noble-curves/test/wycheproof/ecdh_secp224r1_ecpoint_test.json

{
  "algorithm" : "ECDH",
  "schema" : "ecdh_ecpoint_test_schema.json",
  "generatorVersion" : "0.9rc5",
  "numberOfTests" : 458,
  "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."
    },
    "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."
    }
  },
  "testGroups" : [
    {
      "type" : "EcdhEcpointTest",
      "curve" : "secp224r1",
      "encoding" : "ecpoint",
      "tests" : [
        {
          "tcId" : 1,
          "comment" : "normal case",
          "flags" : [
            "Normal"
          ],
          "public" : "047d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc719b01d050dfbe653e72f39491be87fb1a2742daa6e0a2aada98bb1aca",
          "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328",
          "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f",
          "result" : "valid"
        },
        {
          "tcId" : 2,
          "comment" : "compressed public key",
          "flags" : [
            "CompressedPublic",
            "CompressedPoint"
          ],
          "public" : "027d8ac211e1228eb094e285a957d9912e93deee433ed777440ae9fc71",
          "private" : "565577a49415ca761a0322ad54e4ad0ae7625174baf372c2816f5328",
          "shared" : "b8ecdb552d39228ee332bafe4886dbff272f7109edf933bc7542bd4f",
          "result" : "acceptable"
        },
        {
          "tcId" : 3,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 9",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04e73a6ca72f3a2fae6e0a01a0ed03bfa3058b04576942eaf063095e62ca16fd31fa0f38eeb592cbeea1147751fdd2a5b6cc0ead404467a5b6",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000000000000000000000000000000000000000000000000003",
          "result" : "valid"
        },
        {
          "tcId" : 4,
          "comment" : "shared secret has x-coordinate p-3",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0416a5195d1cda78c3777959d76990432249fb46d0c62fca03a7f374645892ac6a0ec55450c6ba24eb0291716d064748867c738a15d3e2cc8d",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "fffffffffffffffffffffffffffffffefffffffffffffffffffffffe",
          "result" : "valid"
        },
        {
          "tcId" : 5,
          "comment" : "shared secret has x-coordinate 2**16 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04d4ac396e10d0116fcdd9b22ee5853588a187f5a40d121896c823b49217df72c890a1bfd6e0ef5858ef70872c256f925db950d7edf697d45e",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000000000000000000000000000000000000000000000010000",
          "result" : "valid"
        },
        {
          "tcId" : 6,
          "comment" : "shared secret has x-coordinate 2**32 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04e90113b177be4b804d482960a7a0aea4f5a8864f44058b689189a3f0547d80699fd5c78b0e1789a84fb01425c85daa4ab779af2cdc6d9988",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000000000000000000000000000000000000000000100000000",
          "result" : "valid"
        },
        {
          "tcId" : 7,
          "comment" : "shared secret has x-coordinate 2**64 + 1",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04fe747bd2b9249ac9a173737e3a771170026d2ece876515f6dc2b44bc2f2a428419152786a0c5da58241e3850efa8d5a02dc9d717a017901e",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000000000000000000000000000000000010000000000000001",
          "result" : "valid"
        },
        {
          "tcId" : 8,
          "comment" : "shared secret has x-coordinate 2**96 + 0",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "044e0ac10173611c326aebc150cef333aecc9389242ffb18fe398d31b8005bc5735238c5be5418a3e38a9410edf0c98f3ff2f82f80a73d7864",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000000000000000000000000001000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 9,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = -5",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0446cbc52ab4329d5dad21ae80f68c10da1b437711c3729b69ac5a9e975ea64fd7728ccf2db0a826b4791c0b630b95c23abe88eeef39d2386d",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "17021d69b6a0cf523b196a54eb0d41721a047f7ce8bb7224a92e0618",
          "result" : "valid"
        },
        {
          "tcId" : 10,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = -1",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0467bf0811ab605393453b759f0381a2e8b0550e5cb3e4dacfe06ee5bdbd9e7609f68aaf22d642050bff2381563e7b8239de68a56a5508c274",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "1fb31c2603c805830535e5fa50cf9d53d34696193e675a18e42541e8",
          "result" : "valid"
        },
        {
          "tcId" : 11,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04be74583cb9d3a05ae54923624e478a329a697d842dfae33141c844d7d9ba4fc96e0fe716ac0542e87368662fc2f0cb9b0ae57936ddec7190",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "6d7e41821abe1094d430237923d2a50de31768ab51b12dce8a09e34c",
          "result" : "valid"
        },
        {
          "tcId" : 12,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 5",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "041f441c98eda956a6a7fdbfd8d21910860ab59d16c3e52f8e7fad6ca5df61a55fc508fc0499c55492f1e87bb2faa0cb4170b79f3a85ec2f3d",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "661ac958c0febbc718ccf39cefc6b66c4231fbb9a76f35228a3bf5c3",
          "result" : "valid"
        },
        {
          "tcId" : 13,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 6",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "048bd5f03391eeeae1744e8fc53d314efffafa4d3fa4f1b95c3388a9cd7c86358b273119c537133eb55e79c6ac510b10980b379b919ccf2e2f",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "0a15c112ff784b1445e889f955be7e3ffdf451a2c0e76ab5cb32cf41",
          "result" : "valid"
        },
        {
          "tcId" : 14,
          "comment" : "shared secret has x-coordinate that satisfies x**2 = 7",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04ce9631b6a16227778625c8e5421ae083cdd913abefde01dbe69f6c2b95386aff2b483b2c47151cfaabfd000614c683ce2e1778221ae42c1b",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "62989eaaa26a16f07330c3c51e0a4631fd016bfcede26552816aee39",
          "result" : "valid"
        },
        {
          "tcId" : 15,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "046bc7672f08b97ac37cb61f8106482261e5897c9f4bd1f04a3c217c2a588116c183ea709045197e5e371f1d5254075fe581c93c4583769ec3",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "55555555555555555555555555555555555555555555555555555555",
          "result" : "valid"
        },
        {
          "tcId" : 16,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04ef4c334b8068471652b3b02097069516248148f0bd200c2b731feb806b193d517abc882bf9474ad6f2caca9907357cc81baee506b40de849",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
          "result" : "valid"
        },
        {
          "tcId" : 17,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "046457aa5bcdfab29cf9d920e06d96840154842034505189757540a6e9158c9d10d3fc483357859568c681f46ffc8a1a86a43957002f52469d",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "33333333333333333333333333333333333333333333333333333331",
          "result" : "valid"
        },
        {
          "tcId" : 18,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "046a4ede504670db913ab932bb80356f3c88326035b442a7f25458f20b304acdd7ad7b5bfd5d9680bdb3d2aa7f8589cef77f5663bdc4e285e2",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "cccccccccccccccccccccccccccccccccccccccccccccccccccccccb",
          "result" : "valid"
        },
        {
          "tcId" : 19,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04d152a4ec1ffdc2eaf731d332813896abfb9dd6925967afd99e053e11ac54b5ac4de15776652fd6432c0e5196a6b7e11e9163fa01e815e8e4",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f",
          "result" : "valid"
        },
        {
          "tcId" : 20,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0441a70f47f6d9d87af84be4be6f9ba540aeb73729cc01be6cb33f07a1850e317ee3678e123c11fa69788f13e37ea5d5a779080c23c2847437",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0",
          "result" : "valid"
        },
        {
          "tcId" : 21,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "044b4178366d4542d64dc18e285e416543f97b70aebc3145a388f6ae383c0ffe2cae4c6a607685cfcd2419a54093e443a0ebc610fd39525ebb",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00fe",
          "result" : "valid"
        },
        {
          "tcId" : 22,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "043e8b2eb992da91bdb53eb029bae6433b5d3791ae1df029972a9f1ae5c6e846917a003321a05faf21c78919ff9cfe4a4fc89ad90084ac3df4",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00feff",
          "result" : "valid"
        },
        {
          "tcId" : 23,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "045daff732cefe704eaa6d4a7bebc1cb2f2cb58fdcbdf408fcd385922ec58170aa600a48d74de086310ba148c4dbd4846373142651e109227b",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "fffc0007fff0001fffc0007fff0001fffc0007fff0001fffc0007ffd",
          "result" : "valid"
        },
        {
          "tcId" : 24,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04facfae468a16b900bd63b2c0d7f26324afa71f2c2fe8c5656e4fe7c38cb080e0679cee7cf12961e8dff73f73e4a7c52e1e9bac65f5500c2c",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "0003fff8000fffe0003fff8000fffe0003fff8000fffe0003fff7ff9",
          "result" : "valid"
        },
        {
          "tcId" : 25,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0408fcfc1a63c82860be12e4137433dfc40be9acdd245f9a8c4e56be61a385fc09f808383383f4b1d0d5365b6e5dcfacdc19bc7bcfed221274",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff",
          "result" : "valid"
        },
        {
          "tcId" : 26,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "0428f884bc3973504c77d2ab533511eb8f71f95dc96c1d174a61b86e35b539de52375f5607302123eb812993bc986132f25609941cdaa9619c",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000fffefffb",
          "result" : "valid"
        },
        {
          "tcId" : 27,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04b1e484925018729926acda56ff3e2f6c1e7e8f162b178d8e8afb45564fceaa6da5d998fe26b6b26a055169063a5ab6908852ca8b54e2de6c",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "fffff0000007fffffe000000ffffffc000001ffffff8000003ffffff",
          "result" : "valid"
        },
        {
          "tcId" : 28,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04413cfa4380572091614367ed24cf07696e8290bff738bf501e253f9a3b8c6ffc4af5fabcda227ac25c316f78da58db388adaee6da4ab4b7c",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000ffffffc000001ffffff8000003ffffff0000007fffffe000000",
          "result" : "valid"
        },
        {
          "tcId" : 29,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 52",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04af14547c20afbd91bfe64ea03d45a76a71241f23520ef897ff91eff1b54ca6ca8c25fd73852ec6654617434eff7f0225684d4dea7a4f8a97",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "ffff0000003ffffff0000003ffffff0000003ffffff0000003ffffff",
          "result" : "valid"
        },
        {
          "tcId" : 30,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 52",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04cf07e1b2a6ab33dcca1d324fff619d071dc775776ccddba447e3072e376c32b6636ba5dddc9a57504d432a73b166d0daa156bffed5f70640",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "0000ffffffc000000ffffffc000000ffffffc000000ffffffbfffffd",
          "result" : "valid"
        },
        {
          "tcId" : 31,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 60",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04cdae28d30e8f74b4a879a9ff114fd8079989b6a82d69904064183997e0773131a05d8d98ae14cc966dc062d86a0a754e3f8ded6f9eb957ba",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "0003fffffff00000003fffffff00000003fffffff00000003ffffffd",
          "result" : "valid"
        },
        {
          "tcId" : 32,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 60",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04bed0eb86f4c8250982af3e8f3566440da6786c8c95ecb18fd6bb8a41c933776370588415827b36d4cec14221fa85e2b1f47e5302754f14ce",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "fffc0000000fffffffc0000000fffffffc0000000fffffffbfffffff",
          "result" : "valid"
        },
        {
          "tcId" : 33,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 62",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "043c658580e6ba04d5d9d333a924ef11189a04599d108ce6da818d926bcae12ea69ad62b76bcdd58ace1dc826a3c2e9695cd66a8a89c0d52e2",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "01fffffffc00000007fffffff00000001fffffffc00000007ffffffc",
          "result" : "valid"
        },
        {
          "tcId" : 34,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 62",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "041f1c75d712628da2badbb8f524e82db560bb9596c91f8a74d64397101b4f3854ec40ed035292de66768ea9dc2d80db1476c896673f979e46",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "fe00000003fffffff80000000fffffffe00000003fffffff80000000",
          "result" : "valid"
        },
        {
          "tcId" : 35,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 64",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04937eb09fb145c8829cb7df20a4cbeed396791373de277871d6c5f9cc3b5b4fd56464a71fc4a2a6af3bd251952bffa829489e68a8d06f96b6",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "ffffffff00000000ffffffff00000000ffffffff00000000ffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 36,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 64",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "046da2de11fd2520b48292b20c9405c5c8568f05f46ee3664a056e2046914d18f3ee5d52b5aced99c440dd382b9e27172f9cf76e7c44264d6e",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000ffffffff00000000ffffffff00000000fffffffeffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 37,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 112",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "046408993f6ff171a85e359c3660f15df11b327cbadee34d2f1bcfb7c916bf48d5fb5a40ddb5c5e89d97b44974a91ad6bbf8c724e0b898ff4f",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000000000ffffffffffffff00000000000000fffffffffffffe",
          "result" : "valid"
        },
        {
          "tcId" : 38,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 112",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04f2e507dbac85a75c6f418fb522a4c6d6775cc8096ebeef9d926fd3f56aae3f45d9b8a6e916a66fb1c0062e6b727f423ebd3d128fd03c9e73",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "ffffffffffffff00000000000000ffffffffffffff00000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 39,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 128",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "040ae8667f35afac2862f10a30826c6e256ca3a05e4ee6b6fe2939701bc109a4d7f8bd6557d4931bb6348588530e59b7961b7c8b819b9594b4",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "00000000ffffffffffffffff0000000000000000fffffffffffffffd",
          "result" : "valid"
        },
        {
          "tcId" : 40,
          "comment" : "shared secret has x-coordinate with repeating bit-pattern of size 128",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "040b089257cc02f7b87e1c6c7e4af4356a51efe709302004bdec6659e1221aa1ba319b6801b5c594fc12eb3a8ba784db4dab61183febcf240f",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "ffffffff0000000000000000fffffffffffffffeffffffffffffffff",
          "result" : "valid"
        },
        {
          "tcId" : 41,
          "comment" : "shared secret has an x-coordinate of approx p//3",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04df42e9d13c7ed6f44cc31a41f3cfb79b7e475d6772427fa46ce3483a06a49c883ee9e3207c6b9a317f34c3b7367185f2d5e40958c39a2799",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "55555555555555555555555555555555000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 42,
          "comment" : "shared secret has an x-coordinate of approx p//5",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04a02061fc73fd77f834ee1b923d6aa04cd05e00c94f491f3404a1bc49cdbb36a271e4c7df7ef2cbf724b2b8c9a0c1b62e43217e9dafb7edf7",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "33333333333333333333333333333333000000000000000000000001",
          "result" : "valid"
        },
        {
          "tcId" : 43,
          "comment" : "shared secret has an x-coordinate of approx p//7",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "04e9578851c3709034c312eed27300fb41798841cdecdd592bf1b262fd44b483f368201b442f6e2c520b6d479aa3a41e71309cb769f03d59a6",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "249249249249249249249249249249246db6db6db6db6db6db6db6de",
          "result" : "valid"
        },
        {
          "tcId" : 44,
          "comment" : "shared secret has an x-coordinate of approx p//9",
          "flags" : [
            "EdgeCaseSharedSecret"
          ],
          "public" : "041fb9c30ecfeb702b7639129133b1e870695b8f7d425ae1a21759d1269f799a685173025a9a08e1b52dc232882e713fa00e2313a74f38d0aa",
          "private" : "00a2b6442a37f9201b56758034d2009be64b0ab7c02d7e398cac9665d6",
          "shared" : "1c71c71c71c71c71c71c71c71c71c71c555555555555555555555558",
          "result" : "valid"
        },
        {
          "tcId" : 45,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 9",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000000000000000000000000000037cac269c67bd55ea14efff4eadefe5e74978514af14c88fab46ec046",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "3fa0b9ff70b884f9f57bb84f7a9532d93f6ba803f89dd8ff008177d7",
          "result" : "valid"
        },
        {
          "tcId" : 46,
          "comment" : "ephemeral key has x-coordinate p-3",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04fffffffffffffffffffffffffffffffefffffffffffffffffffffffe1cbdce74840f9f0f8f882f0a0bac2b3f191e0a4b9e544b0e7c2624a8",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "8d40f0e3b50caeb2158815fd05571c69882b6a1566c646ca6cb20086",
          "result" : "valid"
        },
        {
          "tcId" : 47,
          "comment" : "ephemeral key has x-coordinate 2**16 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000000000000000000000000100000cefdffb758126bd7930a13e2bff76efdd41e5699682c9804d11b2c4",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "858600aa07348c7c2d149fe37462f5a333d47dedf407d91fbba8c50d",
          "result" : "valid"
        },
        {
          "tcId" : 48,
          "comment" : "ephemeral key has x-coordinate 2**32 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000000000000000000001000000000ab03878f5dc8742a8f0b5b9d4daf2d53ee329decc7b6cc0aaf5e978",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "b18b6967d99bd9c8b7d4b4d721372dbbbac60d23ea30d01aebbf2b0c",
          "result" : "valid"
        },
        {
          "tcId" : 49,
          "comment" : "ephemeral key has x-coordinate 2**64 + 1",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000000000000000000000000000000000000001000000000000000172f4a7664afa9a17c2272cc6adb8f678313b3602fdfb7116457431d5",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "b93f7abe59c27b6a146d78c35c60d0924ec1cd698c9cd2ba2eead0cd",
          "result" : "valid"
        },
        {
          "tcId" : 50,
          "comment" : "ephemeral key has x-coordinate 2**96 + 0",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04000000000000000000000000000000010000000000000000000000005bb0f9c48021f45a6acaa499d6dea754cdef13a423d2fa455e2580e2",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "d7f50ec1573382ad63935cf4449f6a43c1f7df3cecfb40213d0f3ceb",
          "result" : "valid"
        },
        {
          "tcId" : 51,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = -5",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0417021d69b6a0cf523b196a54eb0d41721a047f7ce8bb7224a92e06183cc8beb033b21af8111250180f1fdc4e50df99ef0e3c1f8a3318ae62",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "90fbbd1e0fb02cddb92142c060aeb330d6db97a6fb0553de887bb0b6",
          "result" : "valid"
        },
        {
          "tcId" : 52,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = -1",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "041fb31c2603c805830535e5fa50cf9d53d34696193e675a18e42541e803ff8247c07bfa708c892319099d649156664dfd158e093b8372fc81",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "07e1cacb842dd92c5419539aed9f21d07d8fd02ffddd6fea15a5d395",
          "result" : "valid"
        },
        {
          "tcId" : 53,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "046d7e41821abe1094d430237923d2a50de31768ab51b12dce8a09e34c276cf273d75d367820dd556182def0957af0a314f48fed227c298dc0",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "cfc39ccacb94ad0e0552b2e47112f60fbbe7ae0dc32230b9273dd210",
          "result" : "valid"
        },
        {
          "tcId" : 54,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 5",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04661ac958c0febbc718ccf39cefc6b66c4231fbb9a76f35228a3bf5c3103b8040e3cb41966fc64a68cacb0c14053f87d27e8ed7bf2d7fe51b",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "1530fd9caf03737af34a4ba716b558cbecbc35d18402535a0a142313",
          "result" : "valid"
        },
        {
          "tcId" : 55,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 6",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040a15c112ff784b1445e889f955be7e3ffdf451a2c0e76ab5cb32cf413d4df973c563c6decdd435e4f864557e4c273096d9941ca4260a266e",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "77ec668a00f72d85aa527624abb16c039fe490d17dd6c455a1ed7fd8",
          "result" : "valid"
        },
        {
          "tcId" : 56,
          "comment" : "ephemeral key has x-coordinate that satisfies x**2 = 7",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0462989eaaa26a16f07330c3c51e0a4631fd016bfcede26552816aee39389ee9436d616cab90032931aa7fbbfcfc13309f61e2423cc8dab93c",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "a3f432f6aba9a92f49a5ea64ffe7059a9d9b487a0b5223ddc988208b",
          "result" : "valid"
        },
        {
          "tcId" : 57,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04555555555555555555555555555555555555555555555555555555550c1ca442559b6998eb3ea48eb3f21cea4ad0b747612738d870d05594",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "ee9ff6bf79144e5e54f5fa4cda2387aebb0d8140b6187188ab65a522",
          "result" : "valid"
        },
        {
          "tcId" : 58,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 2",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa022bca863ea9f3d22101a5552d6bd6b1fc08ff7c1021d3004db64338",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "cd48c1398756dc503daad03113fd3e4daa0689beb96d6ca05903a487",
          "result" : "valid"
        },
        {
          "tcId" : 59,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "043333333333333333333333333333333333333333333333333333333128573dc1c115f3520cd62adb84a0bec27229a18a31ac086a836a0aa6",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "6db90240aec12ca0923c7edbd3d30a95421808a3ce346c978954c067",
          "result" : "valid"
        },
        {
          "tcId" : 60,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 4",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04cccccccccccccccccccccccccccccccccccccccccccccccccccccccb7c29708cee7529d701ff21f35718730da3c4202e0f6f8c05a4d732c7",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "39a7ab6e1e2eaa9ad894245820b27333679c98034e8597331c7b687a",
          "result" : "valid"
        },
        {
          "tcId" : 61,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f69e21ee95255c99061d5c05671aee696a55ea6b04ad8beeeda963439",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "79843c3e1672863ea0bf03580d760e8d8e82d43ab655ca977b9eeff9",
          "result" : "valid"
        },
        {
          "tcId" : 62,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 8",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f0f00f5f9bcf35677b4b7e2a99dcc8afe9d405f7dcfaed86c560a49d2ec7",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "3a8147b9c4e5ac94b694a31d298583c9ebb06f6fa6799dc83b20460e",
          "result" : "valid"
        },
        {
          "tcId" : 63,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0400ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00fe2e26508f940e2a604c476ca1c860a1a57cf000fede55936b68e796cf",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "ee9ae2a96c36c1add9abf355051a71a3bd6dd70aa5f6f57c70091e14",
          "result" : "valid"
        },
        {
          "tcId" : 64,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 16",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00ff00feff3da6a8cfca51eb5c115422234387b3c1dacbe3d63e9f9601fae97702",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "cf2f7a650234a96dd3f8825e14a71a62748a9918aade096c4758cd5e",
          "result" : "valid"
        },
        {
          "tcId" : 65,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04fffc0007fff0001fffc0007fff0001fffc0007fff0001fffc0007ffd2a916802abd74d59fe5fd3b3f5b66e48602e5095a358492b717bb9d2",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "3fb1b6d243b9760825122002bb1e0a90fff03779ee8234cd9fd072a7",
          "result" : "valid"
        },
        {
          "tcId" : 66,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 30",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040003fff8000fffe0003fff8000fffe0003fff8000fffe0003fff7ff9513fed16563dd63bb4d5df7ceec4d0e6a4c6edf8015492e2a240d641",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "357d8be2c3fb007a600fd5b20a2c25b87784d0b53261411a06c272a1",
          "result" : "valid"
        },
        {
          "tcId" : 67,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "040000ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000ffff77c5cfa4e2c384938d48bd8dd98f54c86b279f1df8c0a1f6692439c9",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "d1976a8ef5f54f24f5a269ad504fdca849fc9c28587ba294ef267396",
          "result" : "valid"
        },
        {
          "tcId" : 68,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 32",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04ffff0000ffff0000ffff0000ffff0000ffff0000ffff0000fffefffb466fbdb701f72a4c453c03475c006817947db1af10a067d4f5b9d635",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "0986b3d349f89c5501ab98d4a3914ab01e604b28bd92e035833f3aad",
          "result" : "valid"
        },
        {
          "tcId" : 69,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "04fffff0000007fffffe000000ffffffc000001ffffff8000003ffffff20cfa23077acc9fbcb71339c65880cd0b966b8a9497e65abed17f0b5",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
          "shared" : "a0887269766e6efcbc81d2b38f2d4638663f12377468a23421044188",
          "result" : "valid"
        },
        {
          "tcId" : 70,
          "comment" : "ephemeral key has x-coordinate with repeating bit-pattern of size 51",
          "flags" : [
            "EdgeCaseEphemeralKey"
          ],
          "public" : "0400000ffffffc000001ffffff8000003ffffff0000007fffffe000000190c3868c585e0c9567287308afc4eb9efb998c1686cea07110911ea",
          "private" : "2bc15cf3981f4e15bbad387b506df647989e5478160be862f8c26969",
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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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          "comment" : "point with coordinate y = 1 in left to right addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "045547060722eb9e0411fee27df6103f6963777f2e27d440f5a3fe6ececc088b90af15617e223c81cf3529b54af454cb62697dc91893ac144a",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "9be42c69466c48fdabb72f17d8f284a39a06a99721c8993de3ef07d8",
          "result" : "valid"
        },
        {
          "tcId" : 414,
          "comment" : "point with coordinate y = 1 in left to right addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "0417501cd59f0722aa22cf9bee622e120addf8e7abb84c5a97599348755666517951eb12990138cb93403b039f00893ffa3767808845ba97f8",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "18d098d9114e542febd66a8f57fc6c21ac981c48bab0ae2d33888a8c",
          "result" : "valid"
        },
        {
          "tcId" : 415,
          "comment" : "point with coordinate y = 1 in left to right addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "049bfce7cf6ea6aa2eb0bba54379408bd3ed266a054a4bf9018b850ea3d59aa7e69e9b951f61988a7fbb84987b71bf212c9d96da25051817c9",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "6f57530e8e4ebc63d3f7596f3b17e8f75ccc1e3e8974e487f9826a9d",
          "result" : "valid"
        },
        {
          "tcId" : 416,
          "comment" : "point with coordinate y = 1 in left to right addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "04db8a5d1eb4d285e55f56a965ce660c02e85ed7c653028c5ef008be1208b2dd66fa204aa0a61f40d43f555bdd88eae72a5b03811bd9db6cae",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "c284fe3c249a3e5a508076313d8560cb27e6f8469895a09daf6b2178",
          "result" : "valid"
        },
        {
          "tcId" : 417,
          "comment" : "point with coordinate y = 1 in precomputation or right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "0458f53d67332415fe5b4b81999f8332fb6dcdb965d96dbcbab0fac375f29efef7ab4d94bb2d25d25205eae29fe8d9a85b811114a50f6c6859",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "d3af1857aca1689514fcfee8d8c40b8637d40452ae35c404f9e67494",
          "result" : "valid"
        },
        {
          "tcId" : 418,
          "comment" : "point with coordinate y = 1 in precomputation or right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "04f2d6e58fcd3ed3f656a9bc687fe4c789ba9614d0359967bc0468eabfa1658a14ef0633f2485e29141e2c4a13bd328ec9bf6af4c7a774131b",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "933c385d5fadb57de53e4a5d385118fce830430703c3f585a5d4d0b5",
          "result" : "valid"
        },
        {
          "tcId" : 419,
          "comment" : "point with coordinate y = 1 in precomputation or right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "0402ca5d1b7638b7b88ad02176bd10ff1cfe8812a62f9769a6d62e0c6c787b3e3b2a063940911bf987fc38deebf542400b8bbd9dfeb7d90a8a",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "75aea79d99e5c7edaab0284443b548843371d1d9b55f2d73a1a9092f",
          "result" : "valid"
        },
        {
          "tcId" : 420,
          "comment" : "point with coordinate y = 1 in precomputation or right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
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          "public" : "04a394d8bf9b479ec3c7ac3fc6a631d01d57d338b9fb5a0ed6e5130e050cfc600cfb08e67727ac5a33345ec1d48d4a9a18516c2203acbd2667",
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          "shared" : "8c1d0850691cda7523ffccf1cba44b4d472193e6a3bb0727e490a8b5",
          "result" : "valid"
        },
        {
          "tcId" : 421,
          "comment" : "point with coordinate y = 1 in precomputation or right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
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          "public" : "04642e26421e96fa88f956d098ac26f02f1d6faa80e460e701a3789a66c38dd95c6b33de8768c85cbe6879d0d77e29fe5a18b26a35cb60c0b6",
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          "shared" : "50b9ed4d99e2f24e0096eaeded0b552cf8deff5ca8f976964ae47e92",
          "result" : "valid"
        },
        {
          "tcId" : 422,
          "comment" : "point with coordinate y = 1 in precomputation or right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "04f974d1cbbf4171d4773c3e84eab80bc3c6c2858dadcfbd11d64316905df36fbe345f28a3ef663125649474c6fc1ebe175c3865c4469e192b",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "5616ee3e63dfb424d329c2b9b50cf378bb77a8bd7e314a241b5942c7",
          "result" : "valid"
        },
        {
          "tcId" : 423,
          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "0455561db3cc8fb08a71654ee9573a1a36a44f0913ca8ad7582cfafbfc62b31e5e78be98ad8c8ceab4bb82e8efc0acb29f1a8d031ed044046c",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "b1da14507b5c05159e15f77d085c017acd89f158011357a97802855d",
          "result" : "valid"
        },
        {
          "tcId" : 424,
          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "04a363bcb9bddd5de84a2f4433c039f7be3fce6057b0d3b4a3459e54a2ba32302871e7ba5c3dd7ec9b76946cdc702c15a8d9ec0f4a04e7afb6",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "2f1bd4a5a497481c4a21222320ff61f32674a95d540cc3f4f3ca5849",
          "result" : "valid"
        },
        {
          "tcId" : 425,
          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "043a656d0e25bce27282f256b121fbfcde0a180ccd7aa601a5929fc74002f89e45b4dcb873c56da5d1a28fbca33a126177b217a098e0952e62",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "8c807d65ba7b9fd3061dffef26c025a89524a26b942edd3a984fe51d",
          "result" : "valid"
        },
        {
          "tcId" : 426,
          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "04bf5f49ba0086eec289b068b783438ef24b6f28130bb1ed969ef8b041f11b0de95f15edcd835f01bab1f5faaa1749c2ca4f16a7d99d916ff4",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "8fda76f4d124e6727f855e5f4921cc05c48e2a8ed0fee7c75d6a8047",
          "result" : "valid"
        },
        {
          "tcId" : 427,
          "comment" : "point with coordinate y = 1 in right to left addition chain",
          "flags" : [
            "EdgeCaseDoubling"
          ],
          "public" : "04a57232560d9d604655181f775859b0723d4e01a4c867844eb9d81dabb5d19507bbe9cda3346bad7c184daa432e7f794a5b9b8b8d4e55be3a",
          "private" : "00c1781d86cac2c0af3fb50d54c554a67bd75d25ca796f0486e3fa84f9",
          "shared" : "daf35bb7bf3a056bb62bb01ba00f581c107f64de85842b3a49bc2a4a",
          "result" : "valid"
        },
        {
          "tcId" : 428,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "03",
          "shared" : "e71f2157bfe37697ea5193d4732dcc6e5412fa9d38387eacd391c1c6",
          "result" : "valid"
        },
        {
          "tcId" : 429,
          "comment" : "edge case private key",
          "flags" : [
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          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffffffffffffffffffffffff",
          "shared" : "fa2664717c7fa0161ec2c669b2c0986cdc20456a6e5406302bb53c77",
          "result" : "valid"
        },
        {
          "tcId" : 430,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "01000000000000000000000000000000000000000000000000000000",
          "shared" : "af6e5ad34497bae0745f53ad78ce8b285d79f400d5c6e6a071f8e6bd",
          "result" : "valid"
        },
        {
          "tcId" : 431,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "7fffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "shared" : "12fd302ff8c13c55a9c111f8bb6b0a13ecf88299c0ae3032ce2bcaff",
          "result" : "valid"
        },
        {
          "tcId" : 432,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "0080000000000000000000000000000000000000000000000000000000",
          "shared" : "73f1a395b842f1a6752ae417e2c3dc90cafc4476d1d861b7e68ad030",
          "result" : "valid"
        },
        {
          "tcId" : 433,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03d13dd29455c5c2a3d",
          "shared" : "b329c20ddb7c78ee4e622bb23a984c0d273ba34b6269f3d9e8f89f8e",
          "result" : "valid"
        },
        {
          "tcId" : 434,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13cd29455c5c2a3d",
          "shared" : "6f48345209b290ffc5abbe754a201479e5d667a209468080d06197b4",
          "result" : "valid"
        },
        {
          "tcId" : 435,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
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          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13d529455c5c2a3d",
          "shared" : "9f6e30c1c9dad42a153aacd4b49a8e5c721d085cd07b5d5aec244fc1",
          "result" : "valid"
        },
        {
          "tcId" : 436,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29445c5c2a3d",
          "shared" : "8cadfb19a80949e61bd5b829ad0e76d18a5bb2eeb9ed7fe2b901cecd",
          "result" : "valid"
        },
        {
          "tcId" : 437,
          "comment" : "edge case private key",
          "flags" : [
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          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c29b7",
          "shared" : "475fd96e0eb8cb8f100a5d7fe043a7a6851d1d611da2643a3c6ae708",
          "result" : "valid"
        },
        {
          "tcId" : 438,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a37",
          "shared" : "41ef931d669d1f57d8bb95a01a92321da74be8c6cbc3bbe0b2e73ebd",
          "result" : "valid"
        },
        {
          "tcId" : 439,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3a",
          "shared" : "e71f2157bfe37697ea5193d4732dcc6e5412fa9d38387eacd391c1c6",
          "result" : "valid"
        },
        {
          "tcId" : 440,
          "comment" : "edge case private key",
          "flags" : [
            "AdditionChain"
          ],
          "public" : "04478e73465bb1183583f4064e67e8b4343af4a05d29dfc04eb60ac2302e5b9a3a1b32e4208d4c284ff26822e09c3a9a4683443e4a35175504",
          "private" : "00ffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3b",
          "shared" : "11ff15126411299cbd49e2b7542e69e91ef132e2551a16ecfebb23a3",
          "result" : "valid"
        },
        {
          "tcId" : 441,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 442,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 443,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffff000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 444,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffff000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 445,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 446,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "040000000000000000000000000000000000000000000000000000000100000000000000000000000000000000000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 447,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000001ffffffffffffffffffffffffffffffff000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 448,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000001ffffffffffffffffffffffffffffffff000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 449,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff00000000000000000000000000000000000000000000000000000000000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 450,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff00000000000000000000000000000000000000000000000000000000000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 451,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff000000000000000000000000ffffffffffffffffffffffffffffffff000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 452,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff000000000000000000000000ffffffffffffffffffffffffffffffff000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 453,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff00000000000000000000000100000000000000000000000000000000000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 454,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff00000000000000000000000100000000000000000000000000000000000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 455,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff000000000000000000000001ffffffffffffffffffffffffffffffff000000000000000000000000",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 456,
          "comment" : "point is not on curve",
          "flags" : [
            "InvalidCurveAttack"
          ],
          "public" : "04ffffffffffffffffffffffffffffffff000000000000000000000001ffffffffffffffffffffffffffffffff000000000000000000000001",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 457,
          "comment" : "",
          "flags" : [
            "InvalidEncoding"
          ],
          "public" : "",
          "private" : "00c6cafb74e2a5b5ed4b991cbbfbc28c18f6df208b6d05e7a2e6668014",
          "shared" : "",
          "result" : "invalid"
        },
        {
          "tcId" : 458,
          "comment" : "invalid public key",
          "flags" : [
            "InvalidCompressedPublic",
            "CompressedPoint"
          ],
          "public" : "020ca753db5ddeca474241f8d2dafc0844343fd0e37eded2f0192d51b2",
          "private" : "00fc28a0ca0f8e36b0d4f71421845135a22aef543b9fddf8c775b2d18f",
          "shared" : "",
          "result" : "invalid"
        }
      ]
    }
  ]
}