boringssl/third_party/wycheproof_testvectors/x448_test.json

{
  "algorithm" : "XDH",
  "generatorVersion" : "0.8r12",
  "numberOfTests" : 510,
  "header" : [
    "Test vectors of type XdhComp are intended for tests that verify the",
    "computation of and Xdh key exchange."
  ],
  "notes" : {
    "LowOrderPublic" : "The curves and its twists contain 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.",
    "NonCanonicalPublic" : "The public key is in non-canonical form. RFC 7749, section 5 defines the value that this public key represents. Section 7 of the same RFC recommends accepting such keys. If a non-canonical key is accepted then it must follow the RFC.",
    "SmallPublicKey" : "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 a given curve or points on its twist. The functions X25519 and X448 are defined for points on a twist with the goal that the output of computations do not leak private keys. Implementations may accept or reject points on a twist. If a point multiplication is performed then it is important that the result is correct, since otherwise attacks with invalid keys are possible.",
    "ZeroSharedSecret" : "Some libraries include a check that the shared secret is not all-zero. This check is described in Section 6.1 of RFC 7748. "
  },
  "schema" : "xdh_comp_schema.json",
  "testGroups" : [
    {
      "curve" : "curve448",
      "type" : "XdhComp",
      "tests" : [
        {
          "tcId" : 1,
          "comment" : "normal case",
          "public" : "f8073fc01c8358362c08740c914b419847ef1e409f4e40d9440febc26f00551adb1c37c6c2a87d8283b8cb453e928a0d42793f72894e0f81",
          "private" : "e41c63d5159c89de12163fde9d04cf1f430f346b8b2c1f2a4b1f5aee63d17aec29d4b1debf8b6457e7809d2b15ff9779c97becb04b824efa",
          "shared" : "acd496ceb5f68bf9c267196b405f59701a40ec88744b7e5e60bf8f81e8b13df448efe402001750edb0b695a0512f08c572a2e356493d170b",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 2,
          "comment" : "public key on twist",
          "public" : "f8d9144304bd8c4d1fa68957026fc5c1b75020365b0991d2eb1541a4dfa3f15e7a70285cd3828b529bece021d3e03a415e4f8c02eb89ef19",
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          "shared" : "3f97c3f87b967daac4e5d12eae05a80c751c3b3e1070886b083e90bb8f63cf76aea0cd4bf5032187e52b1d0513c96f1ac830debcd37887ab",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 3,
          "comment" : "public key on twist",
          "public" : "08ebf6edaa4f1e97f7675e9839c6349f71d842ef0efe1e21177b53dc409270457bb1ea58e576f5ccc682e92ccc9ff3c6542a0a6ecd32e7e0",
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          "result" : "acceptable",
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            "Twist"
          ]
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          "tcId" : 4,
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          "result" : "acceptable",
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            "SmallPublicKey",
            "LowOrderPublic",
            "ZeroSharedSecret"
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        },
        {
          "tcId" : 33,
          "comment" : "public key = 1",
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            "SmallPublicKey",
            "LowOrderPublic",
            "Twist",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 34,
          "comment" : "edge case public key",
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          "result" : "valid",
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        {
          "tcId" : 35,
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          "result" : "valid",
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        {
          "tcId" : 36,
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        {
          "tcId" : 37,
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        {
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        {
          "tcId" : 39,
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        {
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        {
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          "result" : "valid",
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        {
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        {
          "tcId" : 43,
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          "result" : "valid",
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        {
          "tcId" : 44,
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          "result" : "valid",
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        {
          "tcId" : 45,
          "comment" : "edge case public key",
          "public" : "ffffffffffffffffffffffffffffffff00000000000000000000000000000000000000000000000000000000000000000000000000000000",
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          "result" : "valid",
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        {
          "tcId" : 46,
          "comment" : "edge case public key",
          "public" : "0000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000",
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          "result" : "valid",
          "flags" : []
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        {
          "tcId" : 47,
          "comment" : "edge case public key",
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff00000000000000000000000000000000000000000000000000000000",
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          "result" : "valid",
          "flags" : []
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        {
          "tcId" : 48,
          "comment" : "edge case public key",
          "public" : "0000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000",
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          "result" : "valid",
          "flags" : []
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        {
          "tcId" : 49,
          "comment" : "edge case public key",
          "public" : "ffffffff00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffffff00000000",
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          "result" : "valid",
          "flags" : []
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        {
          "tcId" : 50,
          "comment" : "edge case public key",
          "public" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000100",
          "private" : "248350b1813637629119a438b827f369d70b7e199bc6c566fefd68b55e224e647a595c057be44ff2ee321b2acdbe39b09b3e56f3a9a0e4be",
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          "result" : "valid",
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        {
          "tcId" : 51,
          "comment" : "edge case public key",
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
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          "result" : "valid",
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        {
          "tcId" : 52,
          "comment" : "edge case public key",
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
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          "result" : "valid",
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        {
          "tcId" : 53,
          "comment" : "edge case public key",
          "public" : "000000fcffff030000e0ffff1f000000ffffff000000f8ffff070000c0ffff3f000000feffff010000f0ffff0f000080ffff7f000000fcff",
          "private" : "c89c4916c0eb3c287eb102d48f138820115328d832aa80b686393694b8ea1e89a015bed44c302b18c8a3c0948ab406ada56729d599c55db8",
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          "result" : "valid",
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        {
          "tcId" : 54,
          "comment" : "edge case public key",
          "public" : "000000fcffff070000e0ffff3f000000ffffff010000f8ffff0f0000c0ffff7f000000feffff030000f0ffff1f000080ffffff000000fcff",
          "private" : "b81e6330659a233900a8eec14616ae0b7775da7d225ad281b986291fd42c3b780c406ec7e9b2b2c8af9b1f8158747f7b6d829f1c0051e1ac",
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          "result" : "valid",
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        {
          "tcId" : 55,
          "comment" : "edge case public key",
          "public" : "fffffffffffffffffffffffffffffffffffffffffffffffffefffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid",
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        {
          "tcId" : 56,
          "comment" : "edge case public key",
          "public" : "fffffffffffffffffffffffffffffffffefffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid",
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        {
          "tcId" : 57,
          "comment" : "edge case public key",
          "public" : "fffffffffffffffffffffffffffffefffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid",
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        {
          "tcId" : 58,
          "comment" : "edge case public key",
          "public" : "fffffffffffffffffefffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid",
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        {
          "tcId" : 59,
          "comment" : "edge case public key",
          "public" : "ffffffffffffeffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid",
          "flags" : []
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        {
          "tcId" : 60,
          "comment" : "edge case public key",
          "public" : "fffffefffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "shared" : "963ff8e5ea534178e1922cc06c638367c2c4690aba7e4aaab8342210b9035727062762631f79e709d2baf0646f0d9a37df02d531791bc940",
          "result" : "valid",
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        {
          "tcId" : 61,
          "comment" : "edge case public key",
          "public" : "fffefffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "shared" : "29723d84eaefd53b8eb6a5194fd3a401c7b6ac7c1665a5e97e28409c9c75c9bae8049bc2838b2b9bd4dcdaf6192a9e3080c0aac2219ee811",
          "result" : "valid",
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        {
          "tcId" : 62,
          "comment" : "edge case public key",
          "public" : "fdfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "68273d879a2c85f98e8c051bdafcdaec097b07622dea9ac6784e3615f27438ea75cd4effbbabe705f663a2446ab8a2310f30f90528f575f2",
          "shared" : "5650af69cd016170ac1d5bbe84f03d47e1fe89c7e2daedbea8f02654b73efedbfecdcd925d7981a9e9bd2f69117f647fe9f508233b68d33e",
          "result" : "valid",
          "flags" : []
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        {
          "tcId" : 63,
          "comment" : "public key with low order",
          "public" : "fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "ac23f2c29dd7910ebdb47efc5ccb345dc9392bb5def5018dc8cb410635f56e63ab92bcdac4177c6bd3450b098493b68bb54ea47b769334c4",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 64,
          "comment" : "public key with low order",
          "public" : "fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "285e193145a17f00dea21949b0e600c040e4b92dcd85e1424831726d45e76574aaf2f3b82cd0e3b87fedd83eafb242e0e7a897442dd4dadb",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic",
            "NonCanonicalPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 65,
          "comment" : "public key with low order",
          "public" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "c05bd19c61d1c2c0e79414345cfb9c138eed88054fac8f74b2c4b5e1e817aaad629d159903bef40c10c85a8b90b8433c7f35248d72bea2d1",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 66,
          "comment" : "public key with low order",
          "public" : "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "c05bd19c61d1c2c0e79414345cfb9c138eed88054fac8f74b2c4b5e1e817aaad629d159903bef40c10c85a8b90b8433c7f35248d72bea2d1",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 67,
          "comment" : "public key with low order",
          "public" : "fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "c05bd19c61d1c2c0e79414345cfb9c138eed88054fac8f74b2c4b5e1e817aaad629d159903bef40c10c85a8b90b8433c7f35248d72bea2d1",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 68,
          "comment" : "public key with low order",
          "public" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000080",
          "private" : "c05bd19c61d1c2c0e79414345cfb9c138eed88054fac8f74b2c4b5e1e817aaad629d159903bef40c10c85a8b90b8433c7f35248d72bea2d1",
          "shared" : "7ad5210b70f2a7f4f2fe306ce098e3ad3065cafd6f5a8d3e04df33da7189d449bacc8564ed5b9f1532e87374eae9d951f45c383ba9d80585",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic"
          ]
        },
        {
          "tcId" : 69,
          "comment" : "public key with low order",
          "public" : "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000080",
          "private" : "c05bd19c61d1c2c0e79414345cfb9c138eed88054fac8f74b2c4b5e1e817aaad629d159903bef40c10c85a8b90b8433c7f35248d72bea2d1",
          "shared" : "25a8e034c3963e0765fb59e6b88558cd674ac2dd2b310221ecf33d168b9faf5fe94253af64297b9a061bfa93d6e3eb919a51586feb955c6c",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic"
          ]
        },
        {
          "tcId" : 70,
          "comment" : "public key with low order",
          "public" : "fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "c05bd19c61d1c2c0e79414345cfb9c138eed88054fac8f74b2c4b5e1e817aaad629d159903bef40c10c85a8b90b8433c7f35248d72bea2d1",
          "shared" : "856b8707b16e1b21dfc547fdb04c61a4aed9f9001f3f26404901e9ba30933cdd7ca9e2a0e57700588eb8576312ead8ee5791a8ecff32efaa",
          "result" : "acceptable",
          "flags" : [
            "LowOrderPublic"
          ]
        },
        {
          "tcId" : 71,
          "comment" : "public key = 726838724295606890549323807888004534353641360687318060281490199180612328166730772686396383698676545930088884461843637361053498018365439",
          "public" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "b8a9b9f6f1af4f1525a53b895c3bf64f23161f670fcff2fba79b8fdac07395ee99bf46278f3e948a556707cd2a889bae69449496295cc5a2",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 72,
          "comment" : "public key = 726838724295606890549323807888004534353641360687318060281490199180612328166730772686396383698676545930088884461843637361053498018365440",
          "public" : "00000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "e0b32cd5d602cb78e54c87fe29eb6075884463334b251de203f4c46cb68ac2478391f0a3f19ccde5f8ec640cc7b58877b43e5b8b578b40d7",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "NonCanonicalPublic",
            "Twist",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 73,
          "comment" : "non-canonical public key",
          "public" : "01000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "640b7820d3c9bc49d685fb8074fe9842522f9c5ad334da17a647c6bdae72454ccd25ca3372b610ebf89c0a336b4fd59a82f6875f37dc86e4",
          "shared" : "486806126fa8fd7b255915560d4d54ada9acc05b1b5464cf7b5f11671ff0076b2a3888652855c2818bc28ba3c7b344cb1006143bfe1a971e",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 74,
          "comment" : "non-canonical public key",
          "public" : "02000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "04516dd70bfe7392de61cf352ece15c23e2a642152fe40e962c05383d4f8ebd45482e1b3c04a3664457f98dfa83719a5280639c5a12dcb94",
          "shared" : "cc0eef3696a62cbfe4c585514a90a7e12ec24e101e8458ebfbe75d9db7a826607416d3f2a69d7ac6c03f27e1e225ee75677278fc2f26dd9b",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 75,
          "comment" : "non-canonical public key",
          "public" : "03000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "fca784f039798be596afeedaec5b3868f0c8298927721fb82ad04546b7e4c4f42fa1fc3fc7d12f43f5a2e8a96362fcc71a34b44b559e0b96",
          "shared" : "a729e6ece3db18b7e9423be4e7fae18caa291e61ce84b608569ab461b270724fd92f3e2b8086fe067673ca7ac05357ee701d69e4056d5b4b",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 76,
          "comment" : "non-canonical public key",
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "742b8c0b0ab0104a9ef9634c0aad023f35e41fb953717121ce4c2aebc1a128e7c0431cd1347a6241685f7174a8512d417ebaaa46ee780a8a",
          "shared" : "d92b02d7bb9952f4ca826b2b51f1a3d4de1fd4459f0d019853f3a960d54f3354d8e40fb28d1be65637bb7dba0571ff83797b7106c7497459",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 77,
          "comment" : "non-canonical public key",
          "public" : "020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "f49a2ae810115886821eda33e6e727547125d205dd62084d762198a6a61a10e85c7fd89316575e62a48e0ff4191e276da89c8f8c2bbe4aef",
          "shared" : "42d8a20f37891cf1df5931b58a6f34bed58e287bc201673788b84be1075aa0ca5d7e571b2e7a8016b391d4865d9e50783514ab2b96f4e1bd",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic",
            "Twist"
          ]
        },
        {
          "tcId" : 78,
          "comment" : "non-canonical public key",
          "public" : "030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "14f9d714d07bf69769cd597da414b47ad6736743628c596560094fbb4270bf87eb426f8e70ac2df080f5a444f3bd4dbebd13b192269780ce",
          "shared" : "748108915caccb9308466efe7440729bb4865e55f543f322e2c7356e5aa91eaf4c55a94b97c505131d38dad6dbbd748b4943aea77e3b65a4",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic",
            "Twist"
          ]
        },
        {
          "tcId" : 79,
          "comment" : "non-canonical public key",
          "public" : "040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "5cc35676a3413d097dd7bb230033a1eba347b472dcc4a837b5ee6bf15a58afd9ad09cb27a7dff97be23ba616a320305e9289866c973ba4c3",
          "shared" : "14a484637ae0ff2e46687d5891426486abab189dc4458f26e44662723ff80cc7ae186766457635e9dff0ca3b5ff5003e21392277826b47cc",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic",
            "Twist"
          ]
        },
        {
          "tcId" : 80,
          "comment" : "non-canonical public key",
          "public" : "fefffffffffffffffffffffffffffffffffffffffffffffffffffffffdffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "9049d5988c5444868ab7e1367defb8565e81aa3cf3af6fdcbee3044912dcd48109e8b5c6e839235dcab86f38e14c8eb5dfb341d600ac64bc",
          "shared" : "c154cc670734e4fb43969336d882be6b28dd82c0d8a13a759a0a7bb561b7926d535f8564280a57f8e667ea249225c020d94e78107de8478d",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 81,
          "comment" : "non-canonical public key",
          "public" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffdffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "58fc9970e9c628a8fe3a24b6a92a18a33eee818a9e3e1cc28ee6910fa93f601982cf740f314deb85f6122e93f2386556830a232087313d8d",
          "shared" : "09d840533ee16de30d2b7141244e5c989023fe5f88277367e28dba85c9f32d68ada84a9aa9d1807ea444e01b75dada831f8a9e8e146f14d7",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic",
            "Twist"
          ]
        },
        {
          "tcId" : 82,
          "comment" : "non-canonical public key",
          "public" : "00000000000000000000000000000000000000000000000000000000feffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "44e6d98624b7dfda557408211bf9ddb17ce0b87394284a3dfb6c738b674cd7c5b2a75f9562387e670b063c7f374b7bea669738e407dac3f1",
          "shared" : "002517cf339489d25249db5c2cead3e1a833705d5b53351185f8f9440ce4f29679bdec0b79c2301a302431834a54b455e73b9f1a95846b1d",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 83,
          "comment" : "non-canonical public key",
          "public" : "fcfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "142263da1ad16fea83a2c5a4ec0b57f5920b4a181b705961aa959b6f3a477961bdcd3664f88d3a813055d24d22698db0a90f148d44d3e3db",
          "shared" : "84d1debc9a4ed03b2df0fa8d9fb1f0fca90720e6d27c2a08a8b61db5a8d7d0dd12ae7ae31d967b54254b5ccc790afdf84466a1e8e4d94175",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic",
            "Twist"
          ]
        },
        {
          "tcId" : 84,
          "comment" : "non-canonical public key",
          "public" : "fdfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "d0abb3224ec50b0c8a9b23ba7b08b2465f0d189464edeb4462f4133060e2abe32b756e6aa4492d4437684018e9885a3ae147f6394da07a9f",
          "shared" : "2343699c731ef875b7182f47954cd41f3cb04c8d921fe917ff835ddda08d1139e63827b7510c39b2a3031e1ec6933369d49f98ea548f6b6c",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 85,
          "comment" : "non-canonical public key",
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff01",
          "private" : "3034f9589bf95d1d00a181b2a42436fa0499ae54ecd988c331993709aadd25bf1af3aca23f110b3a211a87e2cd9a34ffadbe16a933dd28af",
          "shared" : "9ab02aec3d2b9f7272dcf1a8a0fa78e893a930a362ccbaca73773af3bfacb7726113c54c3e126ad293bbe7cc0d529db3a967cb6f18f0eb4e",
          "result" : "acceptable",
          "flags" : [
            "NonCanonicalPublic"
          ]
        },
        {
          "tcId" : 86,
          "comment" : "public key = 726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656",
          "public" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "14215fc790be3239cfc8c3f45fed602bcab4e1853a5d0397bd45bfd0a546de7555a60b4d684d9c54f822bc168f1cb8c4c03dae2f7e34b8e0",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "NonCanonicalPublic",
            "Twist",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 87,
          "comment" : "public key = 726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614657",
          "public" : "010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "700a1642844c368a8cdae4119be4c1746ef214beed0d4b4055e235d56b3cf81f936250a04843c37a892ba6b509b75db65161604cf9a451f3",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "NonCanonicalPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 88,
          "comment" : "RFC 8037, Section A.7",
          "public" : "3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609",
          "private" : "9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b",
          "shared" : "07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 89,
          "comment" : "edge case for shared secret",
          "public" : "b91a0c5ad497d95f15df62e4231edaaaab21d82953fcde09eab164209745aab6fe9d353a0da328fa8147939e63ad56d1c0d2c0bddd95da50",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 90,
          "comment" : "edge case for shared secret",
          "public" : "7bae316c8fb6d759a3be625bb7c5e75ec64e3cb7dedd3dfa05771146af2dc45e6424489b3d96f63137ab3caa9d261c49a214662804af4846",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 91,
          "comment" : "edge case for shared secret",
          "public" : "c551027288f77364659079b5db7368b4cf8fd6f1d70dc1f145a33e85d371e07a3afead484a0eadf0ba5d043bc27ea195f2005310beea24a0",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 92,
          "comment" : "edge case for shared secret",
          "public" : "d3c530279c9b5ace0519dee32ee932c320425d717f559b34ca8e24540fb76fd9ace7785e529116b220b06f5ec0ba4a05237fcfd00ba3c7de",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 93,
          "comment" : "edge case for shared secret",
          "public" : "43b61e502c662f9c9a0639d2af3e88de77b3b70bc3bb2abeaba39dd5e7132dddcf14a18d9d7ca4013a33b54787afded9d87d5d67d43c30d6",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 94,
          "comment" : "edge case for shared secret",
          "public" : "2ee034147e21fd9fc99568348e88289c9d8c8391d25150fae89f763fb64f962cb84ad314c2960871b95111bb0f1801114c3a1216bee7edd6",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "f2fffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 95,
          "comment" : "edge case for shared secret",
          "public" : "ebad9b8e2e7fdfd6c93e2f3cf4e81be7bbfb34e6de7bbaef9c957d3a0324f9781950c70392ee53587931c3f1ad3050597d07644f0e8a0ab3",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "f9fffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 96,
          "comment" : "edge case for shared secret",
          "public" : "6a2bc133f7c84d9c2339a7e9ea8dcdb7f6d051fc5db9279c9f6e0aff35176cfd3b11e7e6c2eec5205bfe82612d2b0b3df673452036c53fb8",
          "private" : "70ef97865bee47cf00de84606408e2701ad8bf6ed311039764a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf",
          "shared" : "fafffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 97,
          "comment" : "special case public key",
          "public" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "c817e3c08e0017a5a4422c70095edf062d71f452139715edccd07c46bbfb827753b92c70e49583ce8bfa44641a7382258ea903d6a832c9eb",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 98,
          "comment" : "special case public key",
          "public" : "0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "dc05e8c9decef9d3e350ee83aee2502cedd76f07d2364de993b7ef237a055f348dcb4c4364a59d7d31edc7ab78f2ca254e2c810975c3f583",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "Twist",
            "ZeroSharedSecret"
          ]
        },
        {
          "tcId" : 99,
          "comment" : "special case public key",
          "public" : "0200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "803f68ff9812676ab809582f0b93e80461598c987bc7b2e4e0a8be63315c4f0f0a3fee607f44d30a55be63f09561d9af93e0a1c9cf0ed791",
          "shared" : "2754aa144ac700ad183b9c20cd2627db3c51e7644055f71f46e2b999d3e13e346454560fa72a16488561e60d6b6423ed50d1e75a4899a8bd",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 100,
          "comment" : "special case public key",
          "public" : "0000000000000000000000000080000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "04dff901e6907ef63c0590c6090065ef5c3c0ed03d1a9949bbda2bd2d7cf25a3e54e5f87ee15911effb9ff86baec4076d56c8e953670bf9b",
          "shared" : "007a850b8e863783cb6c175c9babbbd35abe37d413a888d976acc68b70f6e6669c7c5095c2cfccc528284687f253ddb1ddc3ea0910bd14e3",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 101,
          "comment" : "special case public key",
          "public" : "ffffffffffffffffffffffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "64d5e0000aebdf9b757402d08af646c6f31d6628be806f646f4cd420af41abb3d10c61e773238cf729c2155f941ac27e15f4c37f49b295f6",
          "shared" : "0665a1c3d7a747e59e8dbe841dac1f401d073ca45ea29bad457577d7922fb98257705f84b198a68c2e2c3ed7b9e4233e43c44887d7a8e05c",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 102,
          "comment" : "special case public key",
          "public" : "0100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "78e6c128fe7060705ce22c6363dfa7aa169a389923d21a313ccfacaa4460796b4de434bdd6739f0d043671f97fa829517511e6b47aa934f4",
          "shared" : "0701a1cf05b9ed4799151deedfb5f2bd6aa83a7390ddb27497e8a59b9f8e18e2b25abb0715e0848bc3c2eb0bb2c9d6f0b370e89a98ef5ba0",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 103,
          "comment" : "special case public key",
          "public" : "0000000000000000000000000000000000000000000000000000004000000000000000000000000000000000000000000000000000000000",
          "private" : "3400ca2d96b2457bd3cb6fefc3f5b524d87133d6ba2956cc37832e8cb627ac195f77b1105258e4bb18b99a5ed944404bfacb3a039fbdb18b",
          "shared" : "d7c62f95a52eedcff91b69a734aed33f71bcade015b5e668f3fb7990522f979670b43a4c8ee055851dbd3b5347465e1d13b8dcee623e7879",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 104,
          "comment" : "special case public key",
          "public" : "0000000000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000000000000000",
          "private" : "9cfdbcba85855a0ca97314a653c9a0a16e83edb74aaf799ddc18fd6971e546447f361d33d3dbb3eadcf02fb28f246f1d5107b9073a93cdcf",
          "shared" : "ed354b7081fc0366d574f4696bef60b3099d55cb0832e822619b8b4d2d57ffe3b3ec2987755dba08bdab6bbf5a284276745e0bd4fef9ba7f",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 105,
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          "shared" : "caba0271ea05eabf9d92314311cedf54df44739623a60004dd62d5ccac1f4302644b2f0b75e35b11a1831a87548238b9c36e71e5f7c57d10",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 504,
          "comment" : "private key == 1 (mod order) on twist",
          "public" : "a8dea38f7ffae78bb69fbe455026297c9873829494d2aa664fad64417fb2ae8ea13849bdab0152e1e059f4d9ba7f22cf60ba130a29f17857",
          "private" : "2831f7fd47b895950052af56a8b8b99b4f5c7df3226e13b34294a109000000000000000000000000000000000000000000000000000000c0",
          "shared" : "a8dea38f7ffae78bb69fbe455026297c9873829494d2aa664fad64417fb2ae8ea13849bdab0152e1e059f4d9ba7f22cf60ba130a29f17857",
          "result" : "acceptable",
          "flags" : [
            "Twist"
          ]
        },
        {
          "tcId" : 505,
          "comment" : "special case private key",
          "public" : "f8de0d52427ddc57d9fe1d9bf9f3704d7d43a2633307374a8b05bb6e422a7085a8dbee3ccc28ad328ea3c8cea637ad3c2913ae4ffc1f7638",
          "private" : "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffa9aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
          "shared" : "5232fe8457ba910cb886bda0da97754bf7132f61481939808673db29e318cbdce8561c78062ad94864ba5c820454766d0255bec1db695147",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 506,
          "comment" : "special case private key",
          "public" : "dc81ef1956cd123f034ad6bb835849e1d45e6fa917c1510f66e3d8ce55f3a7d6754314c589a35dd8ef28c8276203d12c6525b8ae7fec3493",
          "private" : "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffa9aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
          "shared" : "341c3aeb0551108fc80d22d98c2683a6eb68967420c1e033fc22c41f4f3ab8d82d643425d2675f44f42d03b998484e62f35b915c1d4bf434",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 507,
          "comment" : "special case private key",
          "public" : "a667c6ac3de44c8d89c8f82025dab50470fa2da4efa153fb03adb167cef143cdffb825e927e0badfd720f28c1033f3e9d86de7158f00718c",
          "private" : "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffa9aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
          "shared" : "b2ba5057f1f1183b1970b7844537784670da55c5e3207de1d0f76427b2663811426107941022d9bf85a373a7840eb017cf8fa23e53067a7d",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 508,
          "comment" : "special case private key",
          "public" : "f8de0d52427ddc57d9fe1d9bf9f3704d7d43a2633307374a8b05bb6e422a7085a8dbee3ccc28ad328ea3c8cea637ad3c2913ae4ffc1f7638",
          "private" : "00000000000000000000000000000000000000000000000000000000565555555555555555555555555555555555555555555555555555d5",
          "shared" : "5666a72276a9c4f3849f62888d8590e0aee115e9a231b1ca743ee7a02af7377e4030521091d173941c9a701753eca4d5823fbd86747dc0fa",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 509,
          "comment" : "special case private key",
          "public" : "dc81ef1956cd123f034ad6bb835849e1d45e6fa917c1510f66e3d8ce55f3a7d6754314c589a35dd8ef28c8276203d12c6525b8ae7fec3493",
          "private" : "00000000000000000000000000000000000000000000000000000000565555555555555555555555555555555555555555555555555555d5",
          "shared" : "8bd67fe2102f52d861ec6798ed279b0ff9a4f2a89e83429f69753d2a9b1a23bd940ea664490cdc32c86e3ecbd993847ed3ea780c48397fb6",
          "result" : "valid",
          "flags" : []
        },
        {
          "tcId" : 510,
          "comment" : "special case private key",
          "public" : "a667c6ac3de44c8d89c8f82025dab50470fa2da4efa153fb03adb167cef143cdffb825e927e0badfd720f28c1033f3e9d86de7158f00718c",
          "private" : "00000000000000000000000000000000000000000000000000000000565555555555555555555555555555555555555555555555555555d5",
          "shared" : "b7da87a0546689eff6fe5dbb1cad3d3f282653af32e2e965b3004b6d5273e04be242af3cbcf9bbdc69d774005bd856c7f740ebf6cef0df0d",
          "result" : "valid",
          "flags" : []
        }
      ]
    }
  ]
}