noble-curves/test/wycheproof/x25519_test.json

{
  "algorithm" : "XDH",
  "schema" : "xdh_comp_schema.json",
  "generatorVersion" : "0.9rc5",
  "numberOfTests" : 518,
  "header" : [
    "Test vectors of type XdhComp are intended for tests that verify the",
    "computation of an Xdh key exchange."
  ],
  "notes" : {
    "EdgeCaseMultiplication" : {
      "bugType" : "CONFIDENTIALITY",
      "description" : "The public key in this test vector has been constructed, so that an edge case during the multiplication with a small k occurs. I.e., these are cases where during the multiplication one of the internal variables has a values such as -1, 0 or 1. This checks for errors in the integer arithmetic.",
      "effect" : "The effect of arithmetic errors in the multiplication is that information about the private key is leaked. In the worst case such an error could be exploited to find the private key."
    },
    "EdgeCasePrivateKey" : {
      "bugType" : "EDGE_CASE",
      "description" : "The private key in this test vector contains a special case value. The goal of the test vector is to check for edge case behaviour."
    },
    "EdgeCaseShared" : {
      "bugType" : "EDGE_CASE",
      "description" : "The values in this test case have been constructed such that the shared secret is an edge case. The goal is to detect errors in the integer arithmetic."
    },
    "Ktv" : {
      "bugType" : "BASIC",
      "description" : "Known test vector from RFC. We assume that these test cases have been checked before. Hence, if such a test vector fails then we may reasonably assume that there is an error in the setup."
    },
    "LowOrderPublic" : {
      "bugType" : "DEFINED",
      "description" : "The curves and its twists contain some points of low order. This test vector contains a public key with such a point. While many libraries reject such public keys, doing so is not a strict requirement according to RFC 7748."
    },
    "NonCanonicalPublic" : {
      "bugType" : "DEFINED",
      "description" : "The public key is in non-canonical form. RFC 7748, section 5 defines the value that this public key represents. Section 7 of the same RFC recommends accepting such keys. If a non-canonical key is accepted then it must follow the RFC."
    },
    "Normal" : {
      "bugType" : "BASIC",
      "description" : "The test vector contains a pseudorandomly generated, valid test case. Implementations are expected to pass this test."
    },
    "SmallPublicKey" : {
      "bugType" : "DEFINED",
      "description" : "The public key is insecure and does not belong to a valid private key. Some libraries reject such keys."
    },
    "SpecialPublicKey" : {
      "bugType" : "EDGE_CASE",
      "description" : "The test vector contains a public key that has a special form. The goal of the test vector is to check for errors in the implementation of the integer arithmetic."
    },
    "Twist" : {
      "bugType" : "DEFINED",
      "description" : "Public keys are either points on a given curve or points on its twist. The functions X25519 and X448 are defined for points on a twist with the goal that the output of computations do not leak private keys. Implementations may accept or reject points on a twist. If a point multiplication is performed then it is important that the result is correct, since otherwise attacks with invalid keys are possible."
    },
    "ZeroSharedSecret" : {
      "bugType" : "DEFINED",
      "description" : "Some libraries include a check that the shared secret is not all-zero. This check is described in Section 6.1 of RFC 7748."
    }
  },
  "testGroups" : [
    {
      "type" : "XdhComp",
      "curve" : "curve25519",
      "tests" : [
        {
          "tcId" : 1,
          "comment" : "normal case",
          "flags" : [
            "Normal"
          ],
          "public" : "504a36999f489cd2fdbc08baff3d88fa00569ba986cba22548ffde80f9806829",
          "private" : "c8a9d5a91091ad851c668b0736c1c9a02936c0d3ad62670858088047ba057475",
          "shared" : "436a2c040cf45fea9b29a0cb81b1f41458f863d0d61b453d0a982720d6d61320",
          "result" : "valid"
        },
        {
          "tcId" : 2,
          "comment" : "public key on twist",
          "flags" : [
            "Twist"
          ],
          "public" : "63aa40c6e38346c5caf23a6df0a5e6c80889a08647e551b3563449befcfc9733",
          "private" : "d85d8c061a50804ac488ad774ac716c3f5ba714b2712e048491379a500211958",
          "shared" : "279df67a7c4611db4708a0e8282b195e5ac0ed6f4b2f292c6fbd0acac30d1332",
          "result" : "acceptable"
        },
        {
          "tcId" : 3,
          "comment" : "public key on twist",
          "flags" : [
            "Twist"
          ],
          "public" : "0f83c36fded9d32fadf4efa3ae93a90bb5cfa66893bc412c43fa7287dbb99779",
          "private" : "c8b45bfd32e55325d9fd648cb302848039000b390e44d521e58aab3b29a6964b",
          "shared" : "4bc7e01e7d83d6cf67632bf90033487a5fc29eba5328890ea7b1026d23b9a45f",
          "result" : "acceptable"
        },
        {
          "tcId" : 4,
          "comment" : "public key on twist",
          "flags" : [
            "Twist"
          ],
          "public" : "0b8211a2b6049097f6871c6c052d3c5fc1ba17da9e32ae458403b05bb283092a",
          "private" : "f876e34bcbe1f47fbc0fddfd7c1e1aa53d57bfe0f66d243067b424bb6210be51",
          "shared" : "119d37ed4b109cbd6418b1f28dea83c836c844715cdf98a3a8c362191debd514",
          "result" : "acceptable"
        },
        {
          "tcId" : 5,
          "comment" : "public key on twist",
          "flags" : [
            "Twist"
          ],
          "public" : "343ac20a3b9c6a27b1008176509ad30735856ec1c8d8fcae13912d08d152f46c",
          "private" : "006ac1f3a653a4cdb1d37bba94738f8b957a57beb24d646e994dc29a276aad45",
          "shared" : "cc4873aed3fcee4b3aaea7f0d20716b4276359081f634b7bea4b705bfc8a4d3e",
          "result" : "acceptable"
        },
        {
          "tcId" : 6,
          "comment" : "public key on twist",
          "flags" : [
            "Twist"
          ],
          "public" : "fa695fc7be8d1be5bf704898f388c452bafdd3b8eae805f8681a8d15c2d4e142",
          "private" : "08da77b26d06dff9d9f7fd4c5b3769f8cdd5b30516a5ab806be324ff3eb69e60",
          "shared" : "b6f8e2fcb1affc79e2ff798319b2701139b95ad6dd07f05cbac78bd83edfd92e",
          "result" : "acceptable"
        },
        {
          "tcId" : 7,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0200000000000000000000000000000000000000000000000000000000000000",
          "private" : "d03edde9f3e7b799045f9ac3793d4a9277dadeadc41bec0290f81f744f73775f",
          "shared" : "b87a1722cc6c1e2feecb54e97abd5a22acc27616f78f6e315fd2b73d9f221e57",
          "result" : "acceptable"
        },
        {
          "tcId" : 8,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0300000000000000000000000000000000000000000000000000000000000000",
          "private" : "e09d57a914e3c29036fd9a442ba526b5cdcdf28216153e636c10677acab6bd6a",
          "shared" : "a29d8dad28d590cd3017aa97a4761f851bf1d3672b042a4256a45881e2ad9035",
          "result" : "acceptable"
        },
        {
          "tcId" : 9,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ff00000000000000000000000000000000000000000000000000000000000000",
          "private" : "e0ed78e6ee02f08bec1c15d66fbbe5b83ffc37ea14e1512cc1bd4b2ea6d8066f",
          "shared" : "e703bc8aa94b7d87ba34e2678353d12cdaaa1a97b5ca3e1b8c060c4636087f07",
          "result" : "acceptable"
        },
        {
          "tcId" : 10,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffff000000000000000000000000000000000000000000000000000000000000",
          "private" : "a8a1a2ec9fa9915ae7aace6a37c68591d39e15995c4ef5ebd3561c02f72dda41",
          "shared" : "ff5cf041e924dbe1a64ac9bdba96bdcdfaf7d59d91c7e33e76ed0e4c8c836446",
          "result" : "acceptable"
        },
        {
          "tcId" : 11,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0000010000000000000000000000000000000000000000000000000000000000",
          "private" : "a8c9df5820eb399d471dfa3215d96055b3c7d0f4ea49f8ab028d6a6e3194517b",
          "shared" : "a92a96fa029960f9530e6fe37e2429cd113be4d8f3f4431f8546e6c76351475d",
          "result" : "acceptable"
        },
        {
          "tcId" : 12,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffff0f00000000000000000000000000000000000000000000000000000000",
          "private" : "d0d31c491cbd39271859b4a63a316826507b1db8c701709fd0ffe3eb21c4467c",
          "shared" : "9f8954868158ec62b6b586b8cae1d67d1b9f4c03d5b3ca0393cee71accc9ab65",
          "result" : "acceptable"
        },
        {
          "tcId" : 13,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffffff00000000000000000000000000000000000000000000000000000000",
          "private" : "d053e7bf1902619cd61c9c739e09d54c4147f46d190720966f7de1d9cffbbd4e",
          "shared" : "6cbf1dc9af97bc148513a18be4a257de1a3b065584df94e8b43c1ab89720b110",
          "result" : "acceptable"
        },
        {
          "tcId" : 14,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0000000000001000000000000000000000000000000000000000000000000000",
          "private" : "a021d75009a4596e5a33f12921c10f3670933bc80dde3bba22881b6120582144",
          "shared" : "38284b7086095a9406028c1f800c071ea106039ad7a1d7f82fe00906fd90594b",
          "result" : "acceptable"
        },
        {
          "tcId" : 15,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0000000000000001000000000000000000000000000000000000000000000000",
          "private" : "a89c6687f99bd569a01fd8bd438236160d15ce2c57c1d71ebaa3f2da88233863",
          "shared" : "c721041df0244071794a8db06b9f7eaeec690c257265343666f4416f4166840f",
          "result" : "acceptable"
        },
        {
          "tcId" : 16,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffff000000000000000000000000000000000000000000000000",
          "private" : "68964bca51465bf0f5ba524b1482ceff0e960a1ed9f48dcc30f1608d0e501a50",
          "shared" : "25ff9a6631b143dbdbdc207b38e38f832ae079a52a618c534322e77345fd9049",
          "result" : "acceptable"
        },
        {
          "tcId" : 17,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000000000000000000000000000000000000100000000000000",
          "private" : "a8e56bb13a9f2b33b8e6750b4a6e6621dc26ae8c5c624a0992c8f0d5b910f170",
          "shared" : "f294e7922c6cea587aefe72911630d50f2456a2ba7f21207d57f1ecce04f6213",
          "result" : "acceptable"
        },
        {
          "tcId" : 18,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff00000000",
          "private" : "e045f55c159451e97814d747050fd7769bd478434a01876a56e553f66384a74c",
          "shared" : "ff4715bd8cf847b77c244ce2d9b008b19efaa8e845feb85ce4889b5b2c6a4b4d",
          "result" : "acceptable"
        },
        {
          "tcId" : 19,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffff030000f8ffff1f0000c0ffffff000000feffff070000f0ffff3f000000",
          "private" : "105d621e1ef339c3d99245cfb77cd3a5bd0c4427a0e4d8752c3b51f045889b4f",
          "shared" : "61eace52da5f5ecefafa4f199b077ff64f2e3d2a6ece6f8ec0497826b212ef5f",
          "result" : "acceptable"
        },
        {
          "tcId" : 20,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f0000",
          "private" : "d88a441e706f606ae7f630f8b21f3c2554739e3e549f804118c03771f608017b",
          "shared" : "ff1b509a0a1a54726086f1e1c0acf040ab463a2a542e5d54e92c6df8126cf636",
          "result" : "acceptable"
        },
        {
          "tcId" : 21,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000800000",
          "private" : "80bbad168222276200aafd36f7f25fdc025632d8bf9f6354bb762e06fb63e250",
          "shared" : "f134e6267bf93903085117b99932cc0c7ba26f25fca12102a26d7533d9c4272a",
          "result" : "acceptable"
        },
        {
          "tcId" : 22,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff1f",
          "private" : "68e134092e94e622c8a0cd18aff55be23dabd994ebdee982d90601f6f0f4b369",
          "shared" : "74bfc15e5597e9f5193f941e10a5c008fc89f051392723886a4a8fe5093a7354",
          "result" : "acceptable"
        },
        {
          "tcId" : 23,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000020",
          "private" : "e8e43fc1ebac0bbc9b99c8035ee1ac59b90f19a16c42c0b90f96adfcc5fdee78",
          "shared" : "0d41a5b3af770bf2fcd34ff7972243a0e2cf4d34f2046a144581ae1ec68df03b",
          "result" : "acceptable"
        },
        {
          "tcId" : 24,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "000000fcffff070000e0ffff3f000000ffffff010000f8ffff0f0000c0ffff7f",
          "private" : "18bffb16f92680a9e267473e43c464476d5372ddd1f664f3d0678efe7c98bc79",
          "shared" : "5894e0963583ae14a0b80420894167f4b759c8d2eb9b69cb675543f66510f646",
          "result" : "acceptable"
        },
        {
          "tcId" : 25,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffff00000000000000ffffffffffffff00000000000000ffffff7f",
          "private" : "300305eb002bf86c71fe9c0b311993727b9dc618d0ce7251d0dfd8552d17905d",
          "shared" : "f8624d6e35e6c548ac47832f2e5d151a8e53b9290363b28d2ab8d84ab7cb6a72",
          "result" : "acceptable"
        },
        {
          "tcId" : 26,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffff7f",
          "private" : "80da9f02842247d4ade5ddbac51dbce55ea7dca2844e7f97ab8987ce7fd8bc71",
          "shared" : "bfe183ba3d4157a7b53ef178613db619e27800f85359c0b39a9fd6e32152c208",
          "result" : "acceptable"
        },
        {
          "tcId" : 27,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "edfffffffffffffffffffffffffffeffffffffffffffffffffffffffffffff7f",
          "private" : "806e7f26ca3246de8182946cbed09f52b95da626c823c7b50450001a47b7b252",
          "shared" : "bca4a0724f5c1feb184078448c898c8620e7caf81f64cca746f557dff2498859",
          "result" : "acceptable"
        },
        {
          "tcId" : 28,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "edfffffffffffffeffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "58354fd64bc022cba3a71b2ae64281e4ea7bf6d65fdbaead1440eeb18604fe62",
          "shared" : "b3418a52464c15ab0cacbbd43887a1199206d59229ced49202300638d7a40f04",
          "result" : "acceptable"
        },
        {
          "tcId" : 29,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "edffffffffffefffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "f0019cf05159794cc8052b00c2e75b7f46fb6693c4b38c02b12a4fe272e8556a",
          "shared" : "fcde6e0a3d5fd5b63f10c2d3aad4efa05196f26bc0cb26fd6d9d3bd015eaa74f",
          "result" : "acceptable"
        },
        {
          "tcId" : 30,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "edfeffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "d0fca64cc5f3a0c8e75c824e8b09d1615aa79aeba139bb7302e2bb2fcbe54b40",
          "shared" : "7d62f189444c6231a48afab10a0af2eee4a52e431ea05ff781d616af2114672f",
          "result" : "acceptable"
        },
        {
          "tcId" : 31,
          "comment" : "public key on twist",
          "flags" : [
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "eaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "d02456e456911d3c6cd054933199807732dfdc958642ad1aebe900c793bef24a",
          "shared" : "07ba5fcbda21a9a17845c401492b10e6de0a168d5c94b606694c11bac39bea41",
          "result" : "acceptable"
        },
        {
          "tcId" : 32,
          "comment" : "public key = 0",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000000",
          "private" : "88227494038f2bb811d47805bcdf04a2ac585ada7f2f23389bfd4658f9ddd45e",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 33,
          "comment" : "public key = 1",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "0100000000000000000000000000000000000000000000000000000000000000",
          "private" : "48232e8972b61c7e61930eb9450b5070eae1c670475685541f0476217e48184f",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 34,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000000000",
          "private" : "a8386f7f16c50731d64f82e6a170b142a4e34f31fd7768fcb8902925e7d1e25a",
          "shared" : "34b7e4fa53264420d9f943d15513902342b386b172a0b0b7c8b8f2dd3d669f59",
          "result" : "valid"
        },
        {
          "tcId" : 35,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0001000000000000000000000000000000000000000000000000000000000000",
          "private" : "d05abd08bf5e62538cb9a5ed105dbedd6de38d07940085072b4311c2678ed77d",
          "shared" : "3aa227a30781ed746bd4b3365e5f61461b844d09410c70570abd0d75574dfc77",
          "result" : "valid"
        },
        {
          "tcId" : 36,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0000001000000000000000000000000000000000000000000000000000000000",
          "private" : "f0b8b0998c8394364d7dcb25a3885e571374f91615275440db0645ee7c0a6f6b",
          "shared" : "97755e7e775789184e176847ffbc2f8ef98799d46a709c6a1c0ffd29081d7039",
          "result" : "valid"
        },
        {
          "tcId" : 37,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0000000001000000000000000000000000000000000000000000000000000000",
          "private" : "d00c35dc17460f360bfae7b94647bc4e9a7ad9ce82abeadb50a2f1a0736e2175",
          "shared" : "c212bfceb91f8588d46cd94684c2c9ee0734087796dc0a9f3404ff534012123d",
          "result" : "valid"
        },
        {
          "tcId" : 38,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffff0f00000000000000000000000000000000000000000000000000",
          "private" : "385fc8058900a85021dd92425d2fb39a62d4e23aef1d5104c4c2d88712d39e4d",
          "shared" : "388faffb4a85d06702ba3e479c6b216a8f33efce0542979bf129d860f93b9f02",
          "result" : "valid"
        },
        {
          "tcId" : 39,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffff00000000000000000000000000000000000000000000000000",
          "private" : "e0614b0c408af24d9d24c0a72f9137fbd6b16f02ccc94797ea3971ab16073a7f",
          "shared" : "877fec0669d8c1a5c866641420eea9f6bd1dfd38d36a5d55a8c0ab2bf3105c68",
          "result" : "valid"
        },
        {
          "tcId" : 40,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000010000000000000000000000000000000000000000000000",
          "private" : "f004b8fd05d9fffd853cdc6d2266389b737e8dfc296ad00b5a69b2a9dcf72956",
          "shared" : "180373ea0f23ea73447e5a90398a97d490b541c69320719d7dd733fb80d5480f",
          "result" : "valid"
        },
        {
          "tcId" : 41,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffff000000000000000000000000000000000000",
          "private" : "e80bf0e609bf3b035b552f9db7e9ecbc44a04b7910b1493661a524f46c3c2277",
          "shared" : "208142350af938aba52a156dce19d3c27ab1628729683cf4ef2667c3dc60cf38",
          "result" : "valid"
        },
        {
          "tcId" : 42,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000000000000000010000000000000000000000000000000000",
          "private" : "48890e95d1b03e603bcb51fdf6f296f1f1d10f5df10e00b8a25c9809f9aa1a54",
          "shared" : "1c3263890f7a081cefe50cb92abd496582d90dcc2b9cb858bd286854aa6b0a7e",
          "result" : "valid"
        },
        {
          "tcId" : 43,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffff00000000000000000000000000000000",
          "private" : "a806f1e39b742615a7dde3b29415ed827c68f07d4a47a4d9595c40c7fccb9263",
          "shared" : "56128e78d7c66f48e863e7e6f2caa9c0988fd439deac11d4aac9664083087f7a",
          "result" : "valid"
        },
        {
          "tcId" : 44,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000000000000000000001000000000000000000000000000000",
          "private" : "9899d5e265e1fc7c32345227d6699a6d6b5517cf33b43ab156ee20df4878794e",
          "shared" : "30eca56f1f1c2e8ff780134e0e9382c5927d305d86b53477e9aeca79fc9ced05",
          "result" : "valid"
        },
        {
          "tcId" : 45,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000",
          "private" : "d842316e5476aeaee838204258a06f15de011ba40b9962705e7f6e889fe71f40",
          "shared" : "cb21b7aa3f992ecfc92954849154b3af6b96a01f17bf21c612da748db38eb364",
          "result" : "valid"
        },
        {
          "tcId" : 46,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffff00000000ffffffff00000000ffffffff00000000ffffffff00000000",
          "private" : "a0933ee30512b25ee4e900aaa07f73e507a8ec53b53a44626e0f589af4e0356c",
          "shared" : "c5caf8cabc36f086deaf1ab226434098c222abdf8acd3ce75c75e9debb271524",
          "result" : "valid"
        },
        {
          "tcId" : 47,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000001000000",
          "private" : "38d6403e1377734cdce98285e820f256ad6b769d6b5612bcf42cf2b97945c073",
          "shared" : "4d46052c7eabba215df8d91327e0c4610421d2d9129b1486d914c766cf104c27",
          "result" : "valid"
        },
        {
          "tcId" : 48,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff03",
          "private" : "182191b7052e9cd630ef08007fc6b43bc7652913be6774e2fd271b71b962a641",
          "shared" : "a0e0315175788362d4ebe05e6ac76d52d40187bd687492af05abc7ba7c70197d",
          "result" : "valid"
        },
        {
          "tcId" : 49,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffff0f000000ffffff0f000000ffffff0f000000ffffff0f000000ffffff0f",
          "private" : "106221fe5694a710d6e147696c5d5b93d6887d584f24f228182ebe1b1d2db85d",
          "shared" : "5e64924b91873b499a5402fa64337c65d4b2ed54beeb3fa5d7347809e43aef1c",
          "result" : "valid"
        },
        {
          "tcId" : 50,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "000000fcffff030000e0ffff1f000000ffffff000000f8ffff070000c0ffff3f",
          "private" : "d035de9456080d85a912083b2e3c7ddd7971f786f25a96c5e782cf6f4376e362",
          "shared" : "c052466f9712d9ec4ef40f276bb7e6441c5434a83efd8e41d20ce83f2dbf5952",
          "result" : "valid"
        },
        {
          "tcId" : 51,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "private" : "a8f37318a4c760f3cb2d894822918735683cb1edacf3e666e15694154978fd6d",
          "shared" : "d151b97cba9c25d48e6d576338b97d53dd8b25e84f65f7a2091a17016317c553",
          "result" : "valid"
        },
        {
          "tcId" : 52,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5f",
          "private" : "20d4d624cf732f826f09e8088017742f13f2da98f4dcf4b40519adb790cebf64",
          "shared" : "5716296baf2b1a6b9cd15b23ba86829743d60b0396569be1d5b40014c06b477d",
          "result" : "valid"
        },
        {
          "tcId" : 53,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edffffffffffffffffffffffffffffffffffffffffffffffffffffffff7fff7f",
          "private" : "d806a735d138efb3b404683c9d84485ab4af540d0af253b574323d8913003c66",
          "shared" : "ddbd56d0454b794c1d1d4923f023a51f6f34ef3f4868e3d6659307c683c74126",
          "result" : "valid"
        },
        {
          "tcId" : 54,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "fffffffffeffff7ffffffffffeffff7ffffffffffeffff7ffffffffffeffff7f",
          "private" : "184198c6228177f3ef41dc9a341258f8181ae365fe9ec98d93639b0bbee1467d",
          "shared" : "8039eebed1a4f3b811ea92102a6267d4da412370f3f0d6b70f1faaa2e8d5236d",
          "result" : "valid"
        },
        {
          "tcId" : 55,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edfffffffffffffffffffffffffffffffffffffffffffffffffffffffeffff7f",
          "private" : "f0a46a7f4b989fe515edc441109346ba746ec1516896ec5b7e4f4d903064b463",
          "shared" : "b69524e3955da23df6ad1a7cd38540047f50860f1c8fded9b1fdfcc9e812a035",
          "result" : "valid"
        },
        {
          "tcId" : 56,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edfffffffffffffffffffffffffffffffffffffffffffffffeffffffffffff7f",
          "private" : "881874fda3a99c0f0216e1172fbd07ab1c7df78602cc6b11264e57aab5f23a49",
          "shared" : "e417bb8854f3b4f70ecea557454c5c4e5f3804ae537960a8097b9f338410d757",
          "result" : "valid"
        },
        {
          "tcId" : 57,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edfffffffffffffffffffffffffffffffeffffffffffffffffffffffffffff7f",
          "private" : "b8d0f1ae05a5072831443150e202ac6db00322cdf341f467e9f296588b04db72",
          "shared" : "afca72bb8ef727b60c530c937a2f7d06bb39c39b903a7f4435b3f5d8fc1ca810",
          "result" : "valid"
        },
        {
          "tcId" : 58,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edfffffffffffffffeffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "c8619ba988859db7d6f20fbf3ffb8b113418cc278065b4e8bb6d4e5b3e7cb569",
          "shared" : "7e41c2886fed4af04c1641a59af93802f25af0f9cba7a29ae72e2a92f35a1e5a",
          "result" : "valid"
        },
        {
          "tcId" : 59,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edfffffffeffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "f8d4ca1f37a30ec9acd6dbe5a6e150e5bc447d22b355d80ba002c5b05c26935d",
          "shared" : "dd3abd4746bf4f2a0d93c02a7d19f76d921c090d07e6ea5abae7f28848355947",
          "result" : "valid"
        },
        {
          "tcId" : 60,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edffffefffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "88037ac8e33c72c2c51037c7c8c5288bba9265c82fd8c31796dd7ea5df9aaa4a",
          "shared" : "8c27b3bff8d3c1f6daf2d3b7b3479cf9ad2056e2002be247992a3b29de13a625",
          "result" : "valid"
        },
        {
          "tcId" : 61,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "edfffeffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "5034ee7bf83a13d9167df86b0640294f3620f4f4d9030e5e293f9190824ae562",
          "shared" : "8e1d2207b47432f881677448b9d426a30de1a1f3fd38cad6f4b23dbdfe8a2901",
          "result" : "valid"
        },
        {
          "tcId" : 62,
          "comment" : "edge case public key",
          "flags" : [
            "SpecialPublicKey"
          ],
          "public" : "ebffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "40bd4e1caf39d9def7663823502dad3e7d30eb6eb01e9b89516d4f2f45b7cd7f",
          "shared" : "2cf6974b0c070e3707bf92e721d3ea9de3db6f61ed810e0a23d72d433365f631",
          "result" : "valid"
        },
        {
          "tcId" : 63,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800",
          "private" : "e0f978dfcd3a8f1a5093418de54136a584c20b7b349afdf6c0520886f95b1272",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 64,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157",
          "private" : "387355d995616090503aafad49da01fb3dc3eda962704eaee6b86f9e20c92579",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 65,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "Twist",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "c8fe0df92ae68a03023fc0c9adb9557d31be7feed0d3ab36c558143daf4dbb40",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 66,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b880",
          "private" : "c8d74acde5934e64b9895d5ff7afbffd7f704f7dfccff7ac28fa62a1e6410347",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 67,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f11d7",
          "private" : "b85649d5120e01e8ccaf7b2fb8d81b62e8ad6f3d5c0553fdde1906cb9d79c050",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 68,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "NonCanonicalPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "2064b2f4c9dc97ec7cf58932fdfa3265ba6ea4d11f0259b8efc8afb35db88c48",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 69,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000000",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 70,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "0100000000000000000000000000000000000000000000000000000000000000",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 71,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 72,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 73,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 74,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 75,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 76,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000080",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 77,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "0100000000000000000000000000000000000000000000000000000000000080",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 78,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 79,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f11d7",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 80,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b880",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 81,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 82,
          "comment" : "public key with low order",
          "flags" : [
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "786a33a4f7af297a20e7642925932bf509e7070fa1bc36986af1eb13f4f50b55",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 83,
          "comment" : "public key == 0",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "40ff586e73d61f0960dc2d763ac19e98225f1194f6fe43d5dd97ad55b3d35961",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 84,
          "comment" : "public key == 0",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "NonCanonicalPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000080",
          "private" : "7887889bac4c629a101d3724f2ed8b98d936fde79e1a1f77d86779626bf8f263",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 85,
          "comment" : "public key == 1",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "NonCanonicalPublic",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "584fceaebae944bfe93b2e0d0a575f706ce5ada1da2b1311c3b421f9186c7a6f",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 86,
          "comment" : "public key == 1",
          "flags" : [
            "SmallPublicKey",
            "LowOrderPublic",
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey",
            "ZeroSharedSecret"
          ],
          "public" : "0100000000000000000000000000000000000000000000000000000000000080",
          "private" : "e07971ee820e48b0b266d8be3cdbbb5e900a43f59ee8535c6572418615de4962",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 87,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "0016b62af5cabde8c40938ebf2108e05d27fa0533ed85d70015ad4ad39762d54",
          "shared" : "b4d10e832714972f96bd3382e4d082a21a8333a16315b3ffb536061d2482360d",
          "result" : "acceptable"
        },
        {
          "tcId" : 88,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "d83650ba7cec115881916255e3fa5fa0d6b8dcf968731bd2c9d2aec3f561f649",
          "shared" : "515eac8f1ed0b00c70762322c3ef86716cd2c51fe77cec3d31b6388bc6eea336",
          "result" : "acceptable"
        },
        {
          "tcId" : 89,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "88dd14e2711ebd0b0026c651264ca965e7e3da5082789fbab7e24425e7b4377e",
          "shared" : "6919992d6a591e77b3f2bacbd74caf3aea4be4802b18b2bc07eb09ade3ad6662",
          "result" : "acceptable"
        },
        {
          "tcId" : 90,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "98c2b08cbac14e15953154e3b558d42bb1268a365b0ef2f22725129d8ac5cb7f",
          "shared" : "9c034fcd8d3bf69964958c0105161fcb5d1ea5b8f8abb371491e42a7684c2322",
          "result" : "acceptable"
        },
        {
          "tcId" : 91,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0200000000000000000000000000000000000000000000000000000000000080",
          "private" : "c0697b6f05e0f3433b44ea352f20508eb0623098a7770853af5ca09727340c4e",
          "shared" : "ed18b06da512cab63f22d2d51d77d99facd3c4502e4abf4e97b094c20a9ddf10",
          "result" : "acceptable"
        },
        {
          "tcId" : 92,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "0300000000000000000000000000000000000000000000000000000000000080",
          "private" : "18422b58a18e0f4519b7a887b8cfb649e0bfe4b34d75963350a9944e5b7f5b7e",
          "shared" : "448ce410fffc7e6149c5abec0ad5f3607dfde8a34e2ac3243c3009176168b432",
          "result" : "acceptable"
        },
        {
          "tcId" : 93,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "0400000000000000000000000000000000000000000000000000000000000080",
          "private" : "20620d82487707bedf9ee3549e95cb9390d2618f50cf6acba47ffaa103224a6f",
          "shared" : "03a633df01480d0d5048d92f51b20dc1d11f73e9515c699429b90a4f6903122a",
          "result" : "acceptable"
        },
        {
          "tcId" : 94,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "daffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "285a6a7ceeb7122f2c78d99c53b2a902b490892f7dff326f89d12673c3101b53",
          "shared" : "9b01287717d72f4cfb583ec85f8f936849b17d978dbae7b837db56a62f100a68",
          "result" : "acceptable"
        },
        {
          "tcId" : 95,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "c8e0330ae9dceeff887fba761225879a4bd2e0db08799244136e4721b2c88970",
          "shared" : "dfe60831c9f4f96c816e51048804dbdc27795d760eced75ef575cbe3b464054b",
          "result" : "acceptable"
        },
        {
          "tcId" : 96,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "Twist",
            "SpecialPublicKey"
          ],
          "public" : "dcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "10db6210fc1fb13382472fa1787b004b5d11868ab3a79510e0cee30f4a6df26b",
          "shared" : "50bfa826ca77036dd2bbfd092c3f78e2e4a1f980d7c8e78f2f14dca3cce5cc3c",
          "result" : "acceptable"
        },
        {
          "tcId" : 97,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "eaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "9041c6e044a277df8466275ca8b5ee0da7bc028648054ade5c592add3057474e",
          "shared" : "13da5695a4c206115409b5277a934782fe985fa050bc902cba5616f9156fe277",
          "result" : "acceptable"
        },
        {
          "tcId" : 98,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "ebffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "b8d499041a6713c0f6f876db7406587fdb44582f9542356ae89cfa958a34d266",
          "shared" : "63483b5d69236c63cddbed33d8e22baecc2b0ccf886598e863c844d2bf256704",
          "result" : "acceptable"
        },
        {
          "tcId" : 99,
          "comment" : "non-canonical public key",
          "flags" : [
            "NonCanonicalPublic",
            "SpecialPublicKey"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
          "private" : "c85f08e60c845f82099141a66dc4583d2b1040462c544d33d0453b20b1a6377e",
          "shared" : "e9db74bc88d0d9bf046ddd13f943bccbe6dbb47d49323f8dfeedc4a694991a3c",
          "result" : "acceptable"
        },
        {
          "tcId" : 100,
          "comment" : "RFC 7748",
          "flags" : [
            "Ktv"
          ],
          "public" : "e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c",
          "private" : "a046e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449a44",
          "shared" : "c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552",
          "result" : "valid"
        },
        {
          "tcId" : 101,
          "comment" : "RFC 7748",
          "flags" : [
            "Ktv"
          ],
          "public" : "e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a413",
          "private" : "4866e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba4d",
          "shared" : "95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957",
          "result" : "valid"
        },
        {
          "tcId" : 102,
          "comment" : "RFC 8037, Section A.6",
          "flags" : [
            "Ktv"
          ],
          "public" : "de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f",
          "private" : "77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a",
          "shared" : "4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742",
          "result" : "valid"
        },
        {
          "tcId" : 103,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "b7b6d39c765cb60c0c8542f4f3952ffb51d3002d4aeb9f8ff988b192043e6d0a",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "0200000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 104,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared"
          ],
          "public" : "3b18df1e50b899ebd588c3161cbd3bf98ebcc2c1f7df53b811bd0e91b4d5153d",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "0900000000000000000000000000000000000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 105,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared"
          ],
          "public" : "cab6f9e7d8ce00dfcea9bbd8f069ef7fb2ac504abf83b87db601b5ae0a7f7615",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "1000000000000000000000000000000000000000000000000000000000000000",
          "result" : "valid"
        },
        {
          "tcId" : 106,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "4977d0d897e1ba566590f60f2eb0db6f7b24c13d436918ccfd32708dfad7e247",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "result" : "acceptable"
        },
        {
          "tcId" : 107,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared"
          ],
          "public" : "98730bc03e29e8b057fb1d20ef8c0bffc822485d3db7f45f4e3cc2c3c6d1d14c",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "result" : "valid"
        },
        {
          "tcId" : 108,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "97b4fff682df7f096cd1756569e252db482d45406a3198a1aff282a5da474c49",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "f9ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "result" : "acceptable"
        },
        {
          "tcId" : 109,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared"
          ],
          "public" : "317781b0163bae74accc06c0d44ef9a911a22b0d37faf7726621591f9343ea2f",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "result" : "valid"
        },
        {
          "tcId" : 110,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared"
          ],
          "public" : "7e26f8f24cb590027f9d1bc49b0e1a242c7d8f43624d3e8fab28ee08e02cb45e",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff03",
          "result" : "valid"
        },
        {
          "tcId" : 111,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "e96d2780e5469a74620ab5aa2f62151d140c473320dbe1b028f1a48f8e76f95f",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "e5ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "acceptable"
        },
        {
          "tcId" : 112,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "8d612c5831aa64b057300e7e310f3aa332af34066fefcab2b089c9592878f832",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "e3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "acceptable"
        },
        {
          "tcId" : 113,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared"
          ],
          "public" : "8d44108d05d940d3dfe5647ea7a87be24d0d036c9f0a95a2386b839e7b7bf145",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "ddffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "valid"
        },
        {
          "tcId" : 114,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "21a35d5db1b6237c739b56345a930aeee373cdcfb4701266782a8ac594913b29",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "result" : "acceptable"
        },
        {
          "tcId" : 115,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "3e5efb63c352ce942762482bc9337a5d35ba55664743ac5e93d11f957336cb10",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000002",
          "result" : "acceptable"
        },
        {
          "tcId" : 116,
          "comment" : "edge case for shared secret",
          "flags" : [
            "EdgeCaseShared",
            "Twist"
          ],
          "public" : "8e41f05ea3c76572be104ad8788e970863c6e2ca3daae64d1c2f46decfffa571",
          "private" : "60a3a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a9767f",
          "shared" : "0000000000000000000000000000000000000000000000000000000000008000",
          "result" : "acceptable"
        },
        {
          "tcId" : 117,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "SmallPublicKey",
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000000",
          "private" : "c8d07c46bbfb827753b92c70e49583ce8bfa44641a7382258ea903d6a832c96b",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 118,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "SmallPublicKey",
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "0100000000000000000000000000000000000000000000000000000000000000",
          "private" : "90b7ef237a055f348dcb4c4364a59d7d31edc7ab78f2ca254e2c810975c3f543",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 119,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "0200000000000000000000000000000000000000000000000000000000000000",
          "private" : "e0a8be63315c4f0f0a3fee607f44d30a55be63f09561d9af93e0a1c9cf0ed751",
          "shared" : "0c50ac2bfb6815b47d0734c5981379882a24a2de6166853c735329d978baee4d",
          "result" : "acceptable"
        },
        {
          "tcId" : 120,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "1200000000000000000000000000000000000000000000000000000000000000",
          "private" : "0840a8af5bc4c48da8850e973d7e14220f45c192cea4020d377eecd25c7c3643",
          "shared" : "77557137a2a2a651c49627a9b239ac1f2bf78b8a3e72168ccecc10a51fc5ae66",
          "result" : "valid"
        },
        {
          "tcId" : 121,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "1400000000000000000000000000000000000000000000000000000000000000",
          "private" : "0092229c753a71284d0853909470ad847ab62f439ea51482fb41d30cc3b44743",
          "shared" : "c88e719ae5c2248b5f90da346a92ae214f44a5d129fd4e9c26cf6a0da1efe077",
          "result" : "acceptable"
        },
        {
          "tcId" : 122,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "0000000000000000000000000080000000000000000000000000000000000000",
          "private" : "b8da2bd2d7cf25a3e54e5f87ee15911effb9ff86baec4076d56c8e953670bf5b",
          "shared" : "4bf6789c7ea036f973cde0af02d6fdb9b64a0b957022111439570fad7d7a453f",
          "result" : "valid"
        },
        {
          "tcId" : 123,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "ffffffffffffffffffffffffffff000000000000000000000000000000000000",
          "private" : "684cd420af41abb3d10c61e773238cf729c2155f941ac27e15f4c37f49b29576",
          "shared" : "bcac235ae15cc7148372e11f9315e3bc76ceb904b3d2a8246bd9d9be2082bb62",
          "result" : "valid"
        },
        {
          "tcId" : 124,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "0100000000000000000000000000010000000000000000000000000000000000",
          "private" : "38cfacaa4460796b4de434bdd6739f0d043671f97fa829517511e6b47aa93474",
          "shared" : "5dd7d16fff25cc5fdf9e03c3157cb0a235cea17d618f36e6f13461567edeb943",
          "result" : "acceptable"
        },
        {
          "tcId" : 125,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000004000000000",
          "private" : "30832e8cb627ac195f77b1105258e4bb18b99a5ed944404bfacb3a039fbdb14b",
          "shared" : "2816fd031d51d6750f9225ede950625cca47441ca97e43092650396991afcb6d",
          "result" : "valid"
        },
        {
          "tcId" : 126,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000008000000000",
          "private" : "d818fd6971e546447f361d33d3dbb3eadcf02fb28f246f1d5107b9073a93cd4f",
          "shared" : "7ed8f2d5424e7ebb3edbdf4abe455447e5a48b658e64abd06c218f33bd151f64",
          "result" : "acceptable"
        },
        {
          "tcId" : 127,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff00000000",
          "private" : "1021cd8682bdc3f5da9100adff5b2230b3acd836b3a455db8352a2c27e69d17e",
          "shared" : "e8620ed5ca89c72c5ea5503e6dcd01131cd5e875c30e13d5dc619ce28ec7d559",
          "result" : "acceptable"
        },
        {
          "tcId" : 128,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "0100000000000000000000000000000000000000000000000000000001000000",
          "private" : "20e4c9247102292655d6765d7d84c6fce5309b8004045daea6d7d7dcad462871",
          "shared" : "ceadb264379dcadd6e3bb8ad24dd653d2a609dd703d41da6caf3ad00f001862c",
          "result" : "valid"
        },
        {
          "tcId" : 129,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "a8b9c7372118a53a9de9eaf0868e3b1a3d88e81cb2e407ff7125e9f5c5088715",
          "private" : "90b150d462de512056d5bd55173074969b496f262fb6916b733f6263a8078971",
          "shared" : "f86cc7bf1be49574fc97a074282e9bb5cd238e002bc8e9a7b8552b2d60eccb52",
          "result" : "acceptable"
        },
        {
          "tcId" : 130,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "aab9c7372118a53a9de9eaf0868e3b1a3d88e81cb2e407ff7125e9f5c5088715",
          "private" : "9887286b3261c8d857a16f6db21277f75d88d4e861b3ebe7596699047e816668",
          "shared" : "ccbb8fd9dee165a398b2dbd7c8396f81736c1b3da36b35fbec8f326f38f92767",
          "result" : "acceptable"
        },
        {
          "tcId" : 131,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "585007a5930d77623cf29756038ca197d3ebfd9e4c80a69585efe0274092c115",
          "private" : "20ca2c85cc8762e96b7047bf15c71c050ffe0ed1616040a953ae32a1297ad871",
          "shared" : "46add6f48ffff461777d4f89b6fdf1155aa051a96387d45f3e5e371a236b6e52",
          "result" : "valid"
        },
        {
          "tcId" : 132,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff1f",
          "private" : "d027656605b10bf18dea28bc52546f9f1f08cef06cafd200fc84f87dbb4ebe46",
          "shared" : "1adbe32207e21f71e1af53884d2a2276481e298e557f4dacb3720f2458e3082d",
          "result" : "valid"
        },
        {
          "tcId" : 133,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000020",
          "private" : "4867a83ee9d01b7510840867db1af6a6049bdbb056b74443f70c358e162c8867",
          "shared" : "e12cc58fbeb70a5e35c861c33710be6516a6a92e52376060211b2487db542b4f",
          "result" : "acceptable"
        },
        {
          "tcId" : 134,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "afa00e4a271beec478e42fad0618432fa7d7fb3d99004d2b0bdfc14f8024832b",
          "private" : "a015970a8add940fca5b1b5d23875397d547d8d494fcb314f2045a67a2d12c4b",
          "shared" : "421bed1b26da1e9adbeada1f32b91a0fb4ced0f1110e0a4a88e735a19ee4571e",
          "result" : "valid"
        },
        {
          "tcId" : 135,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "b1a00e4a271beec478e42fad0618432fa7d7fb3d99004d2b0bdfc14f8024832b",
          "private" : "4058cb6b9aaba02a338aaa392dbc10039e26e9e444117e758e24c5d8b232ea5e",
          "shared" : "d7b47463e2f4ca9a1a7deea098da8e74ac3b4a109083d997259b12992e7e7e06",
          "result" : "valid"
        },
        {
          "tcId" : 136,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff2f",
          "private" : "b876b05daff0530b139d9e11250563418077178246c5fa7005ba00e9b6647763",
          "shared" : "686eb910a937211b9147c8a051a1197906818fdc626668eb5f5d394afd86d41b",
          "result" : "acceptable"
        },
        {
          "tcId" : 137,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "22231c64ef73ad62318b8a87bc38e272e1bb8bf1a60d7c00476d0b059d7b3c35",
          "private" : "d87fd6aa5d8deef6dee9619a56846a0829620590f2da40835d8e251597e39078",
          "shared" : "09559733b35bcc6bb8ac574b5abe3a4d8841deff051c294a07487e3eec3c5558",
          "result" : "valid"
        },
        {
          "tcId" : 138,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "private" : "90036321b63751f7622aa93da34d85e59ce81009ac5b9a068921d83bc4715b57",
          "shared" : "f7d5cbcf39eb722b01ed20c85563ebb81d076511aead4ccc429027866b9fd270",
          "result" : "valid"
        },
        {
          "tcId" : 139,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "f7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "private" : "a06781fd4c4a0874e00e72ba131b9dd87a83b2904e294de176e8a9af1f695d67",
          "shared" : "e995ad6a1ec6c5ab32922cff9d204721704673143c4a11deaa203f3c81989b3f",
          "result" : "acceptable"
        },
        {
          "tcId" : 140,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f",
          "private" : "b822d72d8b68bdb4fbf67e56a61d672b2c7747e94479fe5ae4072d0accdd6571",
          "shared" : "32b6dabe01d13867f3b5b0892fefd80dca666f2edc5afb43cd0baf703c3e6926",
          "result" : "acceptable"
        },
        {
          "tcId" : 141,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "0000000000000000000000000000000000000000000000000000000000000040",
          "private" : "d08ce1237e248d02cdf619d20bea5848ade4f6ffd171b8dee8793fc67c459640",
          "shared" : "a93d83fc9ea0f6cb0cc8b631da600019b76cbb2ec57222f2e42dd540e3da850b",
          "result" : "valid"
        },
        {
          "tcId" : 142,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "cbdce39b108c529dce74757843c71d8d1e44740e59f283ffb892f4fa6284c34a",
          "private" : "180ae3c928514cfb9edd06e7dc1d5d066160e967445a5c58e4463b69ed205e6d",
          "shared" : "017cbfa2b38e9ef3297a339ecce1a917bdcf7e910036086a41d1e22d04241870",
          "result" : "valid"
        },
        {
          "tcId" : 143,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "3c5ff1b5d8e4113b871bd052f9e7bcd0582804c266ffb2d4f4203eb07fdb7c54",
          "private" : "e881d806a110560cd8fee899d59c0249f1233a4322c41aa369c7a2a99f5b5962",
          "shared" : "71133905b8a57ea8c38de0ecf213699a75b096c2df21f07f7e9eb03e9fa53f5c",
          "result" : "valid"
        },
        {
          "tcId" : 144,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "3e5ff1b5d8e4113b871bd052f9e7bcd0582804c266ffb2d4f4203eb07fdb7c54",
          "private" : "08e410e1d7e8b9411236af4a35d6b62a5d8931478e4c62197cfafb491467b162",
          "shared" : "3dc7b70e110766b2bf525252ebed98a100b2e532dc69544464da1bbab8625f6d",
          "result" : "valid"
        },
        {
          "tcId" : 145,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5f",
          "private" : "e02fdf7e0ee3d55b4440f01432dd253c949793bc04da44ddece83e54c8c39b40",
          "shared" : "e317e5cc438b5f79ead5533ac7c45519a117b31033cc2140b19edf8572011240",
          "result" : "valid"
        },
        {
          "tcId" : 146,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff5f",
          "private" : "f05d18f68ef7a5865c14db3a9c255fdf2dabea2aa36581e94f68b727b582867b",
          "shared" : "d86810516aeddc18061036f599a9eb84d1c6146b0f543652dd4526743ba42c04",
          "result" : "valid"
        },
        {
          "tcId" : 147,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "95aff85a6cf2889dc30d68a9fc735e682c140261b37f596a7a101fd8bf6d3e6a",
          "private" : "00c103578d5c079d7bcc22c1c31e787c1b15c57fcb493fdafefa20371cfc746b",
          "shared" : "dfa988a477003be125b95ccbf2223d97729577d25e1d6e89e3da0afabdd0ae71",
          "result" : "acceptable"
        },
        {
          "tcId" : 148,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "434638c8dee75ac56216150f7971c4e5c27717e34d1bf8008eda160a3af7786a",
          "private" : "7005bb927485c435642b424a3dde014bcf76345e5be64ae6e9b24db39e1cdb51",
          "shared" : "d450af45b8ed5fe140cc5263ffb7b52e66736899a8b872b6e28552129819b25b",
          "result" : "acceptable"
        },
        {
          "tcId" : 149,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "454638c8dee75ac56216150f7971c4e5c27717e34d1bf8008eda160a3af7786a",
          "private" : "0822039a5dc13c40fcccf346e2a7769b4fd272052d43260ad626468a50d44162",
          "shared" : "58002c89bf8bc32ae6fc205b796acd13ef7f8476f6492ae4b2be47f1095e8a4f",
          "result" : "valid"
        },
        {
          "tcId" : 150,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "ecfffffffffffffffffffffffffffeffffffffffffffffffffffffffffffff7f",
          "private" : "40a6349c03f0dc0a42358f6353ca67632af687b14c9dff626c54e211e8fc355a",
          "shared" : "7773aad6e72eb1735b65ad51f7dad258c11d7bfff53094424cb103cd6bfb4368",
          "result" : "valid"
        },
        {
          "tcId" : 151,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "eefffffffffffffffffffffffffffeffffffffffffffffffffffffffffffff7f",
          "private" : "50696d4d05209971d6ba0676ea274262ba639aac74fa75e5df4570768ad8ae74",
          "shared" : "c118ddf6462fbea80f14ef1f2972a1ab12cafa511d1323d4d22d0d426d651b5b",
          "result" : "valid"
        },
        {
          "tcId" : 152,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "edffffffffffffffffffffffff7fffffffffffffffffffffffffffffffffff7f",
          "private" : "68bb680c853f4e4daa47c586dc886cf4568d7b0383770f6df439a53be4a3236d",
          "shared" : "cc0775bfd970a2706b11c7222a4436a3d17160382c83b76f89b66192c81b4408",
          "result" : "valid"
        },
        {
          "tcId" : 153,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "ebffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "b0f6c28dbdc647068a76d71805ef770f087cf76b82afdc0d26c45b71ace49768",
          "shared" : "f0097fa0ba70d019126277ab15c56ecc170ca88180b2bf9d80fcda3d7d74552a",
          "result" : "valid"
        },
        {
          "tcId" : 154,
          "comment" : "special case public key",
          "flags" : [
            "EdgeCaseMultiplication",
            "LowOrderPublic",
            "Twist",
            "ZeroSharedSecret"
          ],
          "public" : "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
          "private" : "18630f93598637c35da623a74559cf944374a559114c7937811041fc8605564a",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 155,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "0000000000000000000008000000000000000000000000000000000000000000",
          "private" : "581ecbda5a4a228044fefd6e03df234558c3c79152c6e2c5e60b142c4f26a851",
          "shared" : "59e7b1e6f47065a48bd34913d910176b6792a1372aad22e73cd7df45fcf91a0e",
          "result" : "acceptable"
        },
        {
          "tcId" : 156,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "77af0d3897a715dfe25df5d538cf133bc9ab7ad52df6bd922a2fb75621d59901",
          "private" : "b0561a38000795b7cb537b55e975ea452c2118506295d5eb15fd9c83b67f7a50",
          "shared" : "179f6b020748acba349133eaa4518f1bd8bab7bfc4fb05fd4c24e7553da1e960",
          "result" : "valid"
        },
        {
          "tcId" : 157,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "4e39866127b6a12a54914e106aab86464af55631f3cb61766d5999aa8d2e070e",
          "private" : "b00f7df2d47128441c7270b9a87eee45b6056fc64236a57bdf81dbcccf5f5d42",
          "shared" : "43c5ee1451f213ef7624729e595a0fee7c9af7ee5d27eb03278ee9f94c202352",
          "result" : "valid"
        },
        {
          "tcId" : 158,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "adc6799ed8495ed5ab6eb1ef955479b9b50aa9ce0c349e8992a6665572d1f811",
          "private" : "c8f7a0c0bfb1e9c72576c534f86854fbe4af521d4fa807f67e2440e100ec8852",
          "shared" : "2f350bcf0b40784d1d756c9ca3e38ec9dd68ba80faf1f9847de50779c0d4902a",
          "result" : "valid"
        },
        {
          "tcId" : 159,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "770f4218ef234f5e185466e32442c302bbec21bbb6cd28c979e783fe5013333f",
          "private" : "58181f581aa37022ff71c56c6e68e6175d967c5c995a249885f66565074ded4d",
          "shared" : "d5d650dc621072eca952e4344efc7320b2b1459aba48f5e2480db881c50cc650",
          "result" : "acceptable"
        },
        {
          "tcId" : 160,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "5c6118c4c74cfb842d9a87449f9d8db8b992d46c5a9093ce2fcb7a49b535c451",
          "private" : "301c935cae4357070b0adaf9cd6192830b2c989c153729eed99f589eb45f884b",
          "shared" : "909cc57275d54f20c67b45f9af9484fd67581afb7d887bee1db5461f303ef257",
          "result" : "acceptable"
        },
        {
          "tcId" : 161,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "4039866127b6a12a54914e106aab86464af55631f3cb61766d5999aa8d2e076e",
          "private" : "d002292d4359a3d42bc8767f1380009332e7a0df2f3379011ab78f789f6baa54",
          "shared" : "4a7e2c5caf1d8180eb1c4f22692f29a14b4cdc9b193bd1d16e2f27438eef1448",
          "result" : "valid"
        },
        {
          "tcId" : 162,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "078fa523498fb51cba1112d83b20af448b8009d8eea14368564d01b8f9b6086f",
          "private" : "d0c2c49e644ab738270707ff9917065942687e2f12886d961161db46c05b565f",
          "shared" : "c0ee59d3685fc2c3c803608b5ee39a7f8da30b48e4293ae011f0ea1e5aeb7173",
          "result" : "acceptable"
        },
        {
          "tcId" : 163,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "9fc6799ed8495ed5ab6eb1ef955479b9b50aa9ce0c349e8992a6665572d1f871",
          "private" : "f087d38b274c1dad1bce6eaa36b48e2190b90b9bf8ca59669cc5e00464534342",
          "shared" : "b252bc8eabfaa68c56e54d61b99061a35d11e3a7b9bda417d90f69b1119bcf45",
          "result" : "valid"
        },
        {
          "tcId" : 164,
          "comment" : "special case for E in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "7650f2c76858ea201da2022ac730ecc43654852ad209426dd5d048a9de2a667e",
          "private" : "48dbcc5a695f1514bbbaa6ad00842b69d9ae5216b1963add07fb2947c97b8447",
          "shared" : "fbda33bc930c08df837208e19afdc1cfe3fd0f8f0e3976be34775e58a4a7771f",
          "result" : "valid"
        },
        {
          "tcId" : 165,
          "comment" : "D = 0 in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800",
          "private" : "5891c9272cf9a197735b701e5715268d36d7436b7e351a3e997a0862e4807d4d",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 166,
          "comment" : "D = 0 in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "LowOrderPublic",
            "ZeroSharedSecret"
          ],
          "public" : "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157",
          "private" : "c0f9c60aea73731d92ab5ed9f4cea122f9a6eb2577bda72f94948fea4d4cc65d",
          "shared" : "0000000000000000000000000000000000000000000000000000000000000000",
          "result" : "acceptable"
        },
        {
          "tcId" : 167,
          "comment" : "special case for DA - CB in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "b0224e7134cf92d40a31515f2f0e89c2a2777e8ac2fe741db0dc39399fdf2702",
          "private" : "0066dd7674fe51f9326c1e239b875f8ac0701aae69a804c25fe43595e8660b45",
          "shared" : "8dacfe7beaaa62b94bf6e50ee5214d99ad7cda5a431ea0c62f2b20a89d73c62e",
          "result" : "acceptable"
        },
        {
          "tcId" : 168,
          "comment" : "special case for DA - CB in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "601e3febb848ec3e57fce64588aad82afc9c2af99bbcdffcc4cd58d4b3d15c07",
          "private" : "80067f30f40d61318b420c859fce128c9017ab81b47b76028a57bc30d5856846",
          "shared" : "20f1d3fe90e08bc6f152bf5dacc3ed35899785333f1470e6a62c3b8cbe28d260",
          "result" : "valid"
        },
        {
          "tcId" : 169,
          "comment" : "special case for DA - CB in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "82a3807bbdec2fa9938fb4141e27dc57456606301f78ff7133cf24f3d13ee117",
          "private" : "584577669d21ce0ae3e30b02c9783ffe97709cbfe396889aa31e8ee43352dc52",
          "shared" : "2b28cc5140b816add5ad3a77a81b1c073d67bf51bf95bda2064a14eb12d5f766",
          "result" : "acceptable"
        },
        {
          "tcId" : 170,
          "comment" : "special case for DA - CB in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "f329ab2376462e5f3128a2682086253c19222ac1e2bca45692f0c3b528f4c428",
          "private" : "18e597a4e2ccdb5e8052d57c9009938c2d4c43d6d8c9f93c98727b7311035953",
          "shared" : "8392160083b9af9e0ef44fcfce53ba8ff7282ee7a6c71ab66f8843a55d09cd68",
          "result" : "valid"
        },
        {
          "tcId" : 171,
          "comment" : "special case for DA in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "4fce3bb6c8aaf022dbd100e3cde3941b37d543f00401dba7da9bc143dfc55709",
          "private" : "88281cc51d5512d8814ea5249b879dcbad0323d38512dafbdc7ba85bba8c8d5d",
          "shared" : "42184e22c535530c457bd3b4f1084cbf5e297f502fe136b8d1daecf5334cc96c",
          "result" : "valid"
        },
        {
          "tcId" : 172,
          "comment" : "special case for DA in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "15c68851c1db844b5a1ef3456a659f188854b1a75fbdb2f68f514c9289ce711f",
          "private" : "d0e795450df0a813c6573496ec5793ca02e1bdbad10ed08df83fdaed68b3385f",
          "shared" : "f654d78e5945b24bc63e3e6d790e0ae986e53937764068b1bce920e1d79b756f",
          "result" : "valid"
        },
        {
          "tcId" : 173,
          "comment" : "special case for DA in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "4200a242434337b8914f49345301ed782b13594f9ede089c41fb1e7ea82c9053",
          "private" : "30b69a1cc1eb2d0b83ea213846e90a2c922088bdf294a6995bf6e6e77c646c41",
          "shared" : "cd8a09b04795edcc7061867373981aa748651ebdce5ec218a335b878cefe4872",
          "result" : "valid"
        },
        {
          "tcId" : 174,
          "comment" : "special case for DA in multiplication by 2",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
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        {
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        {
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        {
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          "private" : "0065171301bf6b90fb16efa35509161f1bd6b3b93130d490af9fe224dd155f45",
          "shared" : "bb4431bea7a5871c1be27a2674094627eaaa4425c99cd3fa41bd7e13cbd7bf7e",
          "result" : "acceptable"
        },
        {
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          "comment" : "special case for A in multiplication by 8",
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          ],
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          "private" : "10c81a4e78d82145b266e1d74b3869bf1c27427803ebb11c92ff8073d1e4cc46",
          "shared" : "330f5d0b5bccc90f7694dfdd9c6449a62d93af8840eaf571e3e0610e0198b03f",
          "result" : "valid"
        },
        {
          "tcId" : 484,
          "comment" : "special case for A in multiplication by 8",
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            "Twist"
          ],
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          "private" : "48b98b4a99eadd73012c07fe5c4a0b9590ac55e821353b41d5f665e17188bc41",
          "shared" : "bdef00caa514b2f8ab1fb2241e83787a02601ecdff6cf166c4210f8c1ade4211",
          "result" : "acceptable"
        },
        {
          "tcId" : 485,
          "comment" : "special case for DA in multiplication by 8",
          "flags" : [
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            "Twist"
          ],
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          "shared" : "bfd5b5acd2d89f213a26caf54062f9a24e6f6fd8ddd0cd2e5e47b7fea4a9c537",
          "result" : "acceptable"
        },
        {
          "tcId" : 486,
          "comment" : "special case for DA in multiplication by 8",
          "flags" : [
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          ],
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          "shared" : "c8085877800c175e949cdd88e196eb9c4841da2ac446dfed9085bda5bbec265d",
          "result" : "valid"
        },
        {
          "tcId" : 487,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "60f27ed0a27804ced237cf3c1cc776650fb320bae6d5acb564e97b56cba25210",
          "private" : "b0bfef6ec095b5a1f93917d32f16a21d0462c1fde17446f5a590232d9c895f4a",
          "shared" : "4c300895827382a9d1079028bd6f694a7a12ddac9c76abac6fdf5d29457a3310",
          "result" : "valid"
        },
        {
          "tcId" : 488,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
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            "Twist"
          ],
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          "private" : "60497d4464ed8823c50fbc6b68620826c4f629c1d9193058df6bf857c6aecc4b",
          "shared" : "7285fbb3f76340a979ab6e288727a2113332cf933809b018b8739a796a09d00b",
          "result" : "acceptable"
        },
        {
          "tcId" : 489,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "cf80c30fcbfd535666ca1da499e2e99cc537063e2de19458fcf92f5ee34acf47",
          "private" : "08c6cbe03792a3829f06e8ad54c55db113236ac0dcc9ab6a9a6b10eed1041b48",
          "shared" : "dabc3bd49f19cf7071802e43c863ed0b1d93a841588098b98a0c581bf4fe0a11",
          "result" : "acceptable"
        },
        {
          "tcId" : 490,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "698effe0ad42e15ee1f46fde6fc5074ffda183bcf1b2db8647f561ddd191dd60",
          "private" : "50044da3315dd082e9dfb6a1994aabb331f53e0d1c12633383b2a3c8678cfe4c",
          "shared" : "a61a3b150b4770532373676298c9a5da28adcc4365b06fe07c959ca80e477a57",
          "result" : "valid"
        },
        {
          "tcId" : 491,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "bd1565b4a3f8515dff577be6dcb414511d3d4ec2de15e0bd45b28e9cc4caef60",
          "private" : "285640da7a48252e35ddce60c14addb73097fbc9ac2f87c8d2772ce89aa6be4d",
          "shared" : "916ab4f3bfc8321e1087d9c5444f8f7a43e9ca6d29e7ba98a19dc05fff34ed4c",
          "result" : "valid"
        },
        {
          "tcId" : 492,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "b8649e13843f80cf5702398e4a9a8c378f29da96dfd6579f1eb4f7ea34df6765",
          "private" : "783271c21199ba2e94ead92cd9dd79f70aab378b59497455d327a5907dafcb4a",
          "shared" : "844a5dd5139554ca7b41cbe6a4796193912e7aa4e201cc68944ce2a55774a10f",
          "result" : "acceptable"
        },
        {
          "tcId" : 493,
          "comment" : "special case for AA in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "c396938737abdf791e09a97eba577c437d9b67c2dae94e13eab7296ec0fc737e",
          "private" : "d0676a0b9a046c62d5b2e740d9cc43fa37965dea93c23254f7bf569f2bebaa4a",
          "shared" : "10780333b2a6170136265bb5ebc6c818817f2e48ae372528c8f34433fdd6215a",
          "result" : "valid"
        },
        {
          "tcId" : 494,
          "comment" : "special case for DA - CB in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "557b825012d98f065bb95a2ab9b2d2d8b83fd2037912508c263f86d7e36c4f24",
          "private" : "608c84d2b76fccda579e974db3d3b2ce39a6bc0dad440599db22411b60467849",
          "shared" : "5ce84842dbae8b795b3d545343558045508f271383bfb3dd3943f4101398c864",
          "result" : "acceptable"
        },
        {
          "tcId" : 495,
          "comment" : "special case for z_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "ae98296d4a2fbcbb40b472f4063231608bb1465c226c8a4a2dff29afd915882a",
          "private" : "80f233936a8821936d39114c84d929e79760b27680779e5009e1709410dd8e4f",
          "shared" : "4f11aa0c313195f96f25cadcbf49f06a932d8b051879ea537d1c6dfee7f36d35",
          "result" : "valid"
        },
        {
          "tcId" : 496,
          "comment" : "special case for z_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "8b9d249829fbe81333d85050da88998f63fac665679e27dbbe21b745dd14e145",
          "private" : "c8d80b1a34f21194f047a6f0328bb947e2e7aff6a043553aa07f2abf99aaf048",
          "shared" : "1d619070bf5626064be10025e74e336c81ef3166b743f99c751fb90587c31d7e",
          "result" : "valid"
        },
        {
          "tcId" : 497,
          "comment" : "special case for z_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "61896093e2697c78230afdda12639cbe4342827b8d2b093281f148eb60b9034b",
          "private" : "9021477b452361580059364c6f94f4981ee94ea3f9b7d37439bc82ae45816f4d",
          "shared" : "532e797861db56b9d5db8825fb72f8629c2422f8abea721ad2d7b9e77a95b576",
          "result" : "valid"
        },
        {
          "tcId" : 498,
          "comment" : "special case for z_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "ccc1dc186229dba9a9360a0f7ff00247a3732625acaacd18ea13a9a8b40fac4f",
          "private" : "6079dae04c40a59ea4e0c8c17092e4c85ea9133d143307363487836df4e30349",
          "shared" : "4f678b64fd1f85cbbd5f7e7f3c8ac95ec7500e102e9006d6d42f48fb2473ab02",
          "result" : "acceptable"
        },
        {
          "tcId" : 499,
          "comment" : "special case for z_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "69e368c0b7e78eb9f3a53bf458f6e79dc4883bf9458f04a8c12c4ddd94d62151",
          "private" : "281db6a5ac9a47d4a7b2b91a87f6536ce62d4e5129b8d647b97f9c504014894c",
          "shared" : "e069fd06702f10f33adb8cf0766880634865b510e2da409241fb5f178050514a",
          "result" : "valid"
        },
        {
          "tcId" : 500,
          "comment" : "special case for z_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "f21f9badd98dd8a103cc2ab5484fac6c2bfdd2671ee6e674134a86b89cee9160",
          "private" : "d830f3c4785829a0f945857e0e85e0ae723702b57783b933cd2a2ad05484fe49",
          "shared" : "fee218eb1f92864486e83c1731f04bb8c7e6d7143e3915bcbf80fe03ff69dc77",
          "result" : "valid"
        },
        {
          "tcId" : 501,
          "comment" : "special case for E in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "e853062b2d6f38d021d645163ea208d0e193a479f11f99971b98e21188fd0b2c",
          "private" : "10230bd0721f4c8c4b921881dd88c603af501ee80e2102f8acc30cf8b2acd349",
          "shared" : "64bdfa0207a174ca17eeba8df74d79b25f54510e6174923034a4d6ee0c167e7b",
          "result" : "acceptable"
        },
        {
          "tcId" : 502,
          "comment" : "special case for E in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "362eb92dab9fb29f7ed0e03843dcc15797928c2b4e51ec260204179c1c12945f",
          "private" : "f0a34d6d76896e17cb8f66feda23115ffb96f246b823bb63dec08335787de74c",
          "shared" : "d7f4583ee4fe86af3a3f1dfcb295ba3a3e37bced7b9c6f000a95336530318902",
          "result" : "valid"
        },
        {
          "tcId" : 503,
          "comment" : "special case for E in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "ff543f1e81996e88631f030ceba7e603b13033efd205e68bd36b28468134aa73",
          "private" : "9073c1d0a173c7ff02dc966a165993d9c4c9357514f7a6bb7aaa4b0827718948",
          "shared" : "c1b5e5f4401c98fa14eba8aafae30a641bfd8fb132be03413f3bf29290d49e0b",
          "result" : "acceptable"
        },
        {
          "tcId" : 504,
          "comment" : "special case for x_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "90ef70844ead1613f69df7d78c057813f866c0d95e6d22caee4a012b9c1c4b33",
          "private" : "b0c1822566e016c12ae35ec035edd09af3cb7a48f55c9028e05e1178a8c3824e",
          "shared" : "9369ebb3d2b744341cba77302719a4b2d63aff612872f86d9877a76bc919ca1c",
          "result" : "valid"
        },
        {
          "tcId" : 505,
          "comment" : "special case for x_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "88c1ae575ad073dda66c6eacb7b7f436e1f8ad72a0db5c04e5660b7b719e4c4b",
          "private" : "e06fe64e2117796f997bbcd3bcad3067cf1291640a3a643fb359809a4016834d",
          "shared" : "335394be9c154901c0b4063300001804b1cd01b27fa562e44f3302168837166e",
          "result" : "acceptable"
        },
        {
          "tcId" : 506,
          "comment" : "special case for x_2 in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication",
            "Twist"
          ],
          "public" : "dcffc4c1e1fba5fda9d5c98421d99c257afa90921bc212a046d90f6683e8a467",
          "private" : "707ee81f113a244c9d87608b12158c50f9ac1f2c8948d170ad16ab0ad866d74b",
          "shared" : "7ecdd54c5e15f7b4061be2c30b5a4884a0256581f87df60d579a3345653eb641",
          "result" : "acceptable"
        },
        {
          "tcId" : 507,
          "comment" : "special case for BB in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "6c0044cd10578c5aff1ff4917b041b76c9a9ae23664eb8cf978bd7aa192cf249",
          "private" : "7089654baacbb65bd00cd8cb9de4680e748075e8842ca69d448fb50fea85e74e",
          "shared" : "0d8c21fa800ee63ce5e473d4c2975495062d8afa655091122cb41799d374594f",
          "result" : "valid"
        },
        {
          "tcId" : 508,
          "comment" : "special case for BB in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "d9089de902e143dcd9107e5a3393a3f7fe05d926c357b47e307a236cb590fd64",
          "private" : "8089784c52cd67e4536e568218c7b7033b28413f942fca24ed69e43496efa14b",
          "shared" : "db6fec44bf118316a6bdfbae9af447baede4d82daa16bed596ea6f05d4a51400",
          "result" : "valid"
        },
        {
          "tcId" : 509,
          "comment" : "special case for BB in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "8c4a26aa319c2cc4a4158c2bc69a0d5b340b60628a14cf31bb0ae5ddc38ae866",
          "private" : "00e73e4e013148b9f05273bad626bb126a40ec4558f5425096b48947e0a9de4a",
          "shared" : "ecc1204bc753c4cec4c9059fd7b504944ebf995ab1b1d49f0b3b325353be3a15",
          "result" : "valid"
        },
        {
          "tcId" : 510,
          "comment" : "special case for BB in multiplication by 9",
          "flags" : [
            "EdgeCaseMultiplication"
          ],
          "public" : "ce7295d1227c9062aab9cf02fc5671fb81632e725367f131d4122824a6132d68",
          "private" : "78ed4c9bf9f44db8d93388985191ecf59226b9c1205fe7e762c327581c75884e",
          "shared" : "3740de297ff0122067951e8985247123440e0f27171da99e263d5b4450f59f3d",
          "result" : "valid"
        },
        {
          "tcId" : 511,
          "comment" : "private key == -1 (mod order)",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "6c05871352a451dbe182ed5e6ba554f2034456ffe041a054ff9cc56b8e946376",
          "private" : "a023cdd083ef5bb82f10d62e59e15a6800000000000000000000000000000050",
          "shared" : "6c05871352a451dbe182ed5e6ba554f2034456ffe041a054ff9cc56b8e946376",
          "result" : "valid"
        },
        {
          "tcId" : 512,
          "comment" : "private key == 1 (mod order) on twist",
          "flags" : [
            "Twist"
          ],
          "public" : "2eae5ec3dd494e9f2d37d258f873a8e6e9d0dbd1e383ef64d98bb91b3e0be035",
          "private" : "58083dd261ad91eff952322ec824c682ffffffffffffffffffffffffffffff5f",
          "shared" : "2eae5ec3dd494e9f2d37d258f873a8e6e9d0dbd1e383ef64d98bb91b3e0be035",
          "result" : "acceptable"
        },
        {
          "tcId" : 513,
          "comment" : "special case private key",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "3e3e7708ef72a6dd78d858025089765b1c30a19715ac19e8d917067d208e0666",
          "private" : "4855555555555555555555555555555555555555555555555555555555555555",
          "shared" : "63ef7d1c586476ec78bb7f747e321e01102166bf967a9ea9ba9741f49d439510",
          "result" : "valid"
        },
        {
          "tcId" : 514,
          "comment" : "special case private key",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "9f40bb30f68ab67b1c4b8b664982fdab04ff385cd850deac732f7fb705e6013a",
          "private" : "4855555555555555555555555555555555555555555555555555555555555555",
          "shared" : "8b98ef4d6bf30df7f88e58d51505d37ed6845a969fe598747c033dcd08014065",
          "result" : "valid"
        },
        {
          "tcId" : 515,
          "comment" : "special case private key",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "be3b3edeffaf83c54ae526379b23dd79f1cb41446e3687fef347eb9b5f0dc308",
          "private" : "4855555555555555555555555555555555555555555555555555555555555555",
          "shared" : "cfa83e098829fe82fd4c14355f70829015219942c01e2b85bdd9ac4889ec2921",
          "result" : "valid"
        },
        {
          "tcId" : 516,
          "comment" : "special case private key",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "3e3e7708ef72a6dd78d858025089765b1c30a19715ac19e8d917067d208e0666",
          "private" : "b8aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa6a",
          "shared" : "4782036d6b136ca44a2fd7674d8afb0169943230ac8eab5160a212376c06d778",
          "result" : "valid"
        },
        {
          "tcId" : 517,
          "comment" : "special case private key",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "9f40bb30f68ab67b1c4b8b664982fdab04ff385cd850deac732f7fb705e6013a",
          "private" : "b8aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa6a",
          "shared" : "65fc1e7453a3f8c7ebcd577ade4b8efe1035efc181ab3bdb2fcc7484cbcf1e4e",
          "result" : "valid"
        },
        {
          "tcId" : 518,
          "comment" : "special case private key",
          "flags" : [
            "EdgeCasePrivateKey"
          ],
          "public" : "be3b3edeffaf83c54ae526379b23dd79f1cb41446e3687fef347eb9b5f0dc308",
          "private" : "b8aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa6a",
          "shared" : "e3c649beae7cc4a0698d519a0a61932ee5493cbb590dbe14db0274cc8611f914",
          "result" : "valid"
        }
      ]
    }
  ]
}