noble-curves/test/wycheproof/ecdh_secp256r1_ecpoint_test.json

{
  "algorithm" : "ECDH",
  "schema" : "ecdh_ecpoint_test_schema.json",
  "generatorVersion" : "0.9rc5",
  "numberOfTests" : 355,
  "header" : [
    "Test vectors of type EcdhWebTest are intended for",
    "testing an ECDH implementations where the public key",
    "is just an ASN encoded point."
  ],
  "notes" : {
    "AdditionChain" : {
      "bugType" : "KNOWN_BUG",
      "description" : "The private key has an unusual bit pattern, such as high or low Hamming weight. The goal is to test edge cases for addition chain implementations."
    },
    "CVE-2017-8932" : {
      "bugType" : "KNOWN_BUG",
      "description" : "A bug in the standard library ScalarMult implementation of curve P-256 for amd64 architectures in Go before 1.7.6 and 1.8.x before 1.8.2 causes incorrect results to be generated for specific input points.",
      "effect" : "An adaptive attack can be mounted to progressively extract the scalar input to ScalarMult by submitting crafted points and observing failures to the derive correct output.",
      "cves" : [
        "CVE-2017-8932"
      ]
    },
    "CompressedPoint" : {
      "bugType" : "UNKNOWN",
      "description" : "The point in the public key is compressed. Not every library supports points in compressed format."
    },
    "CompressedPublic" : {
      "bugType" : "FUNCTIONALITY",
      "description" : "The public key in the test vector is compressed. Some implementations do not support compressed points."
    },
    "EdgeCaseDoubling" : {
      "bugType" : "EDGE_CASE",
      "description" : "The test vector contains an EC point that hits an edge case (e.g. a coordinate 0) when doubled. The goal of the test vector is to check for arithmetic errors in these test cases.",
      "effect" : "The effect of such arithmetic errors is unclear and requires further analysis."
    },
    "EdgeCaseEphemeralKey" : {
      "bugType" : "EDGE_CASE",
      "description" : "The test vector contains an ephemeral public key that is an edge case."
    },
    "EdgeCaseSharedSecret" : {
      "bugType" : "EDGE_CASE",
      "description" : "The test vector contains a public key and private key such that the shared ECDH secret is a special case. The goal of this test vector is to detect arithmetic errors.",
      "effect" : "The seriousness of an arithmetic error is unclear. It requires further analysis to determine if the bug is exploitable."
    },
    "InvalidCompressedPublic" : {
      "bugType" : "MODIFIED_PARAMETER",
      "description" : "The test vector contains a compressed public key that does not exist. I.e., it contains an x-coordinate that does not correspond to any points on the curve. Such keys should be rejected "
    },
    "InvalidCurveAttack" : {
      "bugType" : "CONFIDENTIALITY",
      "description" : "The point of the public key is not on the curve. ",
      "effect" : "If an implementation does not check whether a point is on the curve then it is likely that the implementation is susceptible to an invalid curve attack. Many implementations compute the shared ECDH secret over a curve defined by the point on the public key. This curve can be weak and hence leak information about the private key."
    },
    "InvalidEncoding" : {
      "bugType" : "MODIFIED_PARAMETER",
      "description" : "The test vector contains a public key with an invalid encoding."
    },
    "Normal" : {
      "bugType" : "BASIC",
      "description" : "The test vector contains a pseudorandomly generated, valid test case. Implementations are expected to pass this test."
    },
    "WrongCurve" : {
      "bugType" : "CONFIDENTIALITY",
      "description" : "The public key and private key use distinct curves. Implementations are expected to reject such parameters.",
      "effect" : "Computing an ECDH key exchange with public and private keys can in the worst case lead to an invalid curve attack. Hence, it is important that ECDH implementations check the input parameters. The severity of such bugs is typically smaller if an implementation ensures that the point is on the curve and that the ECDH computation is performed on the curve of the private key. Some of the test vectors with modified public key contain shared ECDH secrets, that were computed over the curve of the private key."
    }
  },
  "testGroups" : [
    {
      "type" : "EcdhEcpointTest",
      "curve" : "secp256r1",
      "encoding" : "ecpoint",
      "tests" : [
        {
          "tcId" : 1,
          "comment" : "normal case",
          "flags" : [
            "Normal"
          ],
          "public" : "0462d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26ac333a93a9e70a81cd5a95b5bf8d13990eb741c8c38872b4a07d275a014e30cf",
          "private" : "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346",
          "shared" : "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285",
          "result" : "valid"
        },
        {
          "tcId" : 2,
          "comment" : "compressed public key",
          "flags" : [
            "CompressedPublic",
            "CompressedPoint"
          ],
          "public" : "0362d5bd3372af75fe85a040715d0f502428e07046868b0bfdfa61d731afe44f26",
          "private" : "0612465c89a023ab17855b0a6bcebfd3febb53aef84138647b5352e02c10c346",
          "shared" : "53020d908b0219328b658b525f26780e3ae12bcd952bb25a93bc0895e1714285",
          "result" : "acceptable"
        },
        {
          "tcId" : 3,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0458fd4168a87795603e2b04390285bdca6e57de6027fe211dd9d25e2212d29e62080d36bd224d7405509295eed02a17150e03b314f96da37445b0d1d29377d12c",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 4,
          "comment" : "shared secret has x-coordinate p-3",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04a1ecc24bf0d0053d23f5fd80ddf1735a1925039dc1176c581a7e795163c8b9ba2cb5a4e4d5109f4527575e3137b83d79a9bcb3faeff90d2aca2bed71bb523e7e",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc",
          "result" : "valid"
        },
        {
          "tcId" : 5,
          "comment" : "shared secret has x-coordinate 2**16 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "041b0e7437c33d379929430d3ec10df59bed7fe2a1d950c5791e1e9ddeef1f4d70fbdb0e3bbce63a27f27838c685207f2ccaf689d25eb622744db1168ac92619e8",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000000000000000000000000000000000000000010000",
          "result" : "valid"
        },
        {
          "tcId" : 6,
          "comment" : "shared secret has x-coordinate 2**32 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0408d6148d0244d243b3d0d1777de6375fa7ebeab477f19915d05994db04df219727737d4f8ce0a7f390becce92b2bcd5c054f18ecb58e5dd59baf88b4ed6abea8",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000000000000000000000000000000000000100000000",
          "result" : "valid"
        },
        {
          "tcId" : 7,
          "comment" : "shared secret has x-coordinate 2**64 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "042424f9d7ba0a89ce3c7c1e8f15dfd83004d86680967a82cbf9bb6b11dae5fd72e05c3687187b1cf28438a17a7469fa3b094b7d6f36cccc3492c0b0a61fab2a38",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000000000000000000000000000010000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 8,
          "comment" : "shared secret has x-coordinate 2**96 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "044c9695b7668434fc85769acb10f0edcf87a96b7d5dc347b46bb304b0b1d3267fcf5d993bff2a8c774808231a34f41b33667d8ebeafd00689fa3a9bfa05a40c1c",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000000000000000000001000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 9,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = -3",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04a492fe4b4908b6d675d687551f99c617e4e5c97aa266958953129eb381f0153b111b95c94fa1d1ecd1d41d2785c1db5195875ae98051732a59ba7720f9089af6",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "6522aed9ea48f2623b8eeae3e213b99da32e74c9421835804d374ce28fcca662",
          "result" : "valid"
        },
        {
          "tcId" : 10,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04d5c96efd1907fd48de2ad715acf82eae5c6690fe3efe16a78d61c68d3bfd10df03eac816b9e7b776192a3f5075887c0e225617505833ca997cda32fd0f673c5e",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "507442007322aa895340cba4abc2d730bfd0b16c2c79a46815f8780d2c55a2dd",
          "result" : "valid"
        },
        {
          "tcId" : 11,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 5",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04c74d546f2fcc6dd392f85e5be167e358de908756b0c0bb01cb69d864ca083e1c93f959eece6e10ee11bd3934207d65ae28af68b092585a1509260eceb39b92ef",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "085ec5a4af40176b63189069aeffcb229c96d3e046e0283ed2f9dac21b15ad3c",
          "result" : "valid"
        },
        {
          "tcId" : 12,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 7",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0434fc9f1e7a094cd29598d1841fa9613dbe82313d633a51d63fb6eff074cc9b9a4ecfd9f258c5c4d4210b49751213a24c596982bd1d54e0445443f21ef15492a5",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "190c25f88ad9ae3a098e6cffe6fd0b1bea42114eb0cedd5868a45c5fe277dff3",
          "result" : "valid"
        },
        {
          "tcId" : 13,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 8",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04f475f503a770df72c45aedfe42c008f59aa57e72b232f26600bdd0353957cb20bdb8f6405b4918050a3549f44c07a8eba820cdce4ece699888c638df66f54f7c",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "5f177bfe19baaaee597e68b6a87a519e805e9d28a70cb72fd40f0fe5a754ba45",
          "result" : "valid"
        },
        {
          "tcId" : 14,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 2**96 + 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04949304889050834006ecf11eba0e73f0dd2a5e77a5ea642a34a3f9989eda2d57384509cd42763c87cf460d1ad75664402986bb8cca0acdfc3685d2c9c7d32933",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "3476a8fa9c7448124aa945a2e1103eb91f95c7b4d91aaa1c35b8965191fc0fe0",
          "result" : "valid"
        },
        {
          "tcId" : 15,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04e25ead8342888d1fbd2bd211e9db5bc761da9cfa1e805078b53606df9e5444403d3421fa70f940dba104d842034d2efec9332161ccfb654a8e9f2ec42fc1a837",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "5555555555555555555555555555555555555555555555555555555555555554",
          "result" : "valid"
        },
        {
          "tcId" : 16,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04cb32ab951d7581e7602c89320d91d7043e9dc56a10348d586a08d1870753152bf96bd53e7cfc2434dc61a09f8f4853e4c6dd49e786194ec0a988d0e8d29378b8",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9",
          "result" : "valid"
        },
        {
          "tcId" : 17,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "040b9d56422ed9c2082dd9d46d231fd0141f92e79f5a12da4c77c488c87363f944e6e3c2ec9779615f242bc30d1c28c1f984b8c252243f5f1eaa3d855e1cc2d8a6",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "3333333333333333333333333333333333333333333333333333333333333333",
          "result" : "valid"
        },
        {
          "tcId" : 18,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "040507fabb16755f4885ae45b3d497822388f4e6a531de512c200480b4e56b892ab70746c1d8a20637eff17948e557a2b4da2562ba6b62991b426b7b3787a19693",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc",
          "result" : "valid"
        },
        {
          "tcId" : 19,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "043b18caef2cd982c3b58f258cb76daa029383f42c8f3f083493f42c915935243a260830b7d25b66378c5d25fb0cf23d32527a2cdb7f7d7e6c89ebea8277738ed8",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f",
          "result" : "valid"
        },
        {
          "tcId" : 20,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04123b1921231bee315e1ea66cb95318d6392f85695bbec03c334740ce7add768efec9a108770ff0eb448eee9f06367416d74b22a2f38157bb00d8c0be44ebf152",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0",
          "result" : "valid"
        },
        {
          "tcId" : 21,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04924fb33985c8a687fc04c9dd05e531ca0e0223aa58d58351e922ef482043d30cf504745e769b6dcbefe404da37f717b3109d2af23450fcfe2f075c2dabbe7194",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00f9",
          "result" : "valid"
        },
        {
          "tcId" : 22,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0422495c6884937a1bc05871e9ee1a2c43f8f14db19ee60bd2d89c4293042f5a9452cea27e6fe574a00e5f15fe11aa54f54ebd8bde3aa41c80bf9d5f7b1dc6efec",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00feff",
          "result" : "valid"
        },
        {
          "tcId" : 23,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04f3cb6754b7e2a86d064dfb9f903185aaa4c92b481c2c1a1ff276303bbc4183e49c318599b0984c3563df339311fe143a7d921ee75b755a52c6f804f897b809f7",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fff0001fffc0007fff0001fffc0007fff0001fffc0007fff0001fffc0007fff",
          "result" : "valid"
        },
        {
          "tcId" : 24,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04a8d93bebbaf25fa9a1f98c44b54dbf28634a5fd08402dba5d9e4873f8123da1db972d91a0eabadb630b271e6551b757d969301beddd11f82decdfbe4f9657f50",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "8000fffe0003fff8000fffe0003fff8000fffe0003fff8000fffe0003fff7ffe",
          "result" : "valid"
        },
        {
          "tcId" : 25,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048d0086e678a0fe7b4ad7bd4f94a38267b9f9f1d2b82452db4cfb335595c26c55f78476a00a0153941da0b0b81c834682edc9fcc8bc21a7b5bacb460dbb566c19",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000fffe",
          "result" : "valid"
        },
        {
          "tcId" : 26,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0402a96834fe3b54d440003521f2355aea48d0bbc576473fecc6975100c589865263255764891ffc108cfe754af52a4362953955ddfadcf752637c11edeaa6a807",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000fffefffd",
          "result" : "valid"
        },
        {
          "tcId" : 27,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048721294f9eb3ba69a13ae7d933fa51c48393fe1b9b9b17a08cecff2ee6ad434d2c23cd11d26694c472dda8cea4133bbc68e1f234bc7e8bffcea9446091855491",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "8000003ffffff0000007fffffe000000ffffffc000001ffffff8000003fffffc",
          "result" : "valid"
        },
        {
          "tcId" : 28,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "043e99ec3c58ac3898936e4a61182b198823c9992209f67bf5291aa354fceb2f1312952518636add666320c8b7fa631541d0ca50796dbff0c1e72f94718776bd60",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fffffe000000ffffffc000001ffffff8000003ffffff0000007fffffdfffffe",
          "result" : "valid"
        },
        {
          "tcId" : 29,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 52",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04e9484e58f3331b66ffed6d90cb1c78065fa28cfba5c7dd4352013d3252ee4277bd7503b045a38b4b247b32c59593580f39e6abfa376c3dca20cf7f9cfb659e13",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000003ffffff0000003ffffff0000003ffffff0000003ffffff0000003ffffff",
          "result" : "valid"
        },
        {
          "tcId" : 30,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 52",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04eb6eb532fe4af2a5a275ab4e9f728ae64e9dbc08e9359091d75e5334a6e08db64c146339c05d1d5782ebeeb86d3eb5c63e9f99f17187c039666c5237b736e9cd",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "fffffc000000ffffffc000000ffffffc000000ffffffc000000ffffffbffffff",
          "result" : "valid"
        },
        {
          "tcId" : 31,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 60",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048e7b50f7d8c44d5d3496c43141a502f4a43f153d03ad43eda8e39597f1d477b8647f3da67969b7f989ff4addc393515af40c82085ce1f2ee195412c6f583774f",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ffff00000003fffffff00000003fffffff00000003fffffff00000003fffffff",
          "result" : "valid"
        },
        {
          "tcId" : 32,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 60",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0440d4f4f6d9a41ab6ea90d46610b924ab15ed4f259fd09ddd41a707782fa9e203a5080a7e118a50c4b3d2c43dcbbf35c39e276a0a50b33a9ffbe7c9095055fc25",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000fffffffc0000000fffffffc0000000fffffffc0000000fffffffbfffffff",
          "result" : "valid"
        },
        {
          "tcId" : 33,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 62",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04a386ace573f87558a68ead2a20088e3fe928bdae9e109446f93a078c15741f0421261e6db2bf12106e4c6bf85b9581b4c0302a526222f90abc5a549206b11011",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ff00000001fffffffc00000007fffffff00000001fffffffc00000007fffffff",
          "result" : "valid"
        },
        {
          "tcId" : 34,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 62",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04739b5c2189729b577ba1a467a1a0851c556b860f6b2016bcd50beb22ee9c0d7961ea43cf1ea7aad1a2360b0f37a74ca532dc8d1af26cdf89a87d93dcaa0c9564",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "00fffffffe00000003fffffff80000000fffffffe00000003fffffff80000000",
          "result" : "valid"
        },
        {
          "tcId" : 35,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 64",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "046c03f055f710aea89341f0ef7a1c6d5c45a50923ce8adb33c2520f7881547748691f4dafcf6d5df8d9e6afda66ca81718bea8171abc87036a9c370385b60d969",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "00000000ffffffff00000000ffffffff00000000ffffffff00000000fffffffc",
          "result" : "valid"
        },
        {
          "tcId" : 36,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 64",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048a3f60cfec64745bf625696f2fe4b6e4ce8208954f4fc4da21f87f9f7a2c3275b54d90851b39707586dc6cceccc5e50a1e4a955463107d1d87c8252df2110d6d",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ffffffff00000000ffffffff00000000ffffffff00000000ffffffff00000000",
          "result" : "valid"
        },
        {
          "tcId" : 37,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 112",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04c827fb930fd51d926086191b502af83abb5f717debc8de29897a3934b2571ca05990c0597b0b7a2e42febd56b13235d1d408d76ed2c93b3facf514d902f6910a",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "ffffffff00000000000000ffffffffffffff00000000000000ffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 38,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 112",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04fc85bfee056478a1717582accd11ed49009891cbda5fe40b9f4c1742e127db2c97033f5f6405acfa57553f1e375a13e8d6e3a1151958c709be508e0bac7804d6",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "00000000ffffffffffffff00000000000000ffffffffffffff00000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 39,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 128",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0438bf171cdbd4e2e7128528db43d80655b789e69e6ba1d36b62e4e59d8ecf4c51bbe3244e4fbf79f24512f30c4a605314749e2f20d858ec961060a2cab467013f",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000ffffffffffffffff0000000000000000fffffffffffffffd",
          "result" : "valid"
        },
        {
          "tcId" : 40,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 128",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04249f4f517d7788d4622d762c4312101fba71fe2657f1f2c33c0613d2e21890b778f32da1b61ed9385cd52f5e7103f77b01b403fb6537a0c0e866195d0a448f34",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fffffffffffffff0000000000000000ffffffffffffffff0000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 41,
          "comment" : "shared secret has an x-coordinate of approx p//3",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04e9c0af0bf6dadd8fbe04c5cf3fce80683a9c267b0dc9850cbc1bcdfeb744c3516efe878223dd9dd924e83e3ab22c9bf304129ab59c1f3d30fb58b8770bf9d9bf",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "5555555500000000555555555555555555555555aaaaaaaaaaaaaaaaaaaaaaab",
          "result" : "valid"
        },
        {
          "tcId" : 42,
          "comment" : "shared secret has an x-coordinate of approx p//5",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "042b29f482bc43559f70447584919df1e03706ee63c987b6f7499ae29ab01ca828a4bd05d61f596e01623a8e2076c013889fbb0f9937e475a00ddd75e6a992e776",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "3333333300000000333333333333333333333333666666666666666666666666",
          "result" : "valid"
        },
        {
          "tcId" : 43,
          "comment" : "shared secret has an x-coordinate of approx p//7",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "042766dc8e289fd27625d4765eb014aa54a44a7d5724050b9446e363071c260913aff9f1dc5e71b666501b24d70805cb8e1a01ee90ca84cb0c6f7ea453df85f520",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "249249246db6db6ddb6db6db6db6db6db6db6db7000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 44,
          "comment" : "shared secret has an x-coordinate of approx p//9",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04d33314f13a7fe8357bfd7a11799498e55bc782c6f434856d733b668e1d05448348dc5aae3f6431dd20c018f54b1d65fd1864ddfeea04ad7533971237c60ac0c7",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "1c71c71c5555555571c71c71c71c71c71c71c71c8e38e38e38e38e38e38e38e4",
          "result" : "valid"
        },
        {
          "tcId" : 45,
          "comment" : "y-coordinate of the public key is small",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "043cbc1b31b43f17dc200dd70c2944c04c6cb1b082820c234a300b05b7763844c74fde0a4ef93887469793270eb2ff148287da9265b0334f9e2609aac16e8ad503",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fffffffffffffffffffffffeecf2230ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 46,
          "comment" : "y-coordinate of the public key is small",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "042830d96489ae24b79cad425056e82746f9e3f419ab9aa21ca1fbb11c7325e7d318abe66f575ee8a2f1c4a80e35260ae82ad7d6f661d15f06967930a585097ef7",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000000000000000000000000111124f400000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 47,
          "comment" : "y-coordinate of the public key is small",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04450b6b6e2097178e9d2850109518d28eb3b6ded2922a5452003bc2e4a4ec775c894e90f0df1b0e6cadb03b9de24f6a22d1bd0a4a58cd645c273cae1c619bfd61",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000000000000000000000001ea77d449ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 48,
          "comment" : "y-coordinate of the public key is small",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "047fffffffffffffffffffffffeecf2230ffffffffffffffffffffffffffffffff00000001c7c30643abed0af0a49fe352cb483ff9b97dccdf427c658e8793240d",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "6fd26661851a8de3c6d06f834ef3acb8f2a5f9c136a985ffe10d5eeb51edcfa3",
          "result" : "valid"
        },
        {
          "tcId" : 49,
          "comment" : "y-coordinate of the public key is small",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000111124f4000000000000000000000000000000000000000d12d381b0760b1c50be8acf859385052c7f53cde67ce13759de3123a0",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "f1f0e43b374feb7e7f96d4ffe7519fa8bb6c3cfd25f6f87dab2623d2a2d33851",
          "result" : "valid"
        },
        {
          "tcId" : 50,
          "comment" : "y-coordinate of the public key is small",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000001ea77d449ffffffffffffffffffffffffffffffff000000007afbc0b325e820646dec622fb558a51c342aa257f4b6a8ec5ddf144f",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "1b085213a9c89d353e1111af078c38c502b7b4771efba51f589b5be243417bdc",
          "result" : "valid"
        },
        {
          "tcId" : 51,
          "comment" : "y-coordinate of the public key is large",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "043cbc1b31b43f17dc200dd70c2944c04c6cb1b082820c234a300b05b7763844c7b021f5b006c778ba686cd8f14d00eb7d78256d9b4fccb061d9f6553e91752afc",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fffffffffffffffffffffffeecf2230ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 52,
          "comment" : "y-coordinate of the public key is large",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "042830d96489ae24b79cad425056e82746f9e3f419ab9aa21ca1fbb11c7325e7d3e754198fa8a1175e0e3b57f1cad9f517d528290a9e2ea0f96986cf5a7af68108",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000000000000000000000000111124f400000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 53,
          "comment" : "y-coordinate of the public key is large",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04450b6b6e2097178e9d2850109518d28eb3b6ded2922a5452003bc2e4a4ec775c76b16f0e20e4f194524fc4621db095dd2e42f5b6a7329ba3d8c351e39e64029e",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000000000000000000000001ea77d449ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 54,
          "comment" : "y-coordinate of the public key is large",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "047fffffffffffffffffffffffeecf2230fffffffffffffffffffffffffffffffffffffffd383cf9bd5412f50f5b601cad34b7c00746823320bd839a71786cdbf2",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "6fd26661851a8de3c6d06f834ef3acb8f2a5f9c136a985ffe10d5eeb51edcfa3",
          "result" : "valid"
        },
        {
          "tcId" : 55,
          "comment" : "y-coordinate of the public key is large",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000111124f400000000000000000000000000000000fffffff1ed2c7e5089f4e3af4175307a6c7afad480ac3219831ec8a621cedc5f",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "f1f0e43b374feb7e7f96d4ffe7519fa8bb6c3cfd25f6f87dab2623d2a2d33851",
          "result" : "valid"
        },
        {
          "tcId" : 56,
          "comment" : "y-coordinate of the public key is large",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000001ea77d449fffffffffffffffffffffffffffffffffffffffe85043f4dda17df9b92139dd04aa75ae4cbd55da80b495713a220ebb0",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "1b085213a9c89d353e1111af078c38c502b7b4771efba51f589b5be243417bdc",
          "result" : "valid"
        },
        {
          "tcId" : 57,
          "comment" : "y-coordinate of the public key has many trailing 1's",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "049a0f0e3dd31417bbd9e298bc068ab6d5c36733af26ed67676f410c804b8b2ca1b02c82f3a61a376db795626e9400557112273a36cddb08caaa43953965454730",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fffffffffffffffffffffffca089011ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 58,
          "comment" : "y-coordinate of the public key has many trailing 1's",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048e5d22d5e53ec797c55ecd68a08a7c3361cd99ca7fad1a68ea802a6a4cb58a918ea7a07023ef67677024bd3841e187c64b30a30a3750eb2ee873fbe58fa1357b",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000001f6bd1e500000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 59,
          "comment" : "y-coordinate of the public key has many trailing 1's",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04293aa349b934ab2c839cf54b8a737df2304ef9b20fa494e31ad62b315dd6a53c118182b85ef466eb9a8e87f9661f7d017984c15ea82043f536d1ee6a6d95b509",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000000000000000000000002099f55d5ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 60,
          "comment" : "y-coordinate of the public key has many trailing 1's",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "047fffffffffffffffffffffffca089011ffffffffffffffffffffffffffffffff267bfdf8a61148decd80283732dd4c1095e4bb40b9658408208dc1147fffffff",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "44236c8b9505a19d48774a3903c0292759b0f826e6ac092ff898d87e53d353fc",
          "result" : "valid"
        },
        {
          "tcId" : 61,
          "comment" : "y-coordinate of the public key has many trailing 1's",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000000000000000000000001f6bd1e5000000000000000000000000000000004096edd6871c320cb8a9f4531751105c97b4c257811bbc32963eaf39ffffffff",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "3ebbace1098a81949d5605dd94a7aa88dc396c2c23e01a9c8cca5bb07bfbb6a1",
          "result" : "valid"
        },
        {
          "tcId" : 62,
          "comment" : "y-coordinate of the public key has many trailing 1's",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000002099f55d5ffffffffffffffffffffffffffffffff152c1a22d823a27855ed03f8e2ab5038bb1df4d87e43865f2daf6948ffffffff",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "67cb63566c7ceb12fdd85ce9d2f77c359242bbaa0ea1bf3cf510a4a26591d1f1",
          "result" : "valid"
        },
        {
          "tcId" : 63,
          "comment" : "y-coordinate of the public key has many trailing 0's",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "049a0f0e3dd31417bbd9e298bc068ab6d5c36733af26ed67676f410c804b8b2ca14fd37d0b59e5c893486a9d916bffaa8eedd8c5ca3224f73555bc6ac69abab8cf",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "7fffffffffffffffffffffffca089011ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 64,
          "comment" : "y-coordinate of the public key has many trailing 0's",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048e5d22d5e53ec797c55ecd68a08a7c3361cd99ca7fad1a68ea802a6a4cb58a9171585f8edc1098998fdb42c7be1e7839b4cf5cf6c8af14d1178c041a705eca84",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "0000000000000000000000001f6bd1e500000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 65,
          "comment" : "y-coordinate of the public key has many trailing 0's",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04293aa349b934ab2c839cf54b8a737df2304ef9b20fa494e31ad62b315dd6a53cee7e7d46a10b99156571780699e082fe867b3ea257dfbc0ac92e1195926a4af6",
          "private" : "0a0d622a47e48f6bc1038ace438c6f528aa00ad2bd1da5f13ee46bf5f633d71a",
          "shared" : "000000000000000000000002099f55d5ffffffffffffffffffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 66,
          "comment" : "y-coordinate of the public key has many trailing 0's",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "047fffffffffffffffffffffffca089011ffffffffffffffffffffffffffffffffd984020659eeb722327fd7c8cd22b3ef6a1b44c0469a7bf7df723eeb80000000",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "44236c8b9505a19d48774a3903c0292759b0f826e6ac092ff898d87e53d353fc",
          "result" : "valid"
        },
        {
          "tcId" : 67,
          "comment" : "y-coordinate of the public key has many trailing 0's",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000000000000000000000001f6bd1e500000000000000000000000000000000bf69122878e3cdf447560bace8aeefa3684b3da97ee443cd69c150c600000000",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "3ebbace1098a81949d5605dd94a7aa88dc396c2c23e01a9c8cca5bb07bfbb6a1",
          "result" : "valid"
        },
        {
          "tcId" : 68,
          "comment" : "y-coordinate of the public key has many trailing 0's",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000002099f55d5ffffffffffffffffffffffffffffffffead3e5dc27dc5d88aa12fc071d54afc744e20b2881bc79a0d25096b700000000",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "67cb63566c7ceb12fdd85ce9d2f77c359242bbaa0ea1bf3cf510a4a26591d1f1",
          "result" : "valid"
        },
        {
          "tcId" : 69,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000000000000000000000000000000000000066485c780e2f83d72433bd5d84a06bb6541c2af31dae871728bf856a174f93f4",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "cfe4077c8730b1c9384581d36bff5542bc417c9eff5c2afcb98cc8829b2ce848",
          "result" : "valid"
        },
        {
          "tcId" : 70,
          "comment" : "ephemeral key has x-coordinate p-3",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ffffffff00000001000000000000000000000000fffffffffffffffffffffffc19719bebf6aea13f25c96dfd7c71f5225d4c8fc09eb5a0ab9f39e9178e55c121",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "4c25702d10cd12ec7e77c4f1979237976d6aa809c645d75a59d399a52377eb7b",
          "result" : "valid"
        },
        {
          "tcId" : 71,
          "comment" : "ephemeral key has x-coordinate 2**16 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000000000000000000000000000000001000073ca30641acabe581170b4d5253f7a342b039a87ab2447badad08ece2cf19f52",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "4cfd639fd80c84b935c33cfaacceeb256b2f7e273c3ae5f0ff92b74957376f22",
          "result" : "valid"
        },
        {
          "tcId" : 72,
          "comment" : "ephemeral key has x-coordinate 2**32 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000100000000328bbc85099acc7685cf4bb5e18d72c57271615ccd46377bfacb0e8501aa76fb",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "581bb2ea633af1e59b15c1342d5e14adb58f613a231149f7df7a69c0eca95b2c",
          "result" : "valid"
        },
        {
          "tcId" : 73,
          "comment" : "ephemeral key has x-coordinate 2**64 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000000000000000000001000000000000000010048b687675af9815297d73a7f25b1a3c42d33c64b466991a7573b4954aa0b0",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "9920473de58a319ebd87d57f4f6c09093c5e0072c01bc8df0dc60b8a7a684c6f",
          "result" : "valid"
        },
        {
          "tcId" : 74,
          "comment" : "ephemeral key has x-coordinate 2**96 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0400000000000000000000000000000000000000010000000000000000000000007d12de58d54423eb85ae8d157ae416fb004a7eb522ac1b67047ef3cdf9acdc3f",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "d9cd0d10ed4d3dc01f4216d229e21c6a447227a5bc2592c359b2d689a2dee3a8",
          "result" : "valid"
        },
        {
          "tcId" : 75,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = -3",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "046522aed9ea48f2623b8eeae3e213b99da32e74c9421835804d374ce28fcca6622c7fda3c84b704f27ffc0b2ab350d8cbc33a34df0c811155ed4389d2710e3fa9",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "af8bc612853197a6ee8b4af7300c0bc623f0cf4e4b301f47d66c27e8ecce9268",
          "result" : "valid"
        },
        {
          "tcId" : 76,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04507442007322aa895340cba4abc2d730bfd0b16c2c79a46815f8780d2c55a2dd4619d69f9940f51663aa12381bc7cf678bd1a72a49fbc11b0b69cb22d1af9f2d",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "4e173a80907f361fe5a5d335ba7685d5eba93e9dfc8d8fcdb1dcd2d2bde27507",
          "result" : "valid"
        },
        {
          "tcId" : 77,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 5",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04085ec5a4af40176b63189069aeffcb229c96d3e046e0283ed2f9dac21b15ad3c7859f97cb6e203f46bf3438f61282325e94e681b60b5669788aeb0655bf19d38",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "d874b55678d0a04d216c31b02f3ad1f30c92caaf168f34e3a743356d9276e993",
          "result" : "valid"
        },
        {
          "tcId" : 78,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 7",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04190c25f88ad9ae3a098e6cffe6fd0b1bea42114eb0cedd5868a45c5fe277dff321b8342ef077bc6724112403eaee5a15b4c31a71589f02ded09cd99cc5db9c83",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "11a8582057463fc76fda3ab8087eb0a420b0d601bb3134165a369646931e52a6",
          "result" : "valid"
        },
        {
          "tcId" : 79,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 8",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "045f177bfe19baaaee597e68b6a87a519e805e9d28a70cb72fd40f0fe5a754ba4562ca1103f70a2006cd1f67f5f6a3580b29dc446abc90e0e910c1e05a9aa788cd",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "73220471ec8bad99a297db488a34a259f9bc891ffaf09922e6b5001f5df67018",
          "result" : "valid"
        },
        {
          "tcId" : 80,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 2**96 + 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "043476a8fa9c7448124aa945a2e1103eb91f95c7b4d91aaa1c35b8965191fc0fe04ddac138688df5123fa5760d670247893f9ad5cad5e88895a0ae7fdf97b8f412",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "f4e5f1757c8a03a3aec57b598b66a93bb356a6917e26b60489c0d06236ac6a37",
          "result" : "valid"
        },
        {
          "tcId" : 81,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0455555555555555555555555555555555555555555555555555555555555555540a46712790e63f981f0103b2a609fa691c5291a17974eb0c3b518faac21535d6",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "be033e3db6216d3b3f9d66c96ca3b24475813ba8eb7820d7d6ff29c72fd39c64",
          "result" : "valid"
        },
        {
          "tcId" : 82,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa9389142d4676cee2332eb8909fa13f95f20cdb3acc831a231802a4858a973ca63",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "a0da0b184f59ab0fdc0a6b03157c1b75269b284608b74a6e826f77104c42a9bd",
          "result" : "valid"
        },
        {
          "tcId" : 83,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04333333333333333333333333333333333333333333333333333333333333333311489212aff79cbed5b6440161d57c98a34e6b80ec3854c3b2855af35f0d17e1",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "ac03527f79d801081da4c0adcbba92e983ed46254354fd98e23ab659ee02a6cd",
          "result" : "valid"
        },
        {
          "tcId" : 84,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc75552486fd8e6bc424492204207fece59d93fb124390497f841d9c808c8cc3ec",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "0d2759dae57c906a8cca8541a56f429a6ffedf028212f7f0ad06b696ee655caf",
          "result" : "valid"
        },
        {
          "tcId" : 85,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f03425ba0d8a018b42861e816c79a17d3b47df8f5f7107c181168e9edc62cb3cf",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "ff6e930d08290769ef982bc568b0b45f88b7d5219b00667820793b3e824c1615",
          "result" : "valid"
        },
        {
          "tcId" : 86,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f017b41bf72c9f5ec204dba0deb5dfaa43b793a83b243060d0375b969e0416bd56",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "bd106c43e45272091553f476e015fbb0982764c018d5f0666834ae0dc5dca131",
          "result" : "valid"
        },
        {
          "tcId" : 87,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0400ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00f918461138bca461c00fc474da0e4e35309be520e2e109e17a1cecb892b96598f6",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "b661d2bf35efdd264f32a3bb254cd6443e8115a297aba1d31610495d7c560dd5",
          "result" : "valid"
        },
        {
          "tcId" : 88,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00feff2d6c62a47883c5899cac06b1367c21948689d522674a60f43f4b808adf618b0b",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "e818ea3c65c24330b7b8894680fe349b17f450e9d878292f1390ead78085ed1f",
          "result" : "valid"
        },
        {
          "tcId" : 89,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "047fff0001fffc0007fff0001fffc0007fff0001fffc0007fff0001fffc0007fff2e2213caf03033e0fd0f7951154f6e6c3a9244a72faca65e9ce9eeb5c8e1cea9",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "55d0a203e22ffb523c8d2705060cee9d28308b51f184beefc518cff690bad346",
          "result" : "valid"
        },
        {
          "tcId" : 90,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "048000fffe0003fff8000fffe0003fff8000fffe0003fff8000fffe0003fff7ffe1d3b684a87958143f250bf5a2f7859fd036620b4dc18dacd1d0c8c42eeb2e54a",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "50af11f10d130df5f9adcdd0103ff3d42808582487330932c2546022bf7c6a18",
          "result" : "valid"
        },
        {
          "tcId" : 91,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000fffe7ccb5c10c028f331230dd0a005e9faf37864c198c5bf7d91bdd71624520d4b04",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "ec90224ee61b2ed7cb6b9716e248aa099dbf1eae41d1ca477e8e5ba4a512913e",
          "result" : "valid"
        },
        {
          "tcId" : 92,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000fffefffd620bbe0a621748ea2b0e0dfa463169e7c805412f4374dc9755c4db93989a7529",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "cf1acfa0595265623fbfee5d8498e609b6590760d1b04f31f3470cd1af3ba9dd",
          "result" : "valid"
        },
        {
          "tcId" : 93,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "048000003ffffff0000007fffffe000000ffffffc000001ffffff8000003fffffc0c3527bd081c1c07b313bc1a0c3f845fb2fe22557699ccc8f1354e61a27b7f88",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "967e55f853dad60f678bd35a46bd3c7dc6cf7d18526ac0890af80ade84461005",
          "result" : "valid"
        },
        {
          "tcId" : 94,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "047fffffe000000ffffffc000001ffffff8000003ffffff0000007fffffdfffffe232aa1c67f77cfb00e73898cf431831073c6b2a4bfa1135881a0595720759ece",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "f21a20024d8315ae877f90af5b0c68b6a50214fea797942870c35f4ca127e591",
          "result" : "valid"
        },
        {
          "tcId" : 95,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 52",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000003ffffff0000003ffffff0000003ffffff0000003ffffff0000003ffffff1582fa32e2d4a89dfcfb3d0b149f667dba3329490f4d64ee2ad586c0c9e8c508",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "06fa1059935e47a9fd667e13f469614eb257cc9a7e3fc599bfb92780d59b146d",
          "result" : "valid"
        },
        {
          "tcId" : 96,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 52",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04fffffc000000ffffffc000000ffffffc000000ffffffc000000ffffffbffffff73f471909cfde3db2c13523bcf372877c28d23ed1ff6a3326df6bbc4b756723e",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "2e83d496538e7bd16b530d93b960317394b5f8b9da5128a03d08b3c8fbb46561",
          "result" : "valid"
        },
        {
          "tcId" : 97,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 60",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ffff00000003fffffff00000003fffffff00000003fffffff00000003fffffff2c63650e6a5d332e2987dd09a79008e8faabbd37e49cb016bfb92c8cd0f5da77",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "e3c18e7d7377dc540bc45c08d389bdbe255fa80ca8faf1ef6b94d52049987d21",
          "result" : "valid"
        },
        {
          "tcId" : 98,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 60",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000fffffffc0000000fffffffc0000000fffffffc0000000fffffffbfffffff71664ef90d87525ddf7815e676ae3b96c25ed9e7bdaa05da96227a1fe38c3d11",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "bc0a152832a8972bbeceb522e661e5249cc7455bf93cba324e810ab62a2e58c1",
          "result" : "valid"
        },
        {
          "tcId" : 99,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 62",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ff00000001fffffffc00000007fffffff00000001fffffffc00000007fffffff5df80fc6cae26b6c1952fbd00ed174ee1209d069335f5b48588e29e80b9191ad",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "f503ac65637e0f17cb4408961cb882c875e4c6ef7a548d2d52d8c2f681838c55",
          "result" : "valid"
        },
        {
          "tcId" : 100,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 62",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0400fffffffe00000003fffffff80000000fffffffe00000003fffffff8000000007bc25fb4d2b4cd12a16515725d64cdbd5bc86b7f84ef005c9e51d0700a3a4b8",
          "private" : "55d55f11bb8da1ea318bca7266f0376662441ea87270aa2077f1b770c4854a48",
          "shared" : "68e8765c71a63f3458e8edb2e52f499a1de13ae1ff1c95f18c4adad9d898667a",
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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          "result" : "valid"
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        {
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        {
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          "result" : "valid"
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        {
          "tcId" : 256,
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          "result" : "valid"
        },
        {
          "tcId" : 257,
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            "EdgeCaseDoubling"
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          "public" : "04a7b513f96266414fa6ff439a35d8f09ab615db0bb6a3b1a120c217683f724b2342007a2c9feabcd6249a0d17acecd995e2a217fb5f07bec96938016e297efa52",
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          "result" : "valid"
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        {
          "tcId" : 258,
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          "result" : "valid"
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        {
          "tcId" : 259,
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          "public" : "040e3aa971bacdace350dc0957fa5bde0946324eb139939d7fc1997c701effd04a4e6c3625d9564168d3a752961221a1de8cf5f3d603752a8c2e6277ac3a918c25",
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          "result" : "valid"
        },
        {
          "tcId" : 260,
          "comment" : "point with coordinate y = 1 in left to right addition chain",
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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        {
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          "result" : "valid"
        },
        {
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          "result" : "valid"
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        {
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          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
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          "result" : "valid"
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        {
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          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
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          "public" : "042e2bec134249379d57700301f3a58e4b395a4d28370d2a06e65e7ac89ed76ac697dc960bd795cdf4fbcfdd75149057b8e022331c7b5461f383ac589d764df333",
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          "result" : "valid"
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        {
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          "comment" : "point with coordinate y = 1 in right to left addition chain",
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          "result" : "valid"
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        {
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        {
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          "public" : "04e5c5dc3fd88d85668b3b709fd6b4232f1f80949cbccb5588363e6c217a2b3ed88dbd0d6e3cc97f3081d16602aa3d1b655ee0791c87fcb5abe6217d8c8513807e",
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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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          "result" : "valid"
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        {
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          "private" : "03",
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        {
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          "private" : "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid"
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        {
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          "private" : "0100000000000000000000000000000000000000000000000000000000000000",
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          "result" : "valid"
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        {
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          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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          "result" : "valid"
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        {
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          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "008000000000000000000000000000000000000000000000000000000000000000",
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          "result" : "valid"
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        {
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          "flags" : [
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          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e83f3b9cac2fc632551",
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          "result" : "valid"
        },
        {
          "tcId" : 321,
          "comment" : "edge case private key",
          "flags" : [
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          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3a9cac2fc632551",
          "shared" : "fe7496c30d534995f0bf428b5471c21585aaafc81733916f0165597a55d12cb4",
          "result" : "valid"
        },
        {
          "tcId" : 322,
          "comment" : "edge case private key",
          "flags" : [
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          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b1cac2fc632551",
          "shared" : "348bf8042e4edf1d03c8b36ab815156e77c201b764ed4562cfe2ee90638ffef5",
          "result" : "valid"
        },
        {
          "tcId" : 323,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac1fc632551",
          "shared" : "6e4ec5479a7c20a537501700484f6f433a8a8fe53c288f7a25c8e8c92d39e8dc",
          "result" : "valid"
        },
        {
          "tcId" : 324,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc6324f3",
          "shared" : "f7407d61fdf581be4f564621d590ca9b7ba37f31396150f9922f1501da8c83ef",
          "result" : "valid"
        },
        {
          "tcId" : 325,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632533",
          "shared" : "82236fd272208693e0574555ca465c6cc512163486084fa57f5e1bd2e2ccc0b3",
          "result" : "valid"
        },
        {
          "tcId" : 326,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632543",
          "shared" : "06537149664dba1a9924654cb7f787ed224851b0df25ef53fcf54f8f26cd5f3f",
          "result" : "valid"
        },
        {
          "tcId" : 327,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254b",
          "shared" : "f2b38539bce995d443c7bfeeefadc9e42cc2c89c60bf4e86eac95d51987bd112",
          "result" : "valid"
        },
        {
          "tcId" : 328,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254e",
          "shared" : "85a0b58519b28e70a694ec5198f72c4bfdabaa30a70f7143b5b1cd7536f716ca",
          "result" : "valid"
        },
        {
          "tcId" : 329,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "0431028f3377fc8f2b1967edaab90213acad0da9f50897f08f57537f78f116744743a1930189363bbde2ac4cbd1649cdc6f451add71dd2f16a8a867f2b17caa16b",
          "private" : "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f",
          "shared" : "027b013a6f166db655d69d643c127ef8ace175311e667dff2520f5b5c75b7659",
          "result" : "valid"
        },
        {
          "tcId" : 330,
          "comment" : "CVE-2017-8932",
          "flags" : [
            "CVE-2017-8932"
          ],
          "public" : "04023819813ac969847059028ea88a1f30dfbcde03fc791d3a252c6b41211882eaf93e4ae433cc12cf2a43fc0ef26400c0e125508224cdb649380f25479148a4ad",
          "private" : "2a265f8bcbdcaf94d58519141e578124cb40d64a501fba9c11847b28965bc737",
          "shared" : "4d4de80f1534850d261075997e3049321a0864082d24a917863366c0724f5ae3",
          "result" : "valid"
        },
        {
          "tcId" : 331,
          "comment" : "CVE-2017-8932",
          "flags" : [
            "CVE-2017-8932"
          ],
          "public" : "04cc11887b2d66cbae8f4d306627192522932146b42f01d3c6f92bd5c8ba739b06a2f08a029cd06b46183085bae9248b0ed15b70280c7ef13a457f5af382426031",
          "private" : "313f72ff9fe811bf573176231b286a3bdb6f1b14e05c40146590727a71c3bccd",
          "shared" : "831c3f6b5f762d2f461901577af41354ac5f228c2591f84f8a6e51e2e3f17991",
          "result" : "valid"
        },
        {
          "tcId" : 332,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 333,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 334,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000000000000ffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 335,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000000000000ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 336,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 337,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000001",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 338,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000000000001ffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 339,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000000000001ffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 340,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000fffffffffffffffffffffffe0000000000000000000000000000000000000000000000000000000000000000",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 341,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000fffffffffffffffffffffffe0000000000000000000000000000000000000000000000000000000000000001",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 342,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000fffffffffffffffffffffffeffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 343,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000fffffffffffffffffffffffeffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 344,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000ffffffffffffffffffffffff0000000000000000000000000000000000000000000000000000000000000000",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 345,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000ffffffffffffffffffffffff0000000000000000000000000000000000000000000000000000000000000001",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 346,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000ffffffffffffffffffffffffffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 347,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffff00000001000000000000000000000000ffffffffffffffffffffffffffffffff00000001000000000000000000000000ffffffffffffffffffffffff",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 348,
          "comment" : "",
          "flags" : [
            "InvalidEncoding"
          ],
          "public" : "",
          "private" : "7e4aa54f714bf01df85c50269bea3a86721f84afe74f7b41ea58abcf3474e88d",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 349,
          "comment" : "invalid public key",
          "flags" : [
            "InvalidCompressedPublic",
            "CompressedPoint"
          ],
          "public" : "02fd4bf61763b46581fd9174d623516cf3c81edd40e29ffa2777fb6cb0ae3ce535",
          "private" : "6f953faff3599e6c762d7f4cabfeed092de2add1df1bc5748c6cbb725cf35458",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 350,
          "comment" : "public key is a low order point on twist",
          "flags" : [
            "WrongCurve",
            "CompressedPoint"
          ],
          "public" : "03efdde3b32872a9effcf3b94cbf73aa7b39f9683ece9121b9852167f4e3da609b",
          "private" : "00d27edf0ff5b6b6b465753e7158370332c153b468a1be087ad0f490bdb99e5f02",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 351,
          "comment" : "public key is a low order point on twist",
          "flags" : [
            "WrongCurve",
            "CompressedPoint"
          ],
          "public" : "02efdde3b32872a9effcf3b94cbf73aa7b39f9683ece9121b9852167f4e3da609b",
          "private" : "00d27edf0ff5b6b6b465753e7158370332c153b468a1be087ad0f490bdb99e5f03",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 352,
          "comment" : "public key is a low order point on twist",
          "flags" : [
            "WrongCurve",
            "CompressedPoint"
          ],
          "public" : "02c49524b2adfd8f5f972ef554652836e2efb2d306c6d3b0689234cec93ae73db5",
          "private" : "0095ead84540c2d027aa3130ff1b47888cc1ed67e8dda46156e71ce0991791e835",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 353,
          "comment" : "public key is a low order point on twist",
          "flags" : [
            "WrongCurve",
            "CompressedPoint"
          ],
          "public" : "0318f9bae7747cd844e98525b7ccd0daf6e1d20a818b2175a9a91e4eae5343bc98",
          "private" : "00a8681ef67fb1f189647d95e8db00c52ceef6d41a85ba0a5bd74c44e8e62c8aa4",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 354,
          "comment" : "public key is a low order point on twist",
          "flags" : [
            "WrongCurve",
            "CompressedPoint"
          ],
          "public" : "0218f9bae7747cd844e98525b7ccd0daf6e1d20a818b2175a9a91e4eae5343bc98",
          "private" : "00a8681ef67fb1f189647d95e8db00c52ceef6d41a85ba0a5bd74c44e8e62c8aa5",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 355,
          "comment" : "public key is a low order point on twist",
          "flags" : [
            "WrongCurve",
            "CompressedPoint"
          ],
          "public" : "03c49524b2adfd8f5f972ef554652836e2efb2d306c6d3b0689234cec93ae73db5",
          "private" : "0095ead84540c2d027aa3130ff1b47888cc1ed67e8dda46156e71ce0991791e834",
          "shared" : "",
          "result" : "invalid"
        }
      ]
    }
  ]
}