diff --git a/crypto/x509/asn1_gen.c b/crypto/x509/asn1_gen.c
index 6dcf129..3704808 100644
--- a/crypto/x509/asn1_gen.c
+++ b/crypto/x509/asn1_gen.c
@@ -541,7 +541,16 @@
   CBS_init(&cbs, (const uint8_t *)elem, len);
   uint64_t bitnum;
   if (!CBS_get_u64_decimal(&cbs, &bitnum) || CBS_len(&cbs) != 0 ||
-      bitnum > INT_MAX) {
+      // Cap the highest allowed bit so this mechanism cannot be used to create
+      // extremely large allocations with short inputs. The highest named bit in
+      // RFC 5280 is 8, so 256 should give comfortable margin but still only
+      // allow a 32-byte allocation.
+      //
+      // We do not consider this function to be safe with untrusted inputs (even
+      // without bugs, it is prone to string injection vulnerabilities), so DoS
+      // is not truly a concern, but the limit is necessary to keep fuzzing
+      // effective.
+      bitnum > 256) {
     OPENSSL_PUT_ERROR(ASN1, ASN1_R_INVALID_NUMBER);
     return 0;
   }
diff --git a/crypto/x509/x509_test.cc b/crypto/x509/x509_test.cc
index 9abe953..cd231c8 100644
--- a/crypto/x509/x509_test.cc
+++ b/crypto/x509/x509_test.cc
@@ -6074,8 +6074,18 @@
         0x01, 0x84, 0xb7, 0x09, 0x02, 0x04, 0x04, 0x03, 0x02, 0x02, 0x44}},
 
       {kTestOID, "ASN1:FORMAT:BITLIST,BITSTR:1,invalid,5", nullptr, {}},
-      // Overflow.
-      {kTestOID, "ASN1:FORMAT:BITLIST,BITSTR:4294967296", nullptr, {}},
+      // Negative bit inidices are not allowed.
+      {kTestOID, "ASN1:FORMAT:BITLIST,BITSTR:-1", nullptr, {}},
+      // We cap bit indices at 256.
+      {kTestOID, "ASN1:FORMAT:BITLIST,BITSTR:257", nullptr, {}},
+      {kTestOID,
+       "ASN1:FORMAT:BITLIST,BITSTR:256",
+       nullptr,
+       {0x30, 0x34, 0x06, 0x0c, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x12, 0x04,
+        0x01, 0x84, 0xb7, 0x09, 0x02, 0x04, 0x24, 0x03, 0x22, 0x07, 0x00,
+        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+        0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80}},
 
       // Unsupported formats for string types.
       {kTestOID, "ASN1:FORMAT:BITLIST,IA5:abcd", nullptr, {}},