232F805F35B607E8A5A46A6603259206A1C40ACD31A3208612FC9B1F0CCF1D4659D3791484EA8F8E1830A0CA05EA80ED4497CFB1720E69D36024B77DFA9289AF7085C7AE0C7F5EE6530AF391BA2F849A1124CC2556EBA941635D90811E685BC2B0E54AFDD11CC5E7F78BD32E8B37F7CCCEF449AE098F7B34D78E42C9DA2C40E53CBC87DC1C2554B041B54F88322FD3744DD39F7CE848EA68AEAA631116B9746EC85E1F3647D1A3EC1B10F00B3B5C60B54B133D755F953CABBB88D3D0BF6F2DC7FEF4C7218ED2502A5E5B6F27C052BC07C4B794B8C97D7EF77468E211192DFF546387CCBB47228D5C99996034296773FD8A3A1B4E349C109A86F76A93BB3181DA59803675063658A1737658E6C9BC40064161908F24BF57391656387B94812D89AE8EBF679A9E6040AD549F85030D11DE610F73B6290768E17EB62F7210975B9FE047A0B02EB68F58734095078862DD9D35E100B5008BCFD01A1A28594461B8935444470F89E9DA3534BD11672E417B82A6BEBEEA76BA64923FADCBBF7CFB2C382CFEF157B2D3970CF7FDBA854A1BC41BC70EA083AEC2EBC14D7BA65C3B220B5E3F1908D2C63B42DF2B6D43BC1D222753EB39DE63709EBFAC42327718F096CA7C2DB300DECC5C56DB1F554C8018D7E674A06E8596B9903A6FBD41E7142EBF71479C9CD2670C03E2FD02BBAC4DFA2FF559B8F19D2C5F063292F9493B3357A83959D406C6E5FF06DD9FE00C89A5422562F82347A5ABD9AA1B5ED4DC427327F7D9D605C8D34073E1690FBF6AA58DE9AA34F8B126670B223A6A0FE0EA1A7B1B15A00D28880F18CAF624C30A7C908270C267885002D7382B61C575729F574FDA3E9EF2D1528674B7D23DF8E392128EEE346D67D4D7D3C4DD4A8B95FC0FCE7A1BBD4A6017840FDE3BD0F04D6D9A892BC975BD54FD4DFD9FA06D9719B6DFB224470D18FD81B1CE3D562169C5B6FF14AE7F23212A94798A69B106B041D5A4513813D305D72A8D0C1F2B8E0929CBC0E10705E7CAD1399012A7EC3CFCE1930400D4B053552FFC5792047054B877A02129FC3C4CFDF77E7EE2EABB769E8E925F2850413007BA5B1B54F7E3611776C649E9D581F378B589E9E8350BD3DB0F732C0D9B1ADC422F53F1CFCD1669BC0302E0ADF624B284B95520484C5633EFF23CF817B3BF14BB97053ECE0EB7092531ED3EE56662A2FC57240CEA5032F24E9068764F3B7D47F8E6717EFE0EEE2421CE5E3C277D4B20004595B7AB79165BB9CB3A66F0682AB26999E3D3A10D025A0B0A69440ED45116CFD989FAB45453AC54529776830B6B721C35B812D29315E67BABA3538FBE4A9270A7B19175CB250E820CDE7256469028F9221338EC6359A72B3BA94DEE7D652D878B17E9F48DAA1B43295451A38E8EF689088A73AEC19C0A013E9CF4E55B606E6554A7F1158B65C44A788C0D2EA833EEB21EB535A00CC8E8D375D1E32C571A7BC3A3E0344AF2654A356ED2AC63DE44EE4160ABCB8B956D40B7EF8084F539FC568C79F03BE21832AAAE0CFCA41363E639460B433BB2695BCFAE481E2D1C97572A0C69D9D84DCD98DBEF893D20D4A56891FF5186B15E6A086DFF93BC3D7422EA72075F446E527207C9F29C84CEFF034AC701C77F1262BC57E342237F1C8E2A8DD29B42E258E0D9D5BEB541466289AB606876678077741209590DE8736A9B4C1265471ACAF2F2D11DAD96E0E57D4707228F86D5D271D64378676E1C09E343EB9E5BF4676A0012F796AA9E12BDD0D9B1D1970383A3C6A0C345BB096FE24841AA91895DDC3DDB2D0E59AC8A0AF7A0B46318D9F9012BE253E9CBB1028C5EE52813BC7118B982B3EAF090CADF0FAC9266740BD6B346EFAF3C34084C4566B607308E9DE8EDA8D65BE7D6820473A23D7F717C5DAA9395456B2A6837E31601F7E26750D89B2690206229637C9C117F4F69D3DFD2639959C0AFA38C9090C394CE481B73921F8AA65B2C85ACB0EFDABDE29399068D4A6D15CAB86CAFF50F236D23652137C8CBA2FF7B37929A23752EE6220B0DF6197028CFC7B6296FFAD95A7EC03568E8288C5DFB85D4FB09710E7B28A4C926DA50B7C3FA29A540CFCE9B51DE65299A83684628C115C362DEDFDA49E008011B78298B2292D2943BB4E66FF8A08717EC6C1E21B6803B9103622C2048DCAA11E6A3991CCBACBB2B70557FCD46A3B0E094F329306F12BCF0F3034203B070A6F285811DF322EE4DCA54A215E06481145769242F80EAD907FBD9B4BB44F5FBBDB4FFD940F230B12743EAEC82E6B86EE6A2210938EEA8FE938F48F6B82C64ADDAEEF68D70B8B65DAAF219414488F553B0683B7ADF79DDB06C9C59E2FFB507945E278367E476C7621D066977ED1A26BEA9B6E92200F5557D7CEAE076774E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70CCEE6B859236AD5DA5F1730129EDC7BE218BA9874620F6F0EBC45E0BD622F8FD1AE6974994AF95C6519EC1C46650C073D194FA6EBC62F405F63A3416782A47872C7D77D648D0A1C802FFDFDE5FDC112C94CFC68F401889EFC522FE488FDB5384C0D93147AB6587659D936F98ECFBCDCFBF8B352D605F18C855E2559743ED97991C5D50DF44A7B929303835654A3955ABC5BEE6327400A7CCCE460B318D8B5ECE5B12F606ADB3D7B5ED59563B8E675E78029AABC234442C2463256FE02B04F556DA35C4615D14A9F4EFF17DB0DB81DE4BDD894F6628A120BE2D4CF3E1F46D53817899657035A76137E23C0B0E8DDD29465D7F15628FD435E6CAACA4194FDBF85FDCC31D5DAFCB52568B7C0CFBE713BC85FA424BA3ABE149E4035FC86807A8B876D2163B447CAD5EC0E6EF38A1D591AFB46267F9DBF142CAB1CAC1F73BEBA212992FC6D4647EC17848D1ADBB1901277A5078DD72D9C9184E893C0806E9B4AFF0A824670D438620F2A7E8D2965B619D291E5824C014FC888A36FBBE17356431F0039038F9B497902AED969F9C488390B7087763638E976801127BAF1F53803C4DC9649F0EE85D67B239E2BDAFB2BD75F1D1DA22A56FB3AF10A9DDE7AD306C4AF8681029316C0E1949228E6BF5ADF942F1C0EF92B2BCBC0C70D49E5808851444240A78B14D21B54F66271482F49B85F5180B268050327368496CFA8B54ECB97EE6D28EB74A3742F68583DA046809002C22F7B31FBC0566969F9A15CDCA892C4BEB101A2AC3526C76E9D30982C9B4893450FDEC4001D2431828D24D8B1A67DF80E2E10ED2EA8D723227055C48006665F7DA8E032EFDC70BC7EEB2B369B551FAC542AD6DF1A23107E2B3C0E3CCACC25F26404C085CBF56E52D35D7948DB9FDA6DFC24709994719D8CED41A2CC9B3C4B2BEF0967CB71861CF0E6AEA9BEC9395726AA0E2F1A7247ED0F6038E3DF4BF566786073590DCF97F8F0A99658D8F630A2D130C46CF4D26C669360D0F70B75F904C9F923AB285D5DB129F6C25AD21F9E26AC844D07A8EED86C4E224EBFC5B3F720D6F94B0A01B1433C46B40CF84E80F7A6AFA7BB8F9ACF818AD3CAB2DDD6904C067BEA4F1FE79B83CB0AA8FC75B6B096BAD6FE94ABFD48F8EFC0F2B9A02EBDA8FDBDBE1C77F1854EDBA18AAE7F31CED9CD34C1B355108DF18A8953932F7554AF05B203A96A9BB93E0EFF51D7F93B56E351562CF85A2D35EAE2C2427B89A8662A1C723D4F14E6EAFDBD636C2BB7ADE29C1A6BC8A463734C808BEC68B1E9A31AF6E29B412F1CB8C90A9911AC5C3EA71E46113D2D7B1AE2D8802B06A770FD0E9E4652895E42181AD09BB541E9493F258711BB7BEDD3E7CA8B8CE875669CF80A6880ECA3F13800DE7011EA67F443E505C4FB455608AE586F922B3C83FD33B306BDEDB86223C33E3AA65EDC93CBCF3A03ADAF9F328997951D59A9200C0BA2618E3596AF176B43122CEDC52B1E006EA6D12DC236A6FCD7CC46825F2EF7ED71683A731D746FFF2FE54E0B392A8CBFA38873196BB2B835DCA7CB7C3ED9A004C7A329B9734A111744BDACDB669E69E9DF1E52F07C513E3752A0CCD81D7DDC4A64868B7BB2BBBD2095373480522BE10615248A179DCB61DAC90F7FA5FA9B84F190A9C62B5FF9CD473A940F03E7107157D7EB60AF1E3E384FFE8A67DCB2389B3B0FAB7C789CF100CA95CD6A85442CB9A2C243FB9D454B20BAE5762D72B8FE79B4DF81163D61DE4578CF976992D8B9989FC68089F811F53DB1E1092B60220552876B818BEA981571898CD6AB7B5F13C46B0A076526E3241D65014F855EFD7BDE08AD91F259DCB64E94EC3DAD97811EB024EE1D341521DC92AE5E93C73422088976F2D27D64E1D193B955E6736AD2BCCF3C1A53D590576434ACBC0B687F27F255FEF354E68ACA47160EFA7126F908E08E4548C11546D9C412D685FA84D2EB4DCB2BDFC48E2FA8023548198EBB072A48044F4391143E3BEF4FF9066A4B0D03ADC826819D67588BA84F99DA27424103652ACC039DDD3B567851CD78E4117A8B93AFE01FC8EEBDAA1ACB8BA9D095789E76B9D5AB9EE177A15D666EF171FE1D4BDCCFE2E58CE669B561F63028C6CE26DB5C8182FE048680B175C7AB407215FF3A7801C950D509867AB1B0BEF89B3E38A387915225EDE76F91AAD15A85D8C46EFD588BB3BAACBC52C036211512473420F3F061F5F53E9353DE0780425745A76439B3811511C86CA503251F24113384E1A24A9367536E796CE08B896F572489A2339E82A856C
+
diff --git a/src/crypto/dilithium/internal.h b/src/crypto/dilithium/internal.h
new file mode 100644
index 0000000..5b2d90a
--- /dev/null
+++ b/src/crypto/dilithium/internal.h
@@ -0,0 +1,58 @@
+/* Copyright (c) 2023, Google LLC
+ *
+ * Permission to use, copy, modify, and/or distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+ * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
+ * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+ * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
+
+#ifndef OPENSSL_HEADER_CRYPTO_DILITHIUM_INTERNAL_H
+#define OPENSSL_HEADER_CRYPTO_DILITHIUM_INTERNAL_H
+
+#include <openssl/base.h>
+#include <openssl/experimental/dilithium.h>
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+
+// DILITHIUM_GENERATE_KEY_ENTROPY is the number of bytes of uniformly random
+// entropy necessary to generate a key pair.
+#define DILITHIUM_GENERATE_KEY_ENTROPY 32
+
+// DILITHIUM_SIGNATURE_RANDOMIZER_BYTES is the number of bytes of uniformly
+// random entropy necessary to generate a signature in randomized mode.
+#define DILITHIUM_SIGNATURE_RANDOMIZER_BYTES 32
+
+// DILITHIUM_generate_key_external_entropy generates a public/private key pair
+// using the given seed, writes the encoded public key to
+// |out_encoded_public_key| and sets |out_private_key| to the private key,
+// returning 1 on success and 0 on failure. Returns 1 on success and 0 on
+// failure.
+OPENSSL_EXPORT int DILITHIUM_generate_key_external_entropy(
+ uint8_t out_encoded_public_key[DILITHIUM_PUBLIC_KEY_BYTES],
+ struct DILITHIUM_private_key *out_private_key,
+ const uint8_t entropy[DILITHIUM_GENERATE_KEY_ENTROPY]);
+
+// DILITHIUM_sign_deterministic generates a signature for the message |msg| of
+// length |msg_len| using |private_key| following the deterministic algorithm,
+// and writes the encoded signature to |out_encoded_signature|. Returns 1 on
+// success and 0 on failure.
+OPENSSL_EXPORT int DILITHIUM_sign_deterministic(
+ uint8_t out_encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const struct DILITHIUM_private_key *private_key, const uint8_t *msg,
+ size_t msg_len);
+
+
+#if defined(__cplusplus)
+} // extern C
+#endif
+
+#endif // OPENSSL_HEADER_CRYPTO_DILITHIUM_INTERNAL_H
diff --git a/src/gen/sources.bzl b/src/gen/sources.bzl
index 7717b76..bb42d2c 100644
--- a/src/gen/sources.bzl
+++ b/src/gen/sources.bzl
@@ -330,6 +330,7 @@
"crypto/dh_extra/dh_asn1.c",
"crypto/dh_extra/params.c",
"crypto/digest_extra/digest_extra.c",
+ "crypto/dilithium/dilithium.c",
"crypto/dsa/dsa.c",
"crypto/dsa/dsa_asn1.c",
"crypto/ec_extra/ec_asn1.c",
@@ -527,6 +528,7 @@
"include/openssl/evp.h",
"include/openssl/evp_errors.h",
"include/openssl/ex_data.h",
+ "include/openssl/experimental/dilithium.h",
"include/openssl/experimental/kyber.h",
"include/openssl/experimental/spx.h",
"include/openssl/hkdf.h",
@@ -586,6 +588,7 @@
"crypto/curve25519/curve25519_tables.h",
"crypto/curve25519/internal.h",
"crypto/des/internal.h",
+ "crypto/dilithium/internal.h",
"crypto/dsa/internal.h",
"crypto/ec_extra/internal.h",
"crypto/err/internal.h",
@@ -696,6 +699,7 @@
"crypto/curve25519/x25519_test.cc",
"crypto/dh_extra/dh_test.cc",
"crypto/digest_extra/digest_test.cc",
+ "crypto/dilithium/dilithium_test.cc",
"crypto/dsa/dsa_test.cc",
"crypto/ecdh_extra/ecdh_test.cc",
"crypto/err/err_test.cc",
@@ -781,6 +785,7 @@
"crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt",
"crypto/cipher_extra/test/xchacha20_poly1305_tests.txt",
"crypto/curve25519/ed25519_tests.txt",
+ "crypto/dilithium/dilithium_tests.txt",
"crypto/ecdh_extra/ecdh_tests.txt",
"crypto/evp/evp_tests.txt",
"crypto/evp/scrypt_tests.txt",
diff --git a/src/gen/sources.cmake b/src/gen/sources.cmake
index a050003..643cb18 100644
--- a/src/gen/sources.cmake
+++ b/src/gen/sources.cmake
@@ -344,6 +344,7 @@
crypto/dh_extra/dh_asn1.c
crypto/dh_extra/params.c
crypto/digest_extra/digest_extra.c
+ crypto/dilithium/dilithium.c
crypto/dsa/dsa.c
crypto/dsa/dsa_asn1.c
crypto/ec_extra/ec_asn1.c
@@ -543,6 +544,7 @@
include/openssl/evp.h
include/openssl/evp_errors.h
include/openssl/ex_data.h
+ include/openssl/experimental/dilithium.h
include/openssl/experimental/kyber.h
include/openssl/experimental/spx.h
include/openssl/hkdf.h
@@ -604,6 +606,7 @@
crypto/curve25519/curve25519_tables.h
crypto/curve25519/internal.h
crypto/des/internal.h
+ crypto/dilithium/internal.h
crypto/dsa/internal.h
crypto/ec_extra/internal.h
crypto/err/internal.h
@@ -720,6 +723,7 @@
crypto/curve25519/x25519_test.cc
crypto/dh_extra/dh_test.cc
crypto/digest_extra/digest_test.cc
+ crypto/dilithium/dilithium_test.cc
crypto/dsa/dsa_test.cc
crypto/ecdh_extra/ecdh_test.cc
crypto/err/err_test.cc
@@ -807,6 +811,7 @@
crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt
crypto/cipher_extra/test/xchacha20_poly1305_tests.txt
crypto/curve25519/ed25519_tests.txt
+ crypto/dilithium/dilithium_tests.txt
crypto/ecdh_extra/ecdh_tests.txt
crypto/evp/evp_tests.txt
crypto/evp/scrypt_tests.txt
diff --git a/src/gen/sources.json b/src/gen/sources.json
index c77f70f..c4e542f 100644
--- a/src/gen/sources.json
+++ b/src/gen/sources.json
@@ -314,6 +314,7 @@
"crypto/dh_extra/dh_asn1.c",
"crypto/dh_extra/params.c",
"crypto/digest_extra/digest_extra.c",
+ "crypto/dilithium/dilithium.c",
"crypto/dsa/dsa.c",
"crypto/dsa/dsa_asn1.c",
"crypto/ec_extra/ec_asn1.c",
@@ -510,6 +511,7 @@
"include/openssl/evp.h",
"include/openssl/evp_errors.h",
"include/openssl/ex_data.h",
+ "include/openssl/experimental/dilithium.h",
"include/openssl/experimental/kyber.h",
"include/openssl/experimental/spx.h",
"include/openssl/hkdf.h",
@@ -568,6 +570,7 @@
"crypto/curve25519/curve25519_tables.h",
"crypto/curve25519/internal.h",
"crypto/des/internal.h",
+ "crypto/dilithium/internal.h",
"crypto/dsa/internal.h",
"crypto/ec_extra/internal.h",
"crypto/err/internal.h",
@@ -677,6 +680,7 @@
"crypto/curve25519/x25519_test.cc",
"crypto/dh_extra/dh_test.cc",
"crypto/digest_extra/digest_test.cc",
+ "crypto/dilithium/dilithium_test.cc",
"crypto/dsa/dsa_test.cc",
"crypto/ecdh_extra/ecdh_test.cc",
"crypto/err/err_test.cc",
@@ -761,6 +765,7 @@
"crypto/cipher_extra/test/nist_cavp/tdes_ecb.txt",
"crypto/cipher_extra/test/xchacha20_poly1305_tests.txt",
"crypto/curve25519/ed25519_tests.txt",
+ "crypto/dilithium/dilithium_tests.txt",
"crypto/ecdh_extra/ecdh_tests.txt",
"crypto/evp/evp_tests.txt",
"crypto/evp/scrypt_tests.txt",
diff --git a/src/include/openssl/experimental/dilithium.h b/src/include/openssl/experimental/dilithium.h
new file mode 100644
index 0000000..72e79bd
--- /dev/null
+++ b/src/include/openssl/experimental/dilithium.h
@@ -0,0 +1,125 @@
+/* Copyright (c) 2023, Google LLC
+ *
+ * Permission to use, copy, modify, and/or distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
+ * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
+ * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
+ * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
+
+#ifndef OPENSSL_HEADER_DILITHIUM_H
+#define OPENSSL_HEADER_DILITHIUM_H
+
+#include <openssl/base.h>
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+
+#if defined(OPENSSL_UNSTABLE_EXPERIMENTAL_DILITHIUM)
+// This header implements experimental, draft versions of not-yet-standardized
+// primitives. When the standard is complete, these functions will be removed
+// and replaced with the final, incompatible standard version. They are
+// available now for short-lived experiments, but must not be deployed anywhere
+// durable, such as a long-lived key store. To use these functions define
+// OPENSSL_UNSTABLE_EXPERIMENTAL_DILITHIUM.
+
+// Dilithium3.
+
+
+// DILITHIUM_private_key contains a Dilithium3 private key. The contents of this
+// object should never leave the address space since the format is unstable.
+struct DILITHIUM_private_key {
+ union {
+ uint8_t bytes[32 + 32 + 64 + 256 * 4 * (5 + 6 + 6)];
+ uint32_t alignment;
+ } opaque;
+};
+
+// DILITHIUM_public_key contains a Dilithium3 public key. The contents of this
+// object should never leave the address space since the format is unstable.
+struct DILITHIUM_public_key {
+ union {
+ uint8_t bytes[32 + 64 + 256 * 4 * 6];
+ uint32_t alignment;
+ } opaque;
+};
+
+// DILITHIUM_PRIVATE_KEY_BYTES is the number of bytes in an encoded Dilithium3
+// private key.
+#define DILITHIUM_PRIVATE_KEY_BYTES 4032
+
+// DILITHIUM_PUBLIC_KEY_BYTES is the number of bytes in an encoded Dilithium3
+// public key.
+#define DILITHIUM_PUBLIC_KEY_BYTES 1952
+
+// DILITHIUM_SIGNATURE_BYTES is the number of bytes in an encoded Dilithium3
+// signature.
+#define DILITHIUM_SIGNATURE_BYTES 3309
+
+// DILITHIUM_generate_key generates a random public/private key pair, writes the
+// encoded public key to |out_encoded_public_key| and sets |out_private_key| to
+// the private key. Returns 1 on success and 0 on failure.
+OPENSSL_EXPORT int DILITHIUM_generate_key(
+ uint8_t out_encoded_public_key[DILITHIUM_PUBLIC_KEY_BYTES],
+ struct DILITHIUM_private_key *out_private_key);
+
+// DILITHIUM_sign generates a signature for the message |msg| of length
+// |msg_len| using |private_key| following the randomized algorithm, and writes
+// the encoded signature to |out_encoded_signature|. Returns 1 on success and 0
+// on failure.
+OPENSSL_EXPORT int DILITHIUM_sign(
+ uint8_t out_encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const struct DILITHIUM_private_key *private_key, const uint8_t *msg,
+ size_t msg_len);
+
+// DILITHIUM_verify verifies that |encoded_signature| constitutes a valid
+// signature for the message |msg| of length |msg_len| using |public_key|.
+OPENSSL_EXPORT int DILITHIUM_verify(
+ const struct DILITHIUM_public_key *public_key,
+ const uint8_t encoded_signature[DILITHIUM_SIGNATURE_BYTES],
+ const uint8_t *msg, size_t msg_len);
+
+
+// Serialisation of keys.
+
+// DILITHIUM_marshal_public_key serializes |public_key| to |out| in the standard
+// format for Dilithium public keys. It returns one on success or zero on
+// allocation error.
+OPENSSL_EXPORT int DILITHIUM_marshal_public_key(
+ CBB *out, const struct DILITHIUM_public_key *public_key);
+
+// DILITHIUM_parse_public_key parses a public key, in the format generated by
+// |DILITHIUM_marshal_public_key|, from |in| and writes the result to
+// |out_public_key|. It returns one on success or zero on parse error or if
+// there are trailing bytes in |in|.
+OPENSSL_EXPORT int DILITHIUM_parse_public_key(
+ struct DILITHIUM_public_key *public_key, CBS *in);
+
+// DILITHIUM_marshal_private_key serializes |private_key| to |out| in the
+// standard format for Dilithium private keys. It returns one on success or zero
+// on allocation error.
+OPENSSL_EXPORT int DILITHIUM_marshal_private_key(
+ CBB *out, const struct DILITHIUM_private_key *private_key);
+
+// DILITHIUM_parse_private_key parses a private key, in the format generated by
+// |DILITHIUM_marshal_private_key|, from |in| and writes the result to
+// |out_private_key|. It returns one on success or zero on parse error or if
+// there are trailing bytes in |in|.
+OPENSSL_EXPORT int DILITHIUM_parse_private_key(
+ struct DILITHIUM_private_key *private_key, CBS *in);
+
+#endif // OPENSSL_UNSTABLE_EXPERIMENTAL_DILITHIUM
+
+
+#if defined(__cplusplus)
+} // extern C
+#endif
+
+#endif // OPENSSL_HEADER_DILITHIUM_H
diff --git a/src/tool/speed.cc b/src/tool/speed.cc
index d3cc87e..827911c 100644
--- a/src/tool/speed.cc
+++ b/src/tool/speed.cc
@@ -40,6 +40,8 @@
#include <openssl/ecdsa.h>
#include <openssl/err.h>
#include <openssl/evp.h>
+#define OPENSSL_UNSTABLE_EXPERIMENTAL_DILITHIUM
+#include <openssl/experimental/dilithium.h>
#define OPENSSL_UNSTABLE_EXPERIMENTAL_SPX
#include <openssl/experimental/kyber.h>
#include <openssl/experimental/spx.h>
@@ -1131,6 +1133,117 @@
return true;
}
+static bool SpeedDilithium(const std::string &selected) {
+ if (!selected.empty() && selected != "Dilithium") {
+ return true;
+ }
+
+ TimeResults results;
+
+ auto encoded_public_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PUBLIC_KEY_BYTES);
+ auto priv = std::make_unique<DILITHIUM_private_key>();
+ if (!TimeFunctionParallel(&results, [&]() -> bool {
+ if (!DILITHIUM_generate_key(encoded_public_key.get(), priv.get())) {
+ fprintf(stderr, "Failure in DILITHIUM_generate_key.\n");
+ return false;
+ }
+ return true;
+ })) {
+ fprintf(stderr, "Failed to time DILITHIUM_generate_key.\n");
+ return false;
+ }
+
+ results.Print("Dilithium key generation");
+
+ auto encoded_private_key =
+ std::make_unique<uint8_t[]>(DILITHIUM_PRIVATE_KEY_BYTES);
+ CBB cbb;
+ CBB_init_fixed(&cbb, encoded_private_key.get(), DILITHIUM_PRIVATE_KEY_BYTES);
+ DILITHIUM_marshal_private_key(&cbb, priv.get());
+
+ if (!TimeFunctionParallel(&results, [&]() -> bool {
+ CBS cbs;
+ CBS_init(&cbs, encoded_private_key.get(), DILITHIUM_PRIVATE_KEY_BYTES);
+ if (!DILITHIUM_parse_private_key(priv.get(), &cbs)) {
+ fprintf(stderr, "Failure in DILITHIUM_parse_private_key.\n");
+ return false;
+ }
+ return true;
+ })) {
+ fprintf(stderr, "Failed to time DILITHIUM_parse_private_key.\n");
+ return false;
+ }
+
+ results.Print("Dilithium parse (valid) private key");
+
+ const char *message = "Hello world";
+ size_t message_len = strlen(message);
+ auto out_encoded_signature =
+ std::make_unique<uint8_t[]>(DILITHIUM_SIGNATURE_BYTES);
+ if (!TimeFunctionParallel(&results, [&]() -> bool {
+ if (!DILITHIUM_sign(out_encoded_signature.get(), priv.get(),
+ (const uint8_t *)message, message_len)) {
+ fprintf(stderr, "Failure in DILITHIUM_sign.\n");
+ return false;
+ }
+ return true;
+ })) {
+ fprintf(stderr, "Failed to time DILITHIUM_sign.\n");
+ return false;
+ }
+
+ results.Print("Dilithium sign (randomized)");
+
+ auto pub = std::make_unique<DILITHIUM_public_key>();
+
+ if (!TimeFunctionParallel(&results, [&]() -> bool {
+ CBS cbs;
+ CBS_init(&cbs, encoded_public_key.get(), DILITHIUM_PUBLIC_KEY_BYTES);
+ if (!DILITHIUM_parse_public_key(pub.get(), &cbs)) {
+ fprintf(stderr, "Failure in DILITHIUM_parse_public_key.\n");
+ return false;
+ }
+ return true;
+ })) {
+ fprintf(stderr, "Failed to time DILITHIUM_parse_public_key.\n");
+ return false;
+ }
+
+ results.Print("Dilithium parse (valid) public key");
+
+ if (!TimeFunctionParallel(&results, [&]() -> bool {
+ if (!DILITHIUM_verify(pub.get(), out_encoded_signature.get(),
+ (const uint8_t *)message, message_len)) {
+ fprintf(stderr, "Failed to verify Dilithium signature.\n");
+ return false;
+ }
+ return true;
+ })) {
+ fprintf(stderr, "Failed to time DILITHIUM_verify.\n");
+ return false;
+ }
+
+ results.Print("Dilithium verify (valid signature)");
+
+ out_encoded_signature[42] ^= 0x42;
+ if (!TimeFunctionParallel(&results, [&]() -> bool {
+ if (DILITHIUM_verify(pub.get(), out_encoded_signature.get(),
+ (const uint8_t *)message, message_len)) {
+ fprintf(stderr, "Dilithium signature unexpectedly verified.\n");
+ return false;
+ }
+ return true;
+ })) {
+ fprintf(stderr, "Failed to time DILITHIUM_verify.\n");
+ return false;
+ }
+
+ results.Print("Dilithium verify (invalid signature)");
+
+ return true;
+}
+
static bool SpeedSpx(const std::string &selected) {
if (!selected.empty() && selected.find("spx") == std::string::npos) {
return true;
@@ -1665,6 +1778,7 @@
!SpeedRSAKeyGen(selected) || //
!SpeedHRSS(selected) || //
!SpeedKyber(selected) || //
+ !SpeedDilithium(selected) || //
!SpeedSpx(selected) || //
!SpeedHashToCurve(selected) || //
!SpeedTrustToken("TrustToken-Exp1-Batch1", TRUST_TOKEN_experiment_v1(), 1,
diff --git a/src/util/doc.config b/src/util/doc.config
index 213831a..4beae13 100644
--- a/src/util/doc.config
+++ b/src/util/doc.config
@@ -62,6 +62,7 @@
},{
"Name": "Experimental primitives. Will be removed and replaced when standardized!",
"Headers": [
+ "include/openssl/experimental/dilithium.h",
"include/openssl/experimental/kyber.h",
"include/openssl/experimental/spx.h"
]
