{
  "algorithm" : "X25519",
  "generatorVersion" : "0.4.6",
  "notes" : {
    "LowOrderPublic" : "Curve25519 or its twist contains some points of low order. This test vector contains a public key with such a point. While many libraries reject such public keys, doing so is not a strict requirement according to RFC 7748.",
    "Small public key" : "The public key is insecure and does not belong to a valid private key. Some libraries reject such keys.",
    "Twist" : "Public keys are either points on curve25519 or points on its twist. Implementations may either reject such keys or compute X25519 using the twist. If a point multiplication is performed then it is important that the result is correct, since otherwise attacks with invalid keys are possible."
  },
  "numberOfTests" : 87,
  "header" : [],
  "testGroups" : [
    {
      "curve" : "curve25519",
      "tests" : [
        {
          "tcId" : 1,
          "comment" : "normal case",
          "curve" : "curve25519",
          "public" : "9c647d9ae589b9f58fdc3ca4947efbc915c4b2e08e744a0edf469dac59c8f85a",
          "private" : "4852834d9d6b77dadeabaaf2e11dca66d19fe74993a7bec36c6e16a0983feaba",
          "shared" : "87b7f212b627f7a54ca5e0bcdaddd5389d9de6156cdbcf8ebe14ffbcfb436551",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 2,
          "comment" : "normal case",
          "curve" : "curve25519",
          "public" : "9c647d9ae589b9f58fdc3ca4947efbc915c4b2e08e744a0edf469dac59c8f85a",
          "private" : "1064a67da639a8f6df4fbea2d63358b65bca80a770712e14ea8a72df5a3313ae",
          "shared" : "4b82bd8650ea9b81a42181840926a4ffa16434d1bf298de1db87efb5b0a9e34e",
          "result" : "valid",
          "flags" : [
            "LowOrderPublic"
          ]
        },
        {
          "tcId" : 3,
          "comment" : "public key on twist",
          "curve" : "curve25519",
          "public" : "63aa40c6e38346c5caf23a6df0a5e6c80889a08647e551b3563449befcfc9733",
          "private" : "588c061a50804ac488ad774ac716c3f5ba714b2712e048491379a500211998a8",
          "shared" : "b1a707519495ffffb298ff941716b06dfab87cf8d91123fe2be9a233dda22212",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 4,
          "comment" : "public key on twist",
          "curve" : "curve25519",
          "public" : "0f83c36fded9d32fadf4efa3ae93a90bb5cfa66893bc412c43fa7287dbb99779",
          "private" : "b05bfd32e55325d9fd648cb302848039000b390e44d521e58aab3b29a6960ba8",
          "shared" : "67dd4a6e165533534c0e3f172e4ab8576bca923a5f07b2c069b4c310ff2e935b",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 5,
          "comment" : "public key on twist",
          "curve" : "curve25519",
          "public" : "0b8211a2b6049097f6871c6c052d3c5fc1ba17da9e32ae458403b05bb283092a",
          "private" : "70e34bcbe1f47fbc0fddfd7c1e1aa53d57bfe0f66d243067b424bb6210bed19c",
          "shared" : "4a0638cfaa9ef1933b47f8939296a6b25be541ef7f70e844c0bcc00b134de64a",
          "result" : "acceptable",
          "flags" : [
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          ]
        },
        {
          "tcId" : 6,
          "comment" : "public key on twist",
          "curve" : "curve25519",
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          "shared" : "399491fce8dfab73b4f9f611de8ea0b27b28f85994250b0f475d585d042ac207",
          "result" : "acceptable",
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        },
        {
          "tcId" : 7,
          "comment" : "public key on twist",
          "curve" : "curve25519",
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          "result" : "acceptable",
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        },
        {
          "tcId" : 8,
          "comment" : "public key = 0",
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          "flags" : [
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        {
          "tcId" : 9,
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          "flags" : [
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        },
        {
          "tcId" : 10,
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          "result" : "acceptable",
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        {
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          "result" : "acceptable",
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          "shared" : "cf72b4aa6aa1c9f894f4165b86109aa468517648e1f0cc70e1ab08460176506b",
          "result" : "acceptable",
          "flags" : [
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        },
        {
          "tcId" : 14,
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          "result" : "acceptable",
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        {
          "tcId" : 15,
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          "curve" : "curve25519",
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          "result" : "acceptable",
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        },
        {
          "tcId" : 16,
          "comment" : "edge case for public key",
          "curve" : "curve25519",
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          "result" : "valid",
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        {
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        {
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        {
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        {
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        {
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        {
          "tcId" : 82,
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        {
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          "result" : "valid",
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        {
          "tcId" : 84,
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          "shared" : "21cee52efdbc812e1d021a4af1e1d8bc4db3c400e4d2a2c56a3926db4d99c65b",
          "result" : "valid",
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        {
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          "result" : "valid",
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        {
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          "result" : "valid",
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        {
          "tcId" : 87,
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          "curve" : "curve25519",
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          "result" : "acceptable",
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      ]
    }
  ]
}