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ecdsa_secp384r1_sha512_p1363_test.json
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ecdsa_secp384r1_sha512_p1363_test.json
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{
"algorithm" : "ECDSA",
"schema" : "ecdsa_p1363_verify_schema.json",
"generatorVersion" : "0.9rc5",
"numberOfTests" : 308,
"header" : [
"Test vectors of type EcdsaVerify are meant for the verification",
"of IEEE P1363 encoded ECDSA signatures."
],
"notes" : {
"ArithmeticError" : {
"bugType" : "EDGE_CASE",
"description" : "Some implementations of ECDSA have arithmetic errors that occur when intermediate results have extreme values. This test vector has been constructed to test such occurences.",
"cves" : [
"CVE-2017-18146"
]
},
"EdgeCasePublicKey" : {
"bugType" : "EDGE_CASE",
"description" : "The test vector uses a special case public key. "
},
"EdgeCaseShamirMultiplication" : {
"bugType" : "EDGE_CASE",
"description" : "Shamir proposed a fast method for computing the sum of two scalar multiplications efficiently. This test vector has been constructed so that an intermediate result is the point at infinity if Shamir's method is used."
},
"IntegerOverflow" : {
"bugType" : "CAN_OF_WORMS",
"description" : "The test vector contains an r and s that has been modified, so that the original value is restored if the implementation ignores the most significant bits.",
"effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
},
"InvalidSignature" : {
"bugType" : "AUTH_BYPASS",
"description" : "The signature contains special case values such as r=0 and s=0. Buggy implementations may accept such values, if the implementation does not check boundaries and computes s^(-1) == 0.",
"effect" : "Accepting such signatures can have the effect that an adversary can forge signatures without even knowning the message to sign.",
"cves" : [
"CVE-2022-21449",
"CVE-2021-43572",
"CVE-2022-24884"
]
},
"ModifiedInteger" : {
"bugType" : "CAN_OF_WORMS",
"description" : "The test vector contains an r and s that has been modified. The goal is to check for arithmetic errors.",
"effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
},
"ModularInverse" : {
"bugType" : "EDGE_CASE",
"description" : "The test vectors contains a signature where computing the modular inverse of s hits an edge case.",
"effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.",
"cves" : [
"CVE-2019-0865"
]
},
"PointDuplication" : {
"bugType" : "EDGE_CASE",
"description" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission.",
"cves" : [
"2020-12607",
"CVE-2015-2730"
]
},
"RangeCheck" : {
"bugType" : "CAN_OF_WORMS",
"description" : "The test vector contains an r and s that has been modified. By adding or subtracting the order of the group (or other values) the test vector checks whether signature verification verifies the range of r and s.",
"effect" : "Without further analysis it is unclear if the modification can be used to forge signatures."
},
"SignatureSize" : {
"bugType" : "LEGACY",
"description" : "This test vector contains valid values for r and s. But the values are encoded using a smaller number of bytes. The size of an IEEE P1363 encoded signature should always be twice the number of bytes of the size of the order. Some libraries accept signatures with less bytes. To our knowledge no standard (i.e., IEEE P1363 or RFC 7515) requires any explicit checks of the signature size during signature verification."
},
"SmallRandS" : {
"bugType" : "EDGE_CASE",
"description" : "The test vectors contains a signature where both r and s are small integers. Some libraries cannot verify such signatures.",
"effect" : "While the signature in this test vector is constructed and similar cases are unlikely to occur, it is important to determine if the underlying arithmetic error can be used to forge signatures.",
"cves" : [
"2020-13895"
]
},
"SpecialCaseHash" : {
"bugType" : "EDGE_CASE",
"description" : "The test vector contains a signature where the hash of the message is a special case, e.g., contains a long run of 0 or 1 bits."
},
"Untruncatedhash" : {
"bugType" : "MISSING_STEP",
"description" : "If the size of the digest is longer than the size of the underlying order of the multiplicative subgroup then the hash digest must be truncated during signature generation and verification. This test vector contains a signature where this step has been omitted."
},
"ValidSignature" : {
"bugType" : "BASIC",
"description" : "The test vector contains a valid signature that was generated pseudorandomly. Such signatures should not fail to verify unless some of the parameters (e.g. curve or hash function) are not supported."
}
},
"testGroups" : [
{
"type" : "EcdsaP1363Verify",
"publicKey" : {
"type" : "EcPublicKey",
"curve" : "secp384r1",
"keySize" : 384,
"uncompressed" : "042da57dda1089276a543f9ffdac0bff0d976cad71eb7280e7d9bfd9fee4bdb2f20f47ff888274389772d98cc5752138aa4b6d054d69dcf3e25ec49df870715e34883b1836197d76f8ad962e78f6571bbc7407b0d6091f9e4d88f014274406174f",
"wx" : "2da57dda1089276a543f9ffdac0bff0d976cad71eb7280e7d9bfd9fee4bdb2f20f47ff888274389772d98cc5752138aa",
"wy" : "4b6d054d69dcf3e25ec49df870715e34883b1836197d76f8ad962e78f6571bbc7407b0d6091f9e4d88f014274406174f"
},
"publicKeyDer" : "3076301006072a8648ce3d020106052b81040022036200042da57dda1089276a543f9ffdac0bff0d976cad71eb7280e7d9bfd9fee4bdb2f20f47ff888274389772d98cc5752138aa4b6d054d69dcf3e25ec49df870715e34883b1836197d76f8ad962e78f6571bbc7407b0d6091f9e4d88f014274406174f",
"publicKeyPem" : "-----BEGIN PUBLIC KEY-----\nMHYwEAYHKoZIzj0CAQYFK4EEACIDYgAELaV92hCJJ2pUP5/9rAv/DZdsrXHrcoDn\n2b/Z/uS9svIPR/+IgnQ4l3LZjMV1ITiqS20FTWnc8+JexJ34cHFeNIg7GDYZfXb4\nrZYuePZXG7x0B7DWCR+eTYjwFCdEBhdP\n-----END PUBLIC KEY-----\n",
"sha" : "SHA-512",
"tests" : [
{
"tcId" : 1,
"comment" : "signature malleability",
"flags" : [
"ValidSignature"
],
"msg" : "313233343030",
"sig" : "814cc9a70febda342d4ada87fc39426f403d5e89808428460c1eca60c897bfd6728da14673854673d7d297ea944a15e27b0a10ee2dd0dd2fab75095af240d095e446faba7a50a19fbb197e4c4250926e30c5303a2c2d34250f17fcf5ab3181a6",
"result" : "valid"
},
{
"tcId" : 2,
"comment" : "replaced r by r + n",
"flags" : [
"RangeCheck"
],
"msg" : "313233343030",
"sig" : "01814cc9a70febda342d4ada87fc39426f403d5e8980842845d38217e2bcceedb5caa7aef8bc35edeec4beb155610f3f550084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 3,
"comment" : "replaced r by r + 256 * n",
"flags" : [
"RangeCheck"
],
"msg" : "313233343030",
"sig" : "0100814cc9a70febda342d4ada87fc39426f403d5e898084280d6f6c4c54ffc59f2e8c9b538f242cc160c3ec02b7597388e2000084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 4,
"comment" : "replaced r by n - r",
"flags" : [
"ModifiedInteger"
],
"msg" : "313233343030",
"sig" : "7eb33658f01425cbd2b5257803c6bd90bfc2a1767f7bd7b9bb4483212b9f6e08e58c6c6bd52b610715198180387b139184f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 5,
"comment" : "replaced r by r + 2**384",
"flags" : [
"IntegerOverflow"
],
"msg" : "313233343030",
"sig" : "01814cc9a70febda342d4ada87fc39426f403d5e89808428460c1eca60c897bfd6728da14673854673d7d297ea944a15e20084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 6,
"comment" : "replaced r by r + 2**448",
"flags" : [
"IntegerOverflow"
],
"msg" : "313233343030",
"sig" : "010000000000000000814cc9a70febda342d4ada87fc39426f403d5e89808428460c1eca60c897bfd6728da14673854673d7d297ea944a15e200000000000000000084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 7,
"comment" : "replaced s by s + n",
"flags" : [
"RangeCheck"
],
"msg" : "313233343030",
"sig" : "0184f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e5fd3ad1cb7a61dc9507f6eeb2a65341ad0cac035dfee58d1400084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 8,
"comment" : "replaced s by s + 256 * n",
"flags" : [
"RangeCheck"
],
"msg" : "313233343030",
"sig" : "010084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e276f975129e9147ac941628fc0cd2aee42c9ed8741e6bd1acd000084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 9,
"comment" : "replaced s by s + 2**384",
"flags" : [
"IntegerOverflow"
],
"msg" : "313233343030",
"sig" : "0184f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd0084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 10,
"comment" : "replaced s by s + 2**448",
"flags" : [
"IntegerOverflow"
],
"msg" : "313233343030",
"sig" : "01000000000000000084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd00000000000000000084f5ef11d22f22d0548af6a50dbf2f6a1bb9054585af5e600c49cf35b1e69b712754dd781c837355ddd41c752193a7cd",
"result" : "invalid"
},
{
"tcId" : 11,
"comment" : "Signature with special case values r=0 and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 12,
"comment" : "Signature with special case values r=0 and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 13,
"comment" : "Signature with special case values r=0 and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 14,
"comment" : "Signature with special case values r=0 and s=n - 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972",
"result" : "invalid"
},
{
"tcId" : 15,
"comment" : "Signature with special case values r=0 and s=n + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974",
"result" : "invalid"
},
{
"tcId" : 16,
"comment" : "Signature with special case values r=0 and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 17,
"comment" : "Signature with special case values r=0 and s=p + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 18,
"comment" : "Signature with special case values r=1 and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 19,
"comment" : "Signature with special case values r=1 and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 20,
"comment" : "Signature with special case values r=1 and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 21,
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],
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},
{
"tcId" : 22,
"comment" : "Signature with special case values r=1 and s=n + 1",
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"InvalidSignature"
],
"msg" : "313233343030",
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"result" : "invalid"
},
{
"tcId" : 23,
"comment" : "Signature with special case values r=1 and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 24,
"comment" : "Signature with special case values r=1 and s=p + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 25,
"comment" : "Signature with special case values r=n and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 26,
"comment" : "Signature with special case values r=n and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 27,
"comment" : "Signature with special case values r=n and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 28,
"comment" : "Signature with special case values r=n and s=n - 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972",
"result" : "invalid"
},
{
"tcId" : 29,
"comment" : "Signature with special case values r=n and s=n + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974",
"result" : "invalid"
},
{
"tcId" : 30,
"comment" : "Signature with special case values r=n and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 31,
"comment" : "Signature with special case values r=n and s=p + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 32,
"comment" : "Signature with special case values r=n - 1 and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 33,
"comment" : "Signature with special case values r=n - 1 and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 34,
"comment" : "Signature with special case values r=n - 1 and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 35,
"comment" : "Signature with special case values r=n - 1 and s=n - 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972",
"result" : "invalid"
},
{
"tcId" : 36,
"comment" : "Signature with special case values r=n - 1 and s=n + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974",
"result" : "invalid"
},
{
"tcId" : 37,
"comment" : "Signature with special case values r=n - 1 and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 38,
"comment" : "Signature with special case values r=n - 1 and s=p + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 39,
"comment" : "Signature with special case values r=n + 1 and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 40,
"comment" : "Signature with special case values r=n + 1 and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 41,
"comment" : "Signature with special case values r=n + 1 and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 42,
"comment" : "Signature with special case values r=n + 1 and s=n - 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972",
"result" : "invalid"
},
{
"tcId" : 43,
"comment" : "Signature with special case values r=n + 1 and s=n + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974",
"result" : "invalid"
},
{
"tcId" : 44,
"comment" : "Signature with special case values r=n + 1 and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 45,
"comment" : "Signature with special case values r=n + 1 and s=p + 1",
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"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 46,
"comment" : "Signature with special case values r=p and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 47,
"comment" : "Signature with special case values r=p and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 48,
"comment" : "Signature with special case values r=p and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 49,
"comment" : "Signature with special case values r=p and s=n - 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972",
"result" : "invalid"
},
{
"tcId" : 50,
"comment" : "Signature with special case values r=p and s=n + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974",
"result" : "invalid"
},
{
"tcId" : 51,
"comment" : "Signature with special case values r=p and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 52,
"comment" : "Signature with special case values r=p and s=p + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 53,
"comment" : "Signature with special case values r=p + 1 and s=0",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"result" : "invalid"
},
{
"tcId" : 54,
"comment" : "Signature with special case values r=p + 1 and s=1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"result" : "invalid"
},
{
"tcId" : 55,
"comment" : "Signature with special case values r=p + 1 and s=n",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973",
"result" : "invalid"
},
{
"tcId" : 56,
"comment" : "Signature with special case values r=p + 1 and s=n - 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52972",
"result" : "invalid"
},
{
"tcId" : 57,
"comment" : "Signature with special case values r=p + 1 and s=n + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000ffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52974",
"result" : "invalid"
},
{
"tcId" : 58,
"comment" : "Signature with special case values r=p + 1 and s=p",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffff",
"result" : "invalid"
},
{
"tcId" : 59,
"comment" : "Signature with special case values r=p + 1 and s=p + 1",
"flags" : [
"InvalidSignature"
],
"msg" : "313233343030",
"sig" : "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff000000000000000100000000",
"result" : "invalid"
},
{
"tcId" : 60,
"comment" : "Edge case for Shamir multiplication",
"flags" : [
"EdgeCaseShamirMultiplication"
],
"msg" : "3637323636",
"sig" : "ac042e13ab83394692019170707bc21dd3d7b8d233d11b651757085bdd5767eabbb85322984f14437335de0cdf5656848f8a277dde5282671af958e3315e795a20e2885157b77663a67a77ef2379020c5d12be6c732fd725402cb9ee8c345284",
"result" : "valid"
},
{
"tcId" : 61,
"comment" : "special case hash",
"flags" : [
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],
"msg" : "33393439313934313732",
"sig" : "d51c53fa3e201c440a4e33ea0bbc1d3f3fe18b0cc2a4d6812dd217a9b426e54eb4024113b354441272174549c979857c0992c5442dc6d5d6095a45720f5c5344acb78bc18817ef32c1334e6eba7726246577d4257942bdefe994c1575ed15a6e",
"result" : "valid"
},
{
"tcId" : 62,
"comment" : "special case hash",
"flags" : [
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],
"msg" : "35333637363431383737",
"sig" : "c8d44c8b70abed9e6ae6bbb9f4b72ed6e8b50a52a8e6e1bd3447c0828dad26fc6f395ba09069b307f040d1e86a42c02201e0af500505bb88b3a2b0f132acb4da64adddc0598318cb7612b5812d29c2d0dde1413d0ce40044b44590e91b97bacd",
"result" : "valid"
},
{
"tcId" : 63,
"comment" : "special case hash",
"flags" : [
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],
"msg" : "35363731343831303935",
"sig" : "d3513bd06496d8576e01e8c4b284587acafd239acfd739a19a5899f0a00d269f990659a671b2e0e25f935b3a28a1f5fd366b35315ce114bffbb75a969543646ee253f046a8630fbbb121ecc5d62df4a7eb09d2878805d5dab9c9b3880b747b68",
"result" : "valid"
},
{
"tcId" : 64,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "3131323037313732393039",
"sig" : "b08c4018556ca8833b524504e30c58346e1c0345b678fdf91891c464a33180ed85a99bc8911acf4f22aceb40440afc944a595f7eed2db9f6bd3e90355d5c0e96486dc64242319e41fc07be00a732354b62ec9c34319720b9ffb24c994b1cf875",
"result" : "valid"
},
{
"tcId" : 65,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "3131323938303334323336",
"sig" : "2b08f784617fd0707a83d3c2615efa0c45f28d7d928fc45cd8a886e116b45f4686aee97474d091012e27057b6ba8f7e6c440aa6ecb63e0d43c639b37e5810a96def7eec8e90a4c55e5b57971c48dfb4e850232fbb37bd32bb3b0523b815ff985",
"result" : "valid"
},
{
"tcId" : 66,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "39383736303239363833",
"sig" : "0609f4ec120c8838bda916f668e9600af7652e1d3f7182734f97f54da5d106bbfd216c32f227b76d583de1c53949b2ee46926dffc766ff90c3b921b3e51a2982a1072314c1fdfb4175de7adea5a6f97bdff587a473504a9c402aac7c05bd4785",
"result" : "valid"
},
{
"tcId" : 67,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "3230323034323936353139",
"sig" : "5ae2220e4716e1ef0382afcc39db339e5bd5f05e8a188d4a5daaab71c6c35263ee8820a34558092877449ebb15898c5cc4d38e2e85451c43ee35b0c56196cbf3059acf2b8b529f06dc1de9b281d9b0f3f3983df8936e944ab0b18330a342ee88",
"result" : "valid"
},
{
"tcId" : 68,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "31343531363639313830",
"sig" : "51fb84ed71d436c737ab24e2a45c68f8f623748be2caebd89e02bfc89309b8350042ab1b97849b9f680f044a58765175d4a8f60791657a8c12985fd896ac77e7d95cb050582f2466471dc2c6dcf90db05ce34beadbfcfe690dc56c0cc9944007",
"result" : "valid"
},
{
"tcId" : 69,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "31303933363835393531",
"sig" : "40159290d161df6b3f81a92cefb6df56149d588e7b886bf24939f5c8b6bb515d325b3764f0ed284a77fa9081ccfa5237bd55dfb47709287ce7b88dfd96ac7543eeba9bd31b8c91f203d2b90418122406399c80a53539b81f1cb60fa3b23a2563",
"result" : "valid"
},
{
"tcId" : 70,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "36323139353630323031",
"sig" : "d7fb9f53865cdf9d4cad6f66981aea35a1454858ceb678d7b851c12a4c6644fe1915a4b219b51389a5ae2c98a433cc3a94ad75c3dea88740205cab41032dfe149341cf4ee94dcd2f0c8bbe5af5860b30b5e1f764b2c767b09fd10761050c989c",
"result" : "valid"
},
{
"tcId" : 71,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "35363832343734333033",
"sig" : "157ef8f85cdb9257983d06a7f29674752659097364b401e701705b3bd9ead884fd32141320ae76ae05f6fc7ec155d6c2ccadc3851020e41dd91bc28a6c073409136a47f20b8dbf2553fd456a8ed5fa7e73e4ec59dca499e0d082efbb9ad34dc7",
"result" : "valid"
},
{
"tcId" : 72,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "33373336353331373836",
"sig" : "e763001769c76f6a6d06fad37b584d7f25832501491bec283b3b6836f947dc4e2cef021c6c6e525b0a6a3890d1da122aacbd88729cce3992d14ec99e69ff0712b82a33a1c1e8b90e1399c66fe196f7c99bdb3ff81db77dc25ae6f0c1a025117d",
"result" : "valid"
},
{
"tcId" : 73,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "34373935393033373932",
"sig" : "c6425b6b046ec91ebc32b9e6de750e5d3d36d4ddc6dffd25ba47817385a9466f6fc52259c7d02c66af5bf12045b5659d84cdc06e35fecc85a3e00b16488eac3584942f663d8b59df111c0650139d7cda20d68dccae569d433170d832147bc94c",
"result" : "valid"
},
{
"tcId" : 74,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "39333939363131303037",
"sig" : "3061f090e4932133a0e08ac984d1c8d8d4f565e21cf15427671503880341265cd44f35a437ee3c3a8857579dd7af0c3593ae374a0f63dcbe41a1b7b07a50faf2b33f35e0b6600bb36aa5cda05238640fa35c635c0fa78e1410f3a879bbb8a541",
"result" : "valid"
},
{
"tcId" : 75,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "31303837343931313835",
"sig" : "0ccc627f35454cc84e08a828f5bd5f5e41eeeaa40475bcc2e71ff372e8c718a5e179d3b7f2d7051db9060c4c978eb638b12d0240afbdfc64c60861548c33663b8960316a55f860cc33d1908e89aa6fc9519f23a900e0488fa6a37cfb37856565",
"result" : "valid"
},
{
"tcId" : 76,
"comment" : "special case hash",
"flags" : [
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],
"msg" : "33323336363738353030",
"sig" : "e72419fb67ebbcc0de9c46ce5475c608f9de7e83fc5e582920b8e9848000d820d393fdac6c96ea35ce941cb1495164006aa19934ef60f4a247bc261ba256283a94857a268f42a0939c95a536fbd4f8e1f1c285a7b164c12213abb9e3393cbe9f",
"result" : "valid"
},
{
"tcId" : 77,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "31343438393937373033",
"sig" : "8b740931f9afa8a04c08cde896b7fdd9aca3177d5e4a3e5a51e54bfa824b66ab11df4e90f49798d644babfede7830224afd91e7ce15059a5b5499e5aef4afa91fd090e4e5029b3f4348f0d4349df11745869f9255117eea405a78af5dd6a646d",
"result" : "valid"
},
{
"tcId" : 78,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "35373134363332383037",
"sig" : "989024bce204a7539fbd2b185ecf375590d873177c1ff26bbf755838ae5bcde180054663702ac3a4e68fe8b58fd88c70bdbedf64e424dbd7f979f83adef3fc85077fa76f8b1724815b5b8c24fde7fbd72f4b369a415d9bbf565cdc459bdce54c",
"result" : "valid"
},
{
"tcId" : 79,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "323236343837343932",
"sig" : "22624fc23403955c0c9f5b89871177fa53879c8424de3b4ab1bcbcddc6e57b870b0491b848e19f728722b3163f4aa3285bb82642cdaa84d6977fb95b3ede4ec7f2d54881cf435636d3509816f13ebb7be24fd7d4e1e81fddf07bde685e8d630d",
"result" : "valid"
},
{
"tcId" : 80,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "35333533343439343739",
"sig" : "da5a2daa7437df4566ebba6ac5ed424655633e354ef4d943dc95ddefb0dae69f3616e506cc8cb5bc433a82ba71f6feb45107b24041bba45073ce54488a5aef861e7805bbb8f970aedc1c59149cfe72c7025e2d117337e8677c88ef43374e6907",
"result" : "valid"
},
{
"tcId" : 81,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "34373837333033383830",
"sig" : "2b0659fb7fa5fc1fce767418c20978de9a6a59941fc54f8380619b2ab2a7d6039de5373fbb503c24f2ce38e9c57995de0d94dba98dd874bfffeac96a9295b6ab667708b8e33252edc029574c484a132135b13e52db6f877987c1be4f51fca193",
"result" : "valid"
},
{
"tcId" : 82,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "32323332313935383233",
"sig" : "4a5a14f1ecf053bf3ec14843db8c7dd153e9545d20d76345a9e1d1a8fcb49558ca1ee5a9402311c2eaa102e646e57c2c1573b8b4b633496da320e99a85c6f57b7ee543548180a77f7fced2d0665911cb4cde9de21bc1a981b97742c9040a6369",
"result" : "valid"
},
{
"tcId" : 83,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "3130373339333931393137",
"sig" : "104e66e6e26c36633c0af001f0d9a216236816923ec93b70bea0a8ff053a15aaaef5fe3483e5cc73564e60fe8364ce0eec2df9100e34875a5dc436da824916487b38e7aeb02944860e257fd982b01782b3bd6b13b376e8a6dbd783dfa0d77169",
"result" : "valid"
},
{
"tcId" : 84,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "31383831303237333135",
"sig" : "4b06795da82bda354e8d9422a76c7bc064027fcdd68f95b7bc6177a85b2d822c84dc31cb91fc016afa48816a3a01926718e31018e312d3dd3dd49ec355fdb0def3bb3e44393c26cf1bc110b23a3aacf6c442bfcec5535ce37527d0e068f75c03",
"result" : "valid"
},
{
"tcId" : 85,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "36303631363933393037",
"sig" : "ad75ca5a3df34e5a6d3ea4c9df534e8910cfb1d8c605fc398fbee4c05f2b715bd2146221920de8bac86c2b210221bcffa322d3df3bb2cf9e4215adf1ff459e70f2f86bec6dd6af5d04ae307d21ed5955136c8e258fdc0f9cbd6cf89c31aa691f",
"result" : "valid"
},
{
"tcId" : 86,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "38383935323237303934",
"sig" : "b0fa6289cc61bab335932ea1ac6540462653cc747ef67827825f77689a4398602297835d08aa16e23a76dea9f75404ef278d654a0b50c57d13f9c9c8c7c694001167f8e3b71491772a7427f1410fb6de518740c22e455e58de48846479b300cc",
"result" : "valid"
},
{
"tcId" : 87,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "31353830323334303934",
"sig" : "c216cb4fe97facb7cd66f02cd751155b94fa2f35f8a62ba565aca575728af533540ff5d769b7c15c1345ab6414e15068278a8a372b75d6eb17a4f7c7f62d5555c7357a1a047026bead52185cbcc01d73b80a1577e86220b2278da2b1ee8c983a",
"result" : "valid"
},
{
"tcId" : 88,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "33393635393931353132",
"sig" : "9591c80453cffbcd0b8d6d20fce0cbb2a458e54aed7ba1c767e6c017af4c4aa07a76859c0b249f6692a3c9ace893f14e893b567cd2959cd60557d3d6013d6e1741421a6edc5bc18244b3e8d7744e57928ce006a3fbd6e6324cb8ea3e5177e7e3",
"result" : "valid"
},
{
"tcId" : 89,
"comment" : "special case hash",
"flags" : [
"SpecialCaseHash"
],
"msg" : "32323838373332313938",
"sig" : "350b5515ba9785f149e2a566c14f4178757bb325179888f526f7db11161aedcd752551381316c2713f5de21d3d517af097d48a90c3bb3444736bec69db0649f82428b39238ada6048a0bead84f2f3b73816b48fed4d57b5f87a194ce4004ed7b",
"result" : "valid"
},
{
"tcId" : 90,
"comment" : "special case hash",
"flags" : [