{ "testType": "EcdsaVerify", "algorithm": { "type": "Ecdsa", "curve": "secp256r1", "sha": "KECCAK256", "encoding": "RAW", "normalize": false, "signature_generation": "Generic" }, "version": "0.34", "description": [ "The underlying elliptic curve is secp256r1", "The message digest for hashing the input is KECCAK256", "Note KECCAK256 is not SHA-3, since it does not include the domain bits added by NIST.", "Signatures are dictionaries containing r, s and id, where id is the recovery id used by a number of protocols that verify signatures by recovering the public key. Public keys are given as a pair of coordinates", "The test vectors were generated for signature verification through public key recovery." ], "references": [], "numTests": 247, "tests": [ { "tcId": 1, "publicKeyUncompressed": "04a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5c17aa5bdecb4f86ac3a1e94d54beb591589197ceb5ac061afb9ddd311f2931ae", "publicKeyCompressed": "02a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5", "msg": "", "sig": { "r": "2549ca541c1b0a06379725f05a295e23f24ac9ee5d087fe773d045bd29c825f7", "s": "265034ab0c6643fa28d1f116b2040fe45903b3072fa95ce18d1023346bc07255", "id": 0 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 2, "publicKeyUncompressed": "04a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5c17aa5bdecb4f86ac3a1e94d54beb591589197ceb5ac061afb9ddd311f2931ae", "publicKeyCompressed": "02a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5", "msg": "000102030405060708090a0b0c0d0e0f", "sig": { "r": "008799631131d6f61405eb770ba66df274e75464ad8ca419f54c3b7b3099b1862c", "s": "0ea2d4f842b88a20e178c3980bce30d44147072e1ce683706f9204867e7d2697", "id": 0 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 3, "publicKeyUncompressed": "04a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5c17aa5bdecb4f86ac3a1e94d54beb591589197ceb5ac061afb9ddd311f2931ae", "publicKeyCompressed": "02a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5", "msg": "616263", "sig": { "r": "00e5d49e587060dbe0b484657540cd511790bf00e562cad532b781b20aed88bdbd", "s": "00ad3636b42741891a3bdb1c9db389f7262bbb60670cf8d910652f3c9731326e2b", "id": 0 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 4, "publicKeyUncompressed": "04a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5c17aa5bdecb4f86ac3a1e94d54beb591589197ceb5ac061afb9ddd311f2931ae", "publicKeyCompressed": "02a0009c3b693aa32d0547fe1cbc10bcd2e0e971d6f5dd8e18326bb904655ea1c5", "msg": "54657374", "sig": { "r": "0562adcacb0ab69493c6096783650721fdda1b80cc111bc1d295bbae6d925292", "s": "00b6a81b6b65534de1d81a59ed67de9c08e7bcbd0c60f0cc51240276273db26f5f", "id": 1 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 5, "publicKeyUncompressed": "04d372ac5e8f88e19470342f4d936ec18dc69ea4677a3191a4c6012e09148289e6f4fec98c6ebcfa0dd2b3f950b12f73d97d27bd60b01d1f7d84d01847a74a2295", "publicKeyCompressed": "03d372ac5e8f88e19470342f4d936ec18dc69ea4677a3191a4c6012e09148289e6", "msg": "54657374", "sig": { "r": "05", "s": "05", "id": 0 }, "comment": "r=5, s=5", "valid": true, "flags": ["special_rs"] }, { "tcId": 6, "publicKeyUncompressed": "04fae09d7e64f341702ec5dce1394f91f7c58bad5d3f8b80d0f7cbad6a36a1b92369d7ae8135663c190523c78a67410fdbd59c320679225d0ec44436b30fc456cd", "publicKeyCompressed": "03fae09d7e64f341702ec5dce1394f91f7c58bad5d3f8b80d0f7cbad6a36a1b923", "msg": "54657374", "sig": { "r": "06", "s": "06", "id": 0 }, "comment": "r=6, s=6", "valid": true, "flags": ["special_rs"] }, { "tcId": 7, "publicKeyUncompressed": "043d845b56288c8c983d50dafb97e6182fb40817d3226501e1b209bf4e7f02a35d975bae53148e0db51ad43376176c8426b2e43913866feba9c94a14a265949e91", "publicKeyCompressed": "033d845b56288c8c983d50dafb97e6182fb40817d3226501e1b209bf4e7f02a35d", "msg": "54657374", "sig": { "r": "08", "s": "08", "id": 0 }, "comment": "r=8, s=8", "valid": true, "flags": ["special_rs"] }, { "tcId": 8, "publicKeyUncompressed": "04e9e3cf506b96325151a73e661523ea7a8c06b388d47d2791b0a428544f1db47545410b125120be9def320f80d24f02a0d9c9c1404d3ce404f00c645f00c61c33", "publicKeyCompressed": "03e9e3cf506b96325151a73e661523ea7a8c06b388d47d2791b0a428544f1db475", "msg": "54657374", "sig": { "r": "09", "s": "09", "id": 0 }, "comment": "r=9, s=9", "valid": true, "flags": ["special_rs"] }, { "tcId": 9, "publicKeyUncompressed": "04284b6c826d1f79275a447ba592767fca834795b46eae3a45a39c7b4a1d2e5173df9649f6b954414285f45bb748964173a2257432f874e62fa658c18c4595f2a2", "publicKeyCompressed": "02284b6c826d1f79275a447ba592767fca834795b46eae3a45a39c7b4a1d2e5173", "msg": "54657374", "sig": { "r": "7fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192a9", "s": "7fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192a9", "id": 0 }, "comment": "r=(n+1)/2, s=(n+1)/2", "valid": true, "flags": ["special_rs"] }, { "tcId": 10, "publicKeyUncompressed": "0413e352a42802af4c8e107df369bf9a9348e6fbaa9fcf9e325b609e643c2184ff04a274afe2c8fcc58887f766f03eaf2193b4369dfddda69d2af00bd770d2108e", "publicKeyCompressed": "0213e352a42802af4c8e107df369bf9a9348e6fbaa9fcf9e325b609e643c2184ff", "msg": "54657374", "sig": { "r": "7fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192aa", "s": "7fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192aa", "id": 0 }, "comment": "r=(n+3)/2, s=(n+3)/2", "valid": true, "flags": ["special_rs"] }, { "tcId": 11, "publicKeyUncompressed": "044639ccf0d42467d05082bb2e8c2146d196b295b13d2c48624127cd88789ca7a22352b0aaf9bed14c1924587a910ee6cf47c78a87aab277ff15b4bf3f26b4ee97", "publicKeyCompressed": "034639ccf0d42467d05082bb2e8c2146d196b295b13d2c48624127cd88789ca7a2", "msg": "54657374", "sig": { "r": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f", "s": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f", "id": 0 }, "comment": "r=n-2, s=n-2", "valid": true, "flags": ["special_rs"] }, { "tcId": 12, "publicKeyUncompressed": "0412818025fa916250d2eb96c0278d1e144efa171f9e99dccf9c9165435028743138b067891a32f42dbcf40322334216b404d26f78853f0ca5920021cfde76c2c9", "publicKeyCompressed": "0312818025fa916250d2eb96c0278d1e144efa171f9e99dccf9c91654350287431", "msg": "54657374", "sig": { "r": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254e", "s": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254e", "id": 0 }, "comment": "r=n-3, s=n-3", "valid": true, "flags": ["special_rs"] }, { "tcId": 13, "publicKeyUncompressed": "0443df016d32756883902412519843591f395e7ffded8862d9d6397f036e5e15627dc285c0949793ad726630433e90077d6abcb569d0f97616abcb5f9c6ded63ab", "publicKeyCompressed": "0343df016d32756883902412519843591f395e7ffded8862d9d6397f036e5e1562", "msg": "54657374", "sig": { "r": "7b", "s": "00b21642c7a6f4de9c8590b21642c8590af2b6f12ae38add9423fbae7161a92517", "id": 0 }, "comment": "r and s^-1 small", "valid": true, "flags": ["special_rs"] }, { "tcId": 14, "publicKeyUncompressed": "04ce3f6b6329526ab78839e7a46dad7998253660aedb0ad66bc2d2e68385384be9a8ec8fe7405070d3139e8809c88d8ef98153403c66664f0b4311b8197767a8ce", "publicKeyCompressed": "02ce3f6b6329526ab78839e7a46dad7998253660aedb0ad66bc2d2e68385384be9", "msg": "54657374", "sig": { "r": "3039", "s": "00e62027d80c0b6a9ea2c034e51427b717a4eab2c011de1f466bdbc6bb4fd7667c", "id": 0 }, "comment": "r and s^-1 are 16 bit integers", "valid": true, "flags": ["special_rs"] }, { "tcId": 15, "publicKeyUncompressed": "0451f3c3c88ac6708ed4c984925daa62358b58ee169d38c7278c42c35285fe3e6732c274e778195f05d52fc3a87dd195e96940ba116303458366f6f927e3a22055", "publicKeyCompressed": "0351f3c3c88ac6708ed4c984925daa62358b58ee169d38c7278c42c35285fe3e67", "msg": "54657374", "sig": { "r": "24f22125a254278f", "s": "008d00c610ee357b04f2eeacc811ffc54895931b3287c3a4e3f80b39005d45688a", "id": 0 }, "comment": "r and s^-1 are 64 bit integers", "valid": true, "flags": ["special_rs"] }, { "tcId": 16, "publicKeyUncompressed": "04a1ba16b8ad1c97abfb70803ed3ef37c45f29a5584ea2fa01b47393f098d465b8ff2fd16a9d618380b59aa72d0e0a7e3a063b8e5b8995991a62ac1ef7d5c4690d", "publicKeyCompressed": "03a1ba16b8ad1c97abfb70803ed3ef37c45f29a5584ea2fa01b47393f098d465b8", "msg": "54657374", "sig": { "r": "00fffffffffffffffd", "s": "1d702a231af70e2602791bfd535e466efac1e065553149e559e3e70f9bf9a3e6", "id": 0 }, "comment": "r and s^-1 are edge case 64-bit integers", "valid": true, "flags": ["special_rs"] }, { "tcId": 17, "publicKeyUncompressed": "04fcafa281c79547a7029ab973aee900d22ce428ad4d132d196b0583ca8439e3d58025546a5bda1005521624e8a41a283fbea776a89ac5a28b6f793b14c233a6d5", "publicKeyCompressed": "03fcafa281c79547a7029ab973aee900d22ce428ad4d132d196b0583ca8439e3d5", "msg": "54657374", "sig": { "r": "008000000000000000000000000000000000000000000000000000000000000004", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 0 }, "comment": "R: x-coordinate >= 2**255", "valid": true, "flags": ["special_R"] }, { "tcId": 18, "publicKeyUncompressed": "04ed4ad8d7544147e24909875f31811ace36ead0f68076cf8d3e2e376f0d58a23fd6ef49e9232926690488050a0dd277a3c0fc645a17fadc41c1d71bef73421c2c", "publicKeyCompressed": "02ed4ad8d7544147e24909875f31811ace36ead0f68076cf8d3e2e376f0d58a23f", "msg": "54657374", "sig": { "r": "008000000000000000000000000000000000000000000000000000000000000004", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 0 }, "comment": "R: x-coordinate >= 2**255", "valid": true, "flags": ["special_R"] }, { "tcId": 19, "publicKeyUncompressed": "047c0ab77748801fccedf5a20ef880d221bd4676e71849ea0c1bf3c832a9f3d0ea8ee8efe6acf5dd2b503fb8600004724085a6f72140281ea74820fcf2224aff69", "publicKeyCompressed": "037c0ab77748801fccedf5a20ef880d221bd4676e71849ea0c1bf3c832a9f3d0ea", "msg": "54657374", "sig": { "r": "0100000000000000000000000000000000000000000000000000000000000000", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 0 }, "comment": "R: x-coordinate >= 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 20, "publicKeyUncompressed": "04e8dc2281d996162fcb36329783a87417d1402a35b56f2b04a85e98468f37304fef6ba607d34eaca3b89b81d82dcc4428f01da6cb071027af89bdb624a8d2c51e", "publicKeyCompressed": "02e8dc2281d996162fcb36329783a87417d1402a35b56f2b04a85e98468f37304f", "msg": "54657374", "sig": { "r": "0100000000000000000000000000000000000000000000000000000000000000", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 0 }, "comment": "R: x-coordinate >= 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 21, "publicKeyUncompressed": "046cc501ab4ccbe491bd0967f212444da8e7c2d68d35548adff4723932d5f9183c3483e2b733a900b8749712569a6fcaa7f69dd90fd256bc623ac545437a909dc3", "publicKeyCompressed": "036cc501ab4ccbe491bd0967f212444da8e7c2d68d35548adff4723932d5f9183c", "msg": "54657374", "sig": { "r": "0080", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 0 }, "comment": "R: small x coordinate", "valid": true, "flags": ["special_R"] }, { "tcId": 22, "publicKeyUncompressed": "0427a4b9f169a2d5ee2e66aa64756887b17212bffc462ace548a13aa811749e835c726ad8458b21191be15d17ef0fac6cbe5f2404f825bf9efcdaad82a9d121668", "publicKeyCompressed": "0227a4b9f169a2d5ee2e66aa64756887b17212bffc462ace548a13aa811749e835", "msg": "54657374", "sig": { "r": "0080", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 0 }, "comment": "R: small x coordinate", "valid": true, "flags": ["special_R"] }, { "tcId": 23, "publicKeyUncompressed": "04bb3816e0107fff850a68300343d0859667e5b2574673de3e84b663b76f35cbe4a1ba3d261c411214b41efb1d573ffed76b1ff8fbb27ab4c1c45e21c120f0f579", "publicKeyCompressed": "03bb3816e0107fff850a68300343d0859667e5b2574673de3e84b663b76f35cbe4", "msg": "54657374", "sig": { "r": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 2 }, "comment": "R: large x-coordinate (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 24, "publicKeyUncompressed": "047c42683243164cea8754bdb552c07f57aa5d75f201ffa49abf4a58a0721e7cb772623ff6d98ea5a77a86815d5681b22d3e545294eb1e7ae5999be9f39993ad97", "publicKeyCompressed": "037c42683243164cea8754bdb552c07f57aa5d75f201ffa49abf4a58a0721e7cb7", "msg": "54657374", "sig": { "r": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 2 }, "comment": "R: large x-coordinate (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 25, "publicKeyUncompressed": "04b864dc5273fb1a362c2dfec6c3c1efa3d0f9f922819ab211d2d27e78b463f3d3b848d9aa4d5809ba3eb5965f176e9648ae5940859ce9ea1a73c4fd7aad4514db", "publicKeyCompressed": "03b864dc5273fb1a362c2dfec6c3c1efa3d0f9f922819ab211d2d27e78b463f3d3", "msg": "54657374", "sig": { "r": "4319055358e8617b0c46353d039cdaac", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 2 }, "comment": "R: x-coordinate close to p (Could not recover R)", "valid": false, "flags": ["special_R"] }, { "tcId": 26, "publicKeyUncompressed": "04301e4933a35224dbaf59b0d4694221272b1c579a738983ef1116024ce767381b9fd7788b8dfb34887a245d1b1567e9bae500ec124916fc6c4d51185914e86bf1", "publicKeyCompressed": "03301e4933a35224dbaf59b0d4694221272b1c579a738983ef1116024ce767381b", "msg": "54657374", "sig": { "r": "4319055358e8617b0c46353d039cdaac", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 2 }, "comment": "R: x-coordinate close to p (Could not recover R)", "valid": false, "flags": ["special_R"] }, { "tcId": 27, "publicKeyUncompressed": "04eb030e764aca1c61707b5d4e3ee140ce6eeeccc41686c1674507fdc88ad46b558306c6340ccb33b511ed443a092b2ec0eb4a2150840ab0202d2666e3c32975a8", "publicKeyCompressed": "02eb030e764aca1c61707b5d4e3ee140ce6eeeccc41686c1674507fdc88ad46b55", "msg": "54657374", "sig": { "r": "7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 2 }, "comment": "R: x-coordinate < 2**255 (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 28, "publicKeyUncompressed": "042f63a94f417404f0dfb36f8816221d75425f563fe88f5c36229308fd131d325cd789b8c84be4f6ea4ecc17501d73f48c563e8475d3d19125652e9e2bbe946fbe", "publicKeyCompressed": "022f63a94f417404f0dfb36f8816221d75425f563fe88f5c36229308fd131d325c", "msg": "54657374", "sig": { "r": "7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 2 }, "comment": "R: x-coordinate < 2**255 (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 29, "publicKeyUncompressed": "0402e41326ee944eddb1223b13a36f2e71219ffc32563e7908abce4869f06c1996fc4f0c00c5a2e376d7f825ac3d2d04c122b40170f990908f2a80fa1be1615346", "publicKeyCompressed": "0202e41326ee944eddb1223b13a36f2e71219ffc32563e7908abce4869f06c1996", "msg": "54657374", "sig": { "r": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "s": "14f9d5b0aa8902335126115bf781e1fa75e276fbf231fc21655f4698c4f5dc4c", "id": 0 }, "comment": "R: x-coordinate < 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 30, "publicKeyUncompressed": "0408005306bb7b1e07d8e03f2707c39555e81d045cb3999cf6654ca73f87e625fac96934db1a8c03b9b8fe9e915487cb7ecaf8397df9f6cf2d6758839c8958fa94", "publicKeyCompressed": "0208005306bb7b1e07d8e03f2707c39555e81d045cb3999cf6654ca73f87e625fa", "msg": "54657374", "sig": { "r": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "s": "0088d6a41c104c10d426cdf01a24bd170b6b70c06b1feb19c1d3a2582361d9db20", "id": 0 }, "comment": "R: x-coordinate < 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 31, "publicKeyUncompressed": "04c2d2058aa78905fe7ad9756f261a0bbb33995a00b7e8c156bf32cfe0866a325d8572bc79b69859f7673f0e17e24acf436b354d08e2113ce2bb801a0db4abee77", "publicKeyCompressed": "03c2d2058aa78905fe7ad9756f261a0bbb33995a00b7e8c156bf32cfe0866a325d", "msg": "5465737420", "sig": { "r": "00ce72b7154350663c68acd3307dd00f4ec968a61a6d2c6896febf7b6f28caf76e", "s": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "id": 0 }, "comment": "u1 = 1", "valid": true, "flags": ["special_u12"] }, { "tcId": 32, "publicKeyUncompressed": "04c0c29be3e7fa6e3126c863ab95294451693f9ed61e989bd7dc263a4284c38ddfac1666bf8364a5e676c7cddb8f8267e427bd3beb119d77643dc24f7f1f71d164", "publicKeyCompressed": "02c0c29be3e7fa6e3126c863ab95294451693f9ed61e989bd7dc263a4284c38ddf", "msg": "5465737420", "sig": { "r": "2a7d4c90af879dd70fbeb52f8eed9e113515de81f6e6d0018968c3f10d41481b", "s": "2a7d4c90af879dd70fbeb52f8eed9e113515de81f6e6d0018968c3f10d41481b", "id": 0 }, "comment": "u2 = 1", "valid": true, "flags": ["special_u12"] }, { "tcId": 33, "publicKeyUncompressed": "045ff812f0cbf089b8ff494293a2a7b40b525dc81a4c7f91e7cc19de5bf512c76b3162d952c3f803e4d1ce8306b831659d9b5767a2070842cf966b4751737a0d73", "publicKeyCompressed": "035ff812f0cbf089b8ff494293a2a7b40b525dc81a4c7f91e7cc19de5bf512c76b", "msg": "5465737422", "sig": { "r": 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"comment": "u1 = u2 = n-5", "valid": true, "flags": ["special_u12"] }, { "tcId": 52, "publicKeyUncompressed": "042110470c2dcbefb34351bb344c49410faaa074b0dc996cefaa47086105dbf5baf4cc3aac1335a5ac904cea4cfd9c75cf713cdd8e33506073ad2b6ed3efe4a13e", "publicKeyCompressed": "022110470c2dcbefb34351bb344c49410faaa074b0dc996cefaa47086105dbf5ba", "msg": "5465737423", "sig": { "r": "30b9841818967851ab12a149d1f5df40a8f08661f950d1ce4c050fcecb8ef67a", "s": "137fe8e11fa9c953c99edba9a03219b9473efc53575de0bff6de8671029b6b10", "id": 0 }, "comment": "u1 = n-7", "valid": true, "flags": ["special_u12"] }, { "tcId": 53, "publicKeyUncompressed": "04cef7f64ed174219e3efd673aa1250c48e7ebf9ed15f9a4b049819ffd61c768d44af7b808044488beca8948213a12683ebb13b16eda942778f234a277a6a8fcba", "publicKeyCompressed": "02cef7f64ed174219e3efd673aa1250c48e7ebf9ed15f9a4b049819ffd61c768d4", "msg": "5465737420", "sig": { "r": "70489fc4fbcd5e50fcb2059e2502c6d134ba9296d20c249dbd555545b80b2da1", "s": 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"comment": "u2 = 2**255", "valid": true, "flags": ["special_u12"] }, { "tcId": 63, "publicKeyUncompressed": "04ea51360b1f79b9b03cb02b5121f10db553ed5430fa8bd048979da798babded890a635972631cac9133f3087f5917ef624a967d9af577a8f89675f65ce909f7b2", "publicKeyCompressed": "02ea51360b1f79b9b03cb02b5121f10db553ed5430fa8bd048979da798babded89", "msg": "5465737422", "sig": { "r": "5a8a266f7d8aee338538cac32177b3df76a83e7a36a5f5019bde5745252ffb44", "s": "008689666c3e6ccc008f3b3373e7e378e21131a06556356e04219dfbf59d11fd71", "id": 0 }, "comment": "u1 = u2 = 2**255", "valid": true, "flags": ["special_u12"] }, { "tcId": 64, "publicKeyUncompressed": "04d726ae868eb081f6f6211977593a956f86d6fc53545378136f8659030ad9019fcbf3f4de59bb12441e2eef7697398bdefdbb4fe45394447381bbe21f18998f81", "publicKeyCompressed": "03d726ae868eb081f6f6211977593a956f86d6fc53545378136f8659030ad9019f", "msg": "5465737420", "sig": { "r": "477886c1934feedeb2905e0da655d9d56e282299759273c82d83c9ee9f9d1699", "s": 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["special_AB"] }, { "tcId": 83, "publicKeyUncompressed": "0404f0395ea48159e41467933e3e99fcad06faf8ac75465bba114a1d5bbc3d60122e4db505d9acfdc04f9247e2be871b7f2391a4f4333cb7f83dfca487e4b39a74", "publicKeyCompressed": "0204f0395ea48159e41467933e3e99fcad06faf8ac75465bba114a1d5bbc3d6012", "msg": "5465737420", "sig": { "r": "7cf27b188d034f7e8a52380304b51ac3c08969e277f21b35a60b48fc47669978", "s": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "id": 1 }, "comment": "A = B: g", "valid": true, "flags": ["special_AB"] }, { "tcId": 84, "publicKeyUncompressed": "048dad6df7b81c84bfa3d8fa278bf9c4983b57ea38d6b9aeb925641725095fcd5e9efc667be97124419f58448da27c58d13841c08ba75f12ccfc641e29958ffd28", "publicKeyCompressed": "028dad6df7b81c84bfa3d8fa278bf9c4983b57ea38d6b9aeb925641725095fcd5e", "msg": "5465737420", "sig": { "r": "0985cf6e5a90f03e5488693dd74b2907845b5434df5593aeb9912345a7344bcb", "s": "77b93a89fba7d9a433342caeab7e5a5cf320350209a7c18cb0e2fd5b688f14bc", "id": 1 }, "comment": "B; g", "valid": true, "flags": ["special_AB"] }, { "tcId": 85, "publicKeyUncompressed": "04f33abfcd04c46d70666386390e29c6c01affde7ce760cad9995c0cd08c42d798dd8c1c1774582dce88d4f614eefe2ec0aea94af7a535f8c98f22ecaddbf3ae02", "publicKeyCompressed": "02f33abfcd04c46d70666386390e29c6c01affde7ce760cad9995c0cd08c42d798", "msg": "5465737420", "sig": { "r": "00b2509e6211892906ddf5c8433d39eae66fb59a6b6250d083e8e911db6f3747f2", "s": "11527d09b80a7127a37c56084968a784b1158571d49105445d4ae4c81448f980", "id": 0 }, "comment": "A: -g", "valid": true, "flags": ["special_AB"] }, { "tcId": 86, "publicKeyUncompressed": "0404f0395ea48159e41467933e3e99fcad06faf8ac75465bba114a1d5bbc3d60122e4db505d9acfdc04f9247e2be871b7f2391a4f4333cb7f83dfca487e4b39a74", "publicKeyCompressed": "0204f0395ea48159e41467933e3e99fcad06faf8ac75465bba114a1d5bbc3d6012", "msg": "5465737420", "sig": { "r": "7cf27b188d034f7e8a52380304b51ac3c08969e277f21b35a60b48fc47669978", "s": "11527d09b80a7127a37c56084968a784b1158571d49105445d4ae4c81448f980", "id": 0 }, "comment": "A = B: -g", "valid": true, "flags": ["special_AB"] }, { "tcId": 87, "publicKeyUncompressed": "04f73e577649f69c6268fc8e42b0249ca2c89b08b1a60a1c22acb7c8b666f108d72c7c99a1c4176d40fab3b17d49f84f83a3ba25cf596e043af802fc59c5db6704", "publicKeyCompressed": "02f73e577649f69c6268fc8e42b0249ca2c89b08b1a60a1c22acb7c8b666f108d7", "msg": "5465737420", "sig": { "r": "00dddd63df54915edab89d853669776af1210f3ae694c8a9dc8ef20a688c3edf86", "s": "77b93a89fba7d9a433342caeab7e5a5cf320350209a7c18cb0e2fd5b688f14bc", "id": 1 }, "comment": "B; -g", "valid": true, "flags": ["special_AB"] }, { "tcId": 88, "publicKeyUncompressed": "04982c472667bbeca5c68d6b06a8cd96b64eb8dbb03a6aa5b011f9f0233a5075dd7aa439fe9f82421e2c4a0754471fe165e0b46b549044e9bcd6b91be40d7cb7ff", "publicKeyCompressed": "03982c472667bbeca5c68d6b06a8cd96b64eb8dbb03a6aa5b011f9f0233a5075dd", "msg": "5465737420", "sig": { "r": "6d83b811d0272c3185731bcccb73840f714f19d2c60393ef9b2f7c2aaba0a50d", "s": "00f756c17a23fac76d2e41d4fbdb4bac3d645c37f4bccf1be2c514585ef23ea891", "id": 0 }, "comment": "A: 2*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 89, "publicKeyUncompressed": "047c75c7b5a6fb35c13015cf98ca42050fb0884d7eb986e0f0db2922c06b02d7e2534b01ce3f58232ed7381ee7d4307acfd82a3d6f40207d37478e3b2696bce87d", "publicKeyCompressed": "037c75c7b5a6fb35c13015cf98ca42050fb0884d7eb986e0f0db2922c06b02d7e2", "msg": "5465737420", "sig": { "r": "00e2534a3532d08fbba02dde659ee62bd0031fe2db785596ef509302446b030852", "s": "00f756c17a23fac76d2e41d4fbdb4bac3d645c37f4bccf1be2c514585ef23ea891", "id": 0 }, "comment": "A = B: 2*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 90, "publicKeyUncompressed": "042b6fb48848fed520c192929bee5da69962decc1c33661417e72c02e004c0931258d9ed0f8cb6e431cb293686b8eb7f15ead3a8e1347540487c9d5863757b358f", "publicKeyCompressed": "032b6fb48848fed520c192929bee5da69962decc1c33661417e72c02e004c09312", "msg": "5465737420", "sig": { "r": "00953c08269f92f17ab80478c2beea2cde894869e1e349c1e32462effeda72a6b6", "s": "77b93a89fba7d9a433342caeab7e5a5cf320350209a7c18cb0e2fd5b688f14bc", "id": 0 }, "comment": "B; 2*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 91, "publicKeyUncompressed": "0484fff67362913b71beb3deb0bc88b560d194328f326b13bfaf2f4ff5acdc1683e3466a8d33c307124ab9f37882ba72d90243ed3fcc88d2b60c825b1ae0e9fda0", "publicKeyCompressed": "0284fff67362913b71beb3deb0bc88b560d194328f326b13bfaf2f4ff5acdc1683", "msg": "5465737420", "sig": { "r": "77bc3055fa00efc35c2fb17316bcaa23fd5ad6f2f052b7721183d4094eee8699", "s": "00fbab60bc91fd63b71720ea7deda5d61e90a1995131f35d33dc671190f750e6f1", "id": 0 }, "comment": "A: 4*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 92, "publicKeyUncompressed": "04ec576f26d876df379dbf01522b99847b44d3321f407576314522cd1ee42e678020f98c7fa012cbbc8399670add2f08ec034c8c1808852b3bf4204690c0db23d5", "publicKeyCompressed": "03ec576f26d876df379dbf01522b99847b44d3321f407576314522cd1ee42e6780", "msg": "5465737420", "sig": { "r": "62d9779dbee9b0534042742d3ab54cadc1d238980fce97dbb4dd9dc1db6fb393", "s": "00fbab60bc91fd63b71720ea7deda5d61e90a1995131f35d33dc671190f750e6f1", "id": 0 }, "comment": "A = B: 4*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 93, "publicKeyUncompressed": "0480e7f7258b0e45f04469980dbef55353b28b773799063307f96ee72335bc59ea24c3ad65795dfcd61bd6210db34392963917345239100fc6d039b07ed1a305bc", "publicKeyCompressed": "0280e7f7258b0e45f04469980dbef55353b28b773799063307f96ee72335bc59ea", "msg": "5465737420", "sig": { "r": "64d15bdda3c85c6baffc72871949d9633ee5f4555688beac9b33d60242405eea", "s": "77b93a89fba7d9a433342caeab7e5a5cf320350209a7c18cb0e2fd5b688f14bc", "id": 1 }, "comment": "B; 4*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 94, "publicKeyUncompressed": "04031e495c5e39bda5bc1b2a4f5b66efea83b581628a442c0f41538f84e62afd4b3e1a0e77dcca249f21c1422b3861adc01e19e9ae8b5cb3ed3bdb1b6b9b53641a", "publicKeyCompressed": "02031e495c5e39bda5bc1b2a4f5b66efea83b581628a442c0f41538f84e62afd4b", "msg": "5465737420", "sig": { "r": "00ed7a264a8502592ea677623a6ac8e751611a528b104950d8b5f5df6a44e035bb", "s": "22a4fa137014e24f46f8ac1092d14f09622b0ae3a9220a88ba95c9902891f300", "id": 1 }, "comment": "A: g*(n-1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 95, "publicKeyUncompressed": "047fbf4a4edd2dda34cca3c3a2410ce1b5028faf2c758dff3ae887496d8c0e5d688b046d14da3a9bcc01c9b7029a3fe7c1244e09f982df85c249c49d38916f5b43", "publicKeyCompressed": "037fbf4a4edd2dda34cca3c3a2410ce1b5028faf2c758dff3ae887496d8c0e5d68", "msg": "5465737420", "sig": { "r": "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", "s": "22a4fa137014e24f46f8ac1092d14f09622b0ae3a9220a88ba95c9902891f300", "id": 0 }, "comment": "A = B: g*(n-1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 96, "publicKeyUncompressed": "04b01af7be1fd695c926d37baef448963b4ec07b8cca47206bb204b85e159cbbf7f4a336037728dbe85ed41b247307f80857f26e5759c2a41af93af0ee7f228856", "publicKeyCompressed": "02b01af7be1fd695c926d37baef448963b4ec07b8cca47206bb204b85e159cbbf7", "msg": "5465737420", "sig": { "r": "52cdd8d0c6fe33cbd7fd39b2afa4a4163cd8d32b4c4a4d3fb5aedeff7c89845c", "s": "77b93a89fba7d9a433342caeab7e5a5cf320350209a7c18cb0e2fd5b688f14bc", "id": 1 }, "comment": "B; g*(n-1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 97, "publicKeyUncompressed": "04121bcf2bfb364a9d9c61feea715490531c734a1f425ef1abd45c6b6234dd20b38468f22e9e2cd3d7942fd1ca8e77e5a7d907e3919852eefdd29fdbd14e85666e", "publicKeyCompressed": "02121bcf2bfb364a9d9c61feea715490531c734a1f425ef1abd45c6b6234dd20b3", "msg": "5465737420", "sig": { "r": "1096696c9b44f12e2fa18b98fd4f05250643d0a9a7e5ba5267fdbee78b93b597", "s": "00dd5b05eb8feb1db1b90753ef6d2eb0f65abbefc9fdf593fc39240132d3d13251", "id": 0 }, "comment": "A: g*(n+1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 98, "publicKeyUncompressed": "047fbf4a4edd2dda34cca3c3a2410ce1b5028faf2c758dff3ae887496d8c0e5d688b046d14da3a9bcc01c9b7029a3fe7c1244e09f982df85c249c49d38916f5b43", "publicKeyCompressed": "037fbf4a4edd2dda34cca3c3a2410ce1b5028faf2c758dff3ae887496d8c0e5d68", "msg": "5465737420", "sig": { "r": "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", "s": "00dd5b05eb8feb1db1b90753ef6d2eb0f65abbefc9fdf593fc39240132d3d13251", "id": 1 }, "comment": "A = B: g*(n+1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 99, "publicKeyUncompressed": "0472fe385eff01bb0746847f86fdb2c238a7b10bbb49f9c93feeb5312b41bef9bb6ab7d8fcbb4b5b9ec289bd7e1859bb748e5386fb20b0fc24ecc6b2408e46fcfa", "publicKeyCompressed": "0272fe385eff01bb0746847f86fdb2c238a7b10bbb49f9c93feeb5312b41bef9bb", "msg": "5465737420", "sig": { "r": "40bfe5cad72e741c7ab53bc449bea32f9b9cbb49fd864ac694e91c6e758f63e1", "s": "77b93a89fba7d9a433342caeab7e5a5cf320350209a7c18cb0e2fd5b688f14bc", "id": 1 }, "comment": "B; g*(n+1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 100, "publicKeyUncompressed": "04a99a0e7399ca1d7d4017233571381d1d6e13b1075fdcd538ea98df9f62bf9b5acf75c7dad906464ff55b214928a382fae56c5acd6bea2bb17bc416062fad321a", "publicKeyCompressed": "02a99a0e7399ca1d7d4017233571381d1d6e13b1075fdcd538ea98df9f62bf9b5a", "msg": "54657374", "sig": { "r": "61c1d7309f79d427e19f7d0df4a86da27a66132cbc68f9994f53d94fd18a8f87", "s": "00839603a42b9f57947b1a6bc9a36c112ca6977ac6b6d217b1f6dcae4c5aef9ae5", "id": 0 }, "comment": "point at infinity during verify (invalid signature)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 101, "publicKeyUncompressed": "04311641197a36d7b4592ac22cfa88e4d0921b5e396c5fa8fc1cad922925133bf95d7590e835d33dd16ea42c5f03b0257eeed3443fd942498af7bd5453dbd449b7", "publicKeyCompressed": "03311641197a36d7b4592ac22cfa88e4d0921b5e396c5fa8fc1cad922925133bf9", "msg": "54657374", "sig": { "r": "7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", "s": "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 102, "publicKeyUncompressed": "04554efa11c5b704a41bff093a68bee858b74a1cf621b2fadfdee54681193ae3c7f3bc958bda487b650f0e5ef4991953cf628edf744d8920527845928ca05d519c", "publicKeyCompressed": "02554efa11c5b704a41bff093a68bee858b74a1cf621b2fadfdee54681193ae3c7", "msg": "54657374", "sig": { "r": "00ffffffff00000000000000004319055258e8617b0c46353d039cdaac", "s": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 103, "publicKeyUncompressed": "04e16cf316cae74dc2e7e81d5228e2e68ceec3a7c498304a95214943683650a36a24e94b9798da6657a705b19af97eab9026a383cdfc7be603c259630be8b3f3ad", "publicKeyCompressed": "03e16cf316cae74dc2e7e81d5228e2e68ceec3a7c498304a95214943683650a36a", "msg": "54657374", "sig": { "r": "00ffffffff00000000000000004319055258e8617b0c46353d039cdaaf", "s": "010000000000000000000000000000000000000000000000000000000000000000", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 104, "publicKeyUncompressed": "0445a318af55d481c4e6a7ef104c9579b8044a0636d3687713d7a9eeaf6ed69bd7de4efe2f6d0fc8ac63fbf62672d865da35c8e961e9212f50ba0cfaa11812e89d", "publicKeyCompressed": "0345a318af55d481c4e6a7ef104c9579b8044a0636d3687713d7a9eeaf6ed69bd7", "msg": "54657374", "sig": { "r": "05", "s": "01", "id": 0 }, "comment": "point at infinity during verify (invalid signature)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 105, "publicKeyUncompressed": "04f0479f65d30010fbe350f61420c9bbc3b02676f1a0e616ea65353404b6f5db9893636fe97bfcd1d72e221f541568cdbb6004e81f6decfb2f8446712edd528c85", "publicKeyCompressed": "03f0479f65d30010fbe350f61420c9bbc3b02676f1a0e616ea65353404b6f5db98", "msg": "54657374", "sig": { "r": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc63254f", "s": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632550", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 106, "publicKeyUncompressed": "04f65cfbd616cd929d86306118d50084493ab96f388871f720f5b8d857dfaae581059e5213e90da92251c07fa286c2a2723101c29097bad86a3820d96bebc03baa", "publicKeyCompressed": "02f65cfbd616cd929d86306118d50084493ab96f388871f720f5b8d857dfaae581", "msg": "54657374", "sig": { "r": "2042a0b0ee3263284e3d1a0fb131d16d6a6a14f2cf35430027ed822791b9ba83", "s": "00ffffffff3819c29161219a96f640bbab98477168beb0d5b84f50821e66bbfb03", "id": 0 }, "comment": "s too large (s not in range)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 107, "publicKeyUncompressed": "04104d9f6a73b38b72aa260767a61f27ad42d3a6bc1d096d411aa0e8f2826ba02f3c23a5c9eeb742187c0c6e8a06673b0b01d8241d9ef8c5052210b931649c0ccb", "publicKeyCompressed": "03104d9f6a73b38b72aa260767a61f27ad42d3a6bc1d096d411aa0e8f2826ba02f", "msg": "54657374", "sig": { "r": "2042a0b0ee3263284e3d1a0fb131d16d6a6a14f2cf35430027ed822791b9ba83", "s": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632552", "id": 0 }, "comment": "s = n+1 (s not in range)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 108, "publicKeyUncompressed": "048d347ca6837d5fe368ffcd565523afd34a58e77373ee91e5517a0121ea2eaa72c04c280ac42691e5ba05c18c7940804c48cf20f083039a8bd694a03fcd4c8d93", "publicKeyCompressed": "038d347ca6837d5fe368ffcd565523afd34a58e77373ee91e5517a0121ea2eaa72", "msg": "54657374", "sig": { "r": "00ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632556", "s": "783e27b1db66d4f1a115a611bdb91e5f8af5312a5fce5fd23b5ff29680bc1391", "id": 0 }, "comment": "r = n+{Rlow[0]} (Could not recover R)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 109, "publicKeyUncompressed": "04b6a7d5f2546e772b87f086146a7c23982d458ff5b4eb7997bc65dfaf7ecf1929ded5ca88daaad96773fb880aa784448cbf262f267193c385489e5d9b3b68293e", "publicKeyCompressed": "02b6a7d5f2546e772b87f086146a7c23982d458ff5b4eb7997bc65dfaf7ecf1929", "msg": "54657374", "sig": { "r": "2042a0b0ee3263284e3d1a0fb131d16d6a6a14f2cf35430027ed822791b9ba83", "s": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "id": 0 }, "comment": "s = 2**256-1 (s not in range)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 110, "publicKeyUncompressed": "04cf296889966b477c7a3c69db76145525780f2816ae4c32ff1f4d66987ebd4f44c5c55f5050337521fd7f2d2bb4a093785b5e35995d8afbd2588acda0247d36ff", "publicKeyCompressed": "03cf296889966b477c7a3c69db76145525780f2816ae4c32ff1f4d66987ebd4f44", "msg": "68656c6c6f", "sig": { "r": "0081bfb55b010b1bdf08b8d9d8590087aa278e28febff3b05632eeff09011c5579", "s": "6eea692963f0478703dc1dbfffbf68c8037bead20a17cc5e725be35964121736", "id": 0 }, "comment": "R: x2=0 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 111, "publicKeyUncompressed": "045baa516db161001497d57cc7f9d832ac24764eae2b52100ee38bab25952297a42516f984949df3bcd6166a1fd77b6eda4669d58d2f0c84e04a6296486d67d1b2", "publicKeyCompressed": "025baa516db161001497d57cc7f9d832ac24764eae2b52100ee38bab25952297a4", "msg": "68656c6c6f", "sig": { "r": "00e3f4bd402343936c2bff08e7430a86ad85b72bedf0ec53f385093a7e1c55d096", "s": "00a2077c5299ad49b45c113c8d7a91ec9ba90df5d491b4773a4937e914d11b23a5", "id": 0 }, "comment": "R: y2=-3 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 112, 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