{ "testType": "EcdsaVerify", "algorithm": { "type": "Ecdsa", "curve": "secp256k1", "sha": "KECCAK256", "encoding": "RAW", "normalize": false, "signature_generation": "Generic" }, "version": "0.34", "description": [ "The underlying elliptic curve is secp256k1", "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": 263, "tests": [ { "tcId": 1, "publicKeyUncompressed": "04b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9adf899afc706e9bfd9a223880cbe46c9be41527a0a97e0077acfa46bd1c26323", "publicKeyCompressed": "03b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9", "msg": "", "sig": { "r": "00ba901caf8ed8e4d6a9295b0587c4b3830498be6f1c77b5d04c58187465406831", "s": "008c6b8926db78f685230fdd63bd86236f008473295e815bcea485c6251956733f", "id": 1 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 2, "publicKeyUncompressed": "04b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9adf899afc706e9bfd9a223880cbe46c9be41527a0a97e0077acfa46bd1c26323", "publicKeyCompressed": "03b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9", "msg": "000102030405060708090a0b0c0d0e0f", "sig": { "r": "00806884177f215d3aeeb24a0ecaaa828117c6ef0a86d3eb970e458c796564a26f", "s": "5ed8a655709fb2985f12fe88eedca699ee81a60f806b3a2e077314c927be630f", "id": 0 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 3, "publicKeyUncompressed": "04b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9adf899afc706e9bfd9a223880cbe46c9be41527a0a97e0077acfa46bd1c26323", "publicKeyCompressed": "03b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9", "msg": "616263", "sig": { "r": "4fb20f8a125a35c846fd90f23fac3236e05e2924c6ede08f8b6140955dbb1923", "s": "009b1b6ece17b39a530f04537866fd2e37c549fcd58911be1b33f23ecdeca9eba0", "id": 1 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 4, "publicKeyUncompressed": "04b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9adf899afc706e9bfd9a223880cbe46c9be41527a0a97e0077acfa46bd1c26323", "publicKeyCompressed": "03b50c4fb1d56b3807bafb89c3a296a81d3f71ee2237d4889de42ef71d7047aaa9", "msg": "54657374", "sig": { "r": "00c762e324914f265790b02b40bb723713e22300841047ac273ba984ea36994059", "s": "00fc1cb322f29b6a4fa2eb5d0e7cb7591965f0420e330e97761c1c84c27a1e6aac", "id": 0 }, "comment": "normal", "valid": true, "flags": ["normal"] }, { "tcId": 5, "publicKeyUncompressed": "048c421248365bd989965833232d08fc1dcf66d2159b046e1452059a68862d37c11aa4a230fa89d2700207681a3a1d68548322d41e6bb90f14fc5da9e97716ac87", "publicKeyCompressed": "038c421248365bd989965833232d08fc1dcf66d2159b046e1452059a68862d37c1", "msg": "54657374", "sig": { "r": "01", "s": "01", "id": 0 }, "comment": "r=1, s=1", "valid": true, "flags": ["special_rs"] }, { "tcId": 6, "publicKeyUncompressed": "04ca1338725271e913775f5898a320e0881d3638d7e9e25716e9909017c5698761419d874fba56e48512e44ff98a44b68b25b9e9aa81468bbc249fdddf5a5d2db9", "publicKeyCompressed": "03ca1338725271e913775f5898a320e0881d3638d7e9e25716e9909017c5698761", "msg": "54657374", "sig": { "r": "02", "s": "02", "id": 0 }, "comment": "r=2, s=2", "valid": true, "flags": ["special_rs"] }, { "tcId": 7, "publicKeyUncompressed": "0478510452a27b6286e57a4502d27d6715372e194295c7fd39bd6ea3f79264876be28ed416c22e56f1142bfd4cd0703cc3eaadd561969e3df1812468d2f8d2ca18", "publicKeyCompressed": "0278510452a27b6286e57a4502d27d6715372e194295c7fd39bd6ea3f79264876b", "msg": "54657374", "sig": { "r": "03", "s": "03", "id": 0 }, "comment": "r=3, s=3", "valid": true, "flags": ["special_rs"] }, { "tcId": 8, "publicKeyUncompressed": "04f64d29dfd8f874579262d8817ea0d588ce88bd7dd7a70d6ed653cade6f010c73ab332d24a78c93ed36a8f9a52c434379984eb87db21c843c3893fecdabce8675", "publicKeyCompressed": "03f64d29dfd8f874579262d8817ea0d588ce88bd7dd7a70d6ed653cade6f010c73", "msg": "54657374", "sig": { "r": "04", "s": "04", "id": 0 }, "comment": "r=4, s=4", "valid": true, "flags": ["special_rs"] }, { "tcId": 9, "publicKeyUncompressed": "048b6a871f74b41c38b345bc1434c1096e9de1947471056b1e816a3bb7bd8cf2d1f03b3fe6cfa6462012e93d29ff4b94ca95f4acd82a356ccf07da15fb3f779422", "publicKeyCompressed": "028b6a871f74b41c38b345bc1434c1096e9de1947471056b1e816a3bb7bd8cf2d1", "msg": "54657374", "sig": { "r": "06", "s": "06", "id": 0 }, "comment": "r=6, s=6", "valid": true, "flags": ["special_rs"] }, { "tcId": 10, "publicKeyUncompressed": "0450cbc5fb1ed7753c84cbd49ddeb684ec3800e055d622371c79e89887d8d5348215108d29029ba167e48082e0181d86157340c7b7901096abd251f656cd3cd68d", "publicKeyCompressed": "0350cbc5fb1ed7753c84cbd49ddeb684ec3800e055d622371c79e89887d8d53482", "msg": "54657374", "sig": { "r": "08", "s": "08", "id": 0 }, "comment": "r=8, s=8", "valid": true, "flags": ["special_rs"] }, { "tcId": 11, "publicKeyUncompressed": "04158f0c3fe591f88831082d4c6d4c7e8e78688ea3705f2d87da86c4ea3ac9dc8fecfc6b87e624cd7378bb7e3db7d73a358dbdbdb8563d50f11df25598cd946a9f", "publicKeyCompressed": "03158f0c3fe591f88831082d4c6d4c7e8e78688ea3705f2d87da86c4ea3ac9dc8f", "msg": "54657374", "sig": { "r": "7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0", "s": "7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0", "id": 0 }, "comment": "r=(n-1)/2), s=(n-1)/2)", "valid": true, "flags": ["special_rs"] }, { "tcId": 12, "publicKeyUncompressed": "0414b7ba1466d05d6245ae4593d5029f176035f68f4e3e064c2c055b6344a17a9c75e8149fe716c3cb7510c4d2dbe7645258996ca2dcb3bc3d89f35578152557f0", "publicKeyCompressed": "0214b7ba1466d05d6245ae4593d5029f176035f68f4e3e064c2c055b6344a17a9c", "msg": "54657374", "sig": { "r": "7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a1", "s": "7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a1", "id": 0 }, "comment": "r=(n+1)/2, s=(n+1)/2", "valid": true, "flags": ["special_rs"] }, { "tcId": 13, "publicKeyUncompressed": "046ec4c23be2daa943b64056acfb1043979af6731fd39e9d4113f38ebc1bb49583cf1d3cc719252a88e2ce14c7ef395cec21bb0bd9c9d306d39a0a75cb19732b53", "publicKeyCompressed": "036ec4c23be2daa943b64056acfb1043979af6731fd39e9d4113f38ebc1bb49583", "msg": "54657374", "sig": { "r": "7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a2", "s": "7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a2", "id": 0 }, "comment": "r=(n+3)/2, s=(n+3)/2", "valid": true, "flags": ["special_rs"] }, { "tcId": 14, "publicKeyUncompressed": "04a9d4125ccd74f4c63fe2968c03aa139f543a196a671d8d0f13a0e9767f660583fd33fb0b0be30e725c4667c7135355f5067362b1b8e78a7b5b6a3d4cf34def5b", "publicKeyCompressed": "03a9d4125ccd74f4c63fe2968c03aa139f543a196a671d8d0f13a0e9767f660583", "msg": "54657374", "sig": { "r": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413f", "s": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413f", "id": 0 }, "comment": "r=n-2, s=n-2", "valid": true, "flags": ["special_rs"] }, { "tcId": 15, "publicKeyUncompressed": "043f8c0d6ce23e906dfca1957edaa026a5b7ba0b1114f6115daf5072dee3ea0792cbf45d36e32501c43659c218090c3bf3782eae3567d2d9509570b8072a755322", "publicKeyCompressed": "023f8c0d6ce23e906dfca1957edaa026a5b7ba0b1114f6115daf5072dee3ea0792", "msg": "54657374", "sig": { "r": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413e", "s": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413e", "id": 0 }, "comment": "r=n-3, s=n-3", "valid": true, "flags": ["special_rs"] }, { "tcId": 16, "publicKeyUncompressed": "04df9fecaf83ce88b2822826d6490616b74ad0bb17659378f00a715be5e23a4da6140c6f280e0faeaa6e08cc88becf096639730b6b30e0f17eb3a57bccfd127b61", "publicKeyCompressed": "03df9fecaf83ce88b2822826d6490616b74ad0bb17659378f00a715be5e23a4da6", "msg": "54657374", "sig": { "r": "008000000000000000000000000000000000000000000000000000000000000000", "s": "008000000000000000000000000000000000000000000000000000000000000000", "id": 0 }, "comment": "r=2**255, s=2**255", "valid": true, "flags": ["special_rs"] }, { "tcId": 17, "publicKeyUncompressed": "042404620b2a08c7bac51d3940d0a6d8bf250c50ff7cb9f2670c2d007011726e2cb713937a1d8249a87d1dc3542021c3f711ae1ca7b00ece5f67646ceacc0cdffb", "publicKeyCompressed": "032404620b2a08c7bac51d3940d0a6d8bf250c50ff7cb9f2670c2d007011726e2c", "msg": "54657374", "sig": { "r": "03", "s": "66666666666666666666666666666665e445f1f5dfb6a67e4cba8c385348e6e7", "id": 0 }, "comment": "r and s^-1 very small", "valid": true, "flags": ["special_rs"] }, { "tcId": 18, "publicKeyUncompressed": "0410d8cbcb862a2c2fcc6e7f4212bfbdfeb49e9982197ccdb764c0d5866d23b0084954b58ea4fbb823efbfee39c529319fa0212c682e9b45dd2f60601aa1d233eb", "publicKeyCompressed": "0310d8cbcb862a2c2fcc6e7f4212bfbdfeb49e9982197ccdb764c0d5866d23b008", "msg": "54657374", "sig": { "r": "7b", "s": "00de9bd37a6f4de9bd37a6f4de9bd37a6e33075be9fc98324a377f471645bfdfb3", "id": 0 }, "comment": "r and s^-1 small", "valid": true, "flags": ["special_rs"] }, { "tcId": 19, "publicKeyUncompressed": "0407b3f058ee9cbe9c03e0acbbae315411ac888e9b38385b02f5fb524be224c2e0cedb49f676c7204bd18724150b5ce56d4a184091d188f49c86945a0724bedf69", "publicKeyCompressed": "0307b3f058ee9cbe9c03e0acbbae315411ac888e9b38385b02f5fb524be224c2e0", "msg": "54657374", "sig": { "r": "24f22125", "s": "33720cedbf35ef7a26dabb594ecf3a81d53b83daa08c4f8b33095cab67debdd4", "id": 0 }, "comment": "r and s^-1 are 32 bit integers", "valid": true, "flags": ["special_rs"] }, { "tcId": 20, "publicKeyUncompressed": "04ea1c82bd1eb2b11fbc284fbe825746a3486afec75ec0d9527004f4ae58aa78ad3e65539f37b4d7b09dd343fa792f8cdfc7cfb0a83695bd4409f1e7ac44ee4ba2", "publicKeyCompressed": "02ea1c82bd1eb2b11fbc284fbe825746a3486afec75ec0d9527004f4ae58aa78ad", "msg": "54657374", "sig": { "r": "00fffffffd", "s": "00e3a8af7ae3a8af7ae3a8af7ae3a8af79c25b611dc782c69e17f5671d39e17805", "id": 0 }, "comment": "r and s^-1 are edge case 32-bit integers", "valid": true, "flags": ["special_rs"] }, { "tcId": 21, "publicKeyUncompressed": "0468cc9b818c89679508ceb92ab6a4a9ad29431aa5794b2ebbe5607a0ef40303496937ec727781abfc7cdd399f8bb0d4adfd2e75152dea9038e4c51da431c5d386", "publicKeyCompressed": "0268cc9b818c89679508ceb92ab6a4a9ad29431aa5794b2ebbe5607a0ef4030349", "msg": "54657374", "sig": { "r": "00fffffffffffffffd", "s": "45c87dc69de031b445c87dc69de031b3ed1ad8185bd38af4bd79e65f417cad4b", "id": 0 }, "comment": "r and s^-1 are edge case 64-bit integers", "valid": true, "flags": ["special_rs"] }, { "tcId": 22, "publicKeyUncompressed": "0448db3f7119bf5c3730155c6bc4f68cef33c905e7fc27e3ecd8d76e2e90365e72194f1505784bcdb83ad56ff63a413c83dd7db5f7794a3bbd133819b65ada79b3", "publicKeyCompressed": "0348db3f7119bf5c3730155c6bc4f68cef33c905e7fc27e3ecd8d76e2e90365e72", "msg": "54657374", "sig": { "r": "008000000000000000000000000000000000000000000000000000000000000000", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 0 }, "comment": "R: x-coordinate >= 2**255", "valid": true, "flags": ["special_R"] }, { "tcId": 23, "publicKeyUncompressed": "04b04b1cf0b0eb796620d4af685db8b51602212aa50df15a5beb63b9ea338c97b6b4a0e6162bdb1abc19edbd1a7e5068f2345f76eff2075287e9c21a9e3a2896bb", "publicKeyCompressed": "03b04b1cf0b0eb796620d4af685db8b51602212aa50df15a5beb63b9ea338c97b6", "msg": "54657374", "sig": { "r": "008000000000000000000000000000000000000000000000000000000000000000", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 0 }, "comment": "R: x-coordinate >= 2**255", "valid": true, "flags": ["special_R"] }, { "tcId": 24, "publicKeyUncompressed": "0446ccf952acf1cbbda669a4978c2ff1a59b9a52904366dcaceb94d5fe8cc2b79fe2bdb86e11133349d0d5e1971e3dd5104cf821b04f7b7513cdd2265e5e75402a", "publicKeyCompressed": "0246ccf952acf1cbbda669a4978c2ff1a59b9a52904366dcaceb94d5fe8cc2b79f", "msg": "54657374", "sig": { "r": "0100000000000000000000000000000000000000000000000000000000000001", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 0 }, "comment": "R: x-coordinate >= 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 25, "publicKeyUncompressed": "045904309b4018f4fa9e19d433bd41fb01c35b3362689915f129153a24cf198a64dd0b14edb7b065a5f5557bc7350329adb837ffb81d331420110680f724875c4a", "publicKeyCompressed": "025904309b4018f4fa9e19d433bd41fb01c35b3362689915f129153a24cf198a64", "msg": "54657374", "sig": { "r": "0100000000000000000000000000000000000000000000000000000000000001", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 0 }, "comment": "R: x-coordinate >= 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 26, "publicKeyUncompressed": "04fd4de5b443ce19afe9046c2abd668a7a4cf880d051025fdb5118149bcbd15ca9cb60f4e0489342efe07519be25cbe2eb6eee4450f40d9c9538307b22ca64d63c", "publicKeyCompressed": "02fd4de5b443ce19afe9046c2abd668a7a4cf880d051025fdb5118149bcbd15ca9", "msg": "54657374", "sig": { "r": "01", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 0 }, "comment": "R: small x coordinate", "valid": true, "flags": ["special_R"] }, { "tcId": 27, "publicKeyUncompressed": "04f09d29a5ba5ce675158875da3814c9fdff970982155301b6d0039410c10319f7a63e6941f26e9680ce5bf24c8387fd314a509dfdc396787ffa9e3e83283b9ec8", "publicKeyCompressed": "02f09d29a5ba5ce675158875da3814c9fdff970982155301b6d0039410c10319f7", "msg": "54657374", "sig": { "r": "01", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 0 }, "comment": "R: small x coordinate", "valid": true, "flags": ["special_R"] }, { "tcId": 28, "publicKeyUncompressed": "0445cbcff8e30039bac5af578516640cb422a107816e09a66a94b56f400a5b6a5330525ec9b302dd99b1d053dd83477e479e271be1555481471d5c264c911f3ce0", "publicKeyCompressed": "0245cbcff8e30039bac5af578516640cb422a107816e09a66a94b56f400a5b6a53", "msg": "54657374", "sig": { "r": "0081", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 0 }, "comment": "R: small x coordinate", "valid": true, "flags": ["special_R"] }, { "tcId": 29, "publicKeyUncompressed": "046dc9581d5ce3a871eb721d4ff8f8852502d4b6ff4042564694460de1938c51a5634f68738e118c707ef830d7736efcec8fd33eaa12333e80e2a12d0574a6066e", "publicKeyCompressed": "026dc9581d5ce3a871eb721d4ff8f8852502d4b6ff4042564694460de1938c51a5", "msg": "54657374", "sig": { "r": "0081", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 0 }, "comment": "R: small x coordinate", "valid": true, "flags": ["special_R"] }, { "tcId": 30, "publicKeyUncompressed": "0446dfa06289b739d323b07af6562dadcb36f56ed773684b8fee5d2e3e6b3666ca8706479f53894bd452c139e73b6b5368823a0b2ccceade76c0221ef5f480defc", "publicKeyCompressed": "0246dfa06289b739d323b07af6562dadcb36f56ed773684b8fee5d2e3e6b3666ca", "msg": "54657374", "sig": { "r": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413d", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 2 }, "comment": "R: large x-coordinate (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 31, "publicKeyUncompressed": "04cb39f529d8c60a564e79666bfde3a63631bd361d5ad487dcbf878b72b01f511f47958ce8177de1c8e62a12728a4cc5400199bf8d8e964eada549c2cab3ec205f", "publicKeyCompressed": "03cb39f529d8c60a564e79666bfde3a63631bd361d5ad487dcbf878b72b01f511f", "msg": "54657374", "sig": { "r": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd036413d", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 2 }, "comment": "R: large x-coordinate (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 32, "publicKeyUncompressed": "0489da9dca6dae46ee9857cd65ef25560ab707a87666eabeb2bd503135e84ff2a21f2015cb99b8276ced9fb6f627946e5fc7382cefcdd9856d5791bc6421eb9cb6", "publicKeyCompressed": "0289da9dca6dae46ee9857cd65ef25560ab707a87666eabeb2bd503135e84ff2a2", "msg": "54657374", "sig": { "r": "014551231950b75fc4402da1722fc9baec", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 2 }, "comment": "R: x-coordinate close to p (Could not recover R)", "valid": false, "flags": ["special_R"] }, { "tcId": 33, "publicKeyUncompressed": "045af73d9320ff7a36c8344c30832cb18d36a452e4d9ced9a6f2b55549e4a763a0db97bd1aa8cc335625389c421ef7def9762b14e85e2b15d90725c7580386edfa", "publicKeyCompressed": "025af73d9320ff7a36c8344c30832cb18d36a452e4d9ced9a6f2b55549e4a763a0", "msg": "54657374", "sig": { "r": "014551231950b75fc4402da1722fc9baec", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 2 }, "comment": "R: x-coordinate close to p (Could not recover R)", "valid": false, "flags": ["special_R"] }, { "tcId": 34, "publicKeyUncompressed": "04aed424fb756b24216ec287784ee0579119853338da510d748f60c3e5617f5f7095d5f872eddbf10981caf6e6f781c448ae527ecb31f15606b89761cfdae475c8", "publicKeyCompressed": "02aed424fb756b24216ec287784ee0579119853338da510d748f60c3e5617f5f70", "msg": "54657374", "sig": { "r": "7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 2 }, "comment": "R: x-coordinate < 2**255 (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 35, "publicKeyUncompressed": "04ec4246c98458876eefccde96e71a020050a187493794c27c6c32a0261005b17d6e3232f0e952bfcf7e408e5bd2004b68f0de422d60e5b730c920bd89e48c08b3", "publicKeyCompressed": "03ec4246c98458876eefccde96e71a020050a187493794c27c6c32a0261005b17d", "msg": "54657374", "sig": { "r": "7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 2 }, "comment": "R: x-coordinate < 2**255 (Invalid signature: r too large)", "valid": false, "flags": ["special_R"] }, { "tcId": 36, "publicKeyUncompressed": "047b1ac3e145894f35d78a94c6bebc324722e5fbc74d762ec1421b72e13e444a843061c7a0314a8a0710ce3331d636906740abc09914fb6e9be1e1112f9a4751c7", "publicKeyCompressed": "037b1ac3e145894f35d78a94c6bebc324722e5fbc74d762ec1421b72e13e444a84", "msg": "54657374", "sig": { "r": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "s": "2b5ce742f6bd4e12b4983a1bdfe5b6ff13df0737868cfb51b1dba9634f59889a", "id": 0 }, "comment": "R: x-coordinate < 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 37, "publicKeyUncompressed": "0412a6efcab221914e432faf7634f2636a2485afe2bb812d1f50140b0f030beb2befaa5b695a22359b447ec74319ce0d9b3edb18122ee3d7d77c3aec9e44155c9f", "publicKeyCompressed": "0312a6efcab221914e432faf7634f2636a2485afe2bb812d1f50140b0f030beb2b", "msg": "54657374", "sig": { "r": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "s": "00a8e2d4a662c989fe1b71d772e25d72d0a9c74f6cd7db16953fbcdb3677e10435", "id": 0 }, "comment": "R: x-coordinate < 2**248", "valid": true, "flags": ["special_R"] }, { "tcId": 38, "publicKeyUncompressed": "04a7e988b1ce317a4d7e64e44813aeb86abd6547a1e3e4cc903bb8cb6c7ac404f390b05d642c3c5be468c37780f2d0564c474cd8d21e53678f8feb72ae44573c86", "publicKeyCompressed": "02a7e988b1ce317a4d7e64e44813aeb86abd6547a1e3e4cc903bb8cb6c7ac404f3", "msg": "5465737420", "sig": { "r": "3721150eb4be17ce122ba4892e476e14e26b8dea65772d2845933463bfab415a", "s": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "id": 0 }, "comment": "u1 = 1", "valid": true, "flags": ["special_u12"] }, { "tcId": 39, "publicKeyUncompressed": "044d9afc881f3400adccf3f3675e17170f80588b4877700a5329b9dcbbeb387e083b58a672b55b2ba9cbbd08f57d36b70388a85af400ddabc45c8645681bf9135c", "publicKeyCompressed": "024d9afc881f3400adccf3f3675e17170f80588b4877700a5329b9dcbbeb387e08", "msg": "5465737422", "sig": { "r": "19d4fc1fa1a6146fd02c4ffe01e1ee2ceb1af2bb757cc09a99212b3e09f0fb21", "s": "19d4fc1fa1a6146fd02c4ffe01e1ee2ceb1af2bb757cc09a99212b3e09f0fb21", "id": 0 }, "comment": "u2 = 1", "valid": true, "flags": ["special_u12"] }, { "tcId": 40, "publicKeyUncompressed": "043cb36528addee00b99a83e97008e7e5af351d08a54f6c023c07eaa378a72220fdd45b885b5f991d37c4b32f02dd73b993d63c3fbc94ef46fd7cad4bf691663a1", "publicKeyCompressed": "033cb36528addee00b99a83e97008e7e5af351d08a54f6c023c07eaa378a72220f", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "0083892f867f387d1e5bf376afc1601c7c5be0c1c15b987dd84a0090555ecc021a", "id": 0 }, "comment": "u1 = u2 = 1", "valid": true, "flags": ["special_u12"] }, { "tcId": 41, "publicKeyUncompressed": "044900458d6c0c104a6167cd39e0f6f26669d76edec9c3fee7b4c6febb6960e06095d510a185ae029ef6dd0dc3f527eae72358061ded1457cb639bb6046b250538", "publicKeyCompressed": "024900458d6c0c104a6167cd39e0f6f26669d76edec9c3fee7b4c6febb6960e060", "msg": "5465737421", "sig": { "r": "00d34a6349e8ea829eaeba7b82890c13970a99d84f508bb3da4e66583b4fb775f4", "s": "00a41afcd6c92ebd115fa928f3ff6943cdd817078eddd8f505362d3bc43a108c6b", "id": 0 }, "comment": "u1 = 2", "valid": true, "flags": ["special_u12"] }, { "tcId": 42, "publicKeyUncompressed": "0489a36e43efb3550ce9a16f1af12367584d809336cbf7f6b22e543c8809bc850565af338b119c528653537313b4010bf8ea41568c37216c8f6865335498960846", "publicKeyCompressed": "0289a36e43efb3550ce9a16f1af12367584d809336cbf7f6b22e543c8809bc8505", "msg": "5465737422", "sig": { "r": "7e16b3bb54434731b68924debd92426a6a029682c0b6daea341ea9fa16c16369", "s": "00bf0b59ddaa21a398db44926f5ec921349258b9b4b7ffbd92f9f88443737bd255", "id": 0 }, "comment": "u2 = 2", "valid": true, "flags": ["special_u12"] }, { "tcId": 43, "publicKeyUncompressed": "0470e61e2633775725821783c45cbcd81ebfe5162ad5f743e7d4cb7cd4f251e3dc384ddea886c332f028c30f7ffd7999298b47bcfb2a1928fb8a728b213cf418d4", "publicKeyCompressed": "0270e61e2633775725821783c45cbcd81ebfe5162ad5f743e7d4cb7cd4f251e3dc", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "21ac6c3bba55c1561fa937e590c3a60f26651d0018bf2a8919f43d0147f63f88", "id": 0 }, "comment": "u1 = u2 = 2", "valid": true, "flags": ["special_u12"] }, { "tcId": 44, "publicKeyUncompressed": "04575a263220aa2d17d70be8abc7685153c03b6dc2bdf8af1cad6a61087ccfd68e7ab3cdd1401d2ba023ebf86842251c9eb302ea88483f4ba7eec1ad6ec67d0400", "publicKeyCompressed": "02575a263220aa2d17d70be8abc7685153c03b6dc2bdf8af1cad6a61087ccfd68e", "msg": "5465737420", "sig": { "r": "00e15b1aa7e219f9d4cc123533fa3a313891e9e0565b4d6f6417cd9671ba4bc874", "s": "00a4e480fc6d51da48742be352923272d3422ac60b809a687ec76b16d7e81acf06", "id": 0 }, "comment": "u1 = 3", "valid": true, "flags": ["special_u12"] }, { "tcId": 45, "publicKeyUncompressed": "04edfe79857d94d7816aa914500115b1a37d3695897346f1027dc7ee5d96322045418ad7b19eb1aa2cb0d27700c40aff31a9bce8996c511333f7f6f122677a8640", "publicKeyCompressed": "02edfe79857d94d7816aa914500115b1a37d3695897346f1027dc7ee5d96322045", "msg": "5465737420", "sig": { "r": "784f4110658302318765d938dccbc639170bef6d56129924f3a4a09f5697d40a", "s": "00d2c515b021d6561082774868499942122ecde313918bf334266dc9e85256c784", "id": 0 }, "comment": "u2 = 3", "valid": true, "flags": ["special_u12"] }, { "tcId": 46, "publicKeyUncompressed": "04686e61068e1b1d525b26c5bc1ca26ffe5d98e49d7f02f71173cac8bcd35ff2e94e8252f19278792eed6bf0db1bebc90784026c70e84516d35bf94755a53aa988", "publicKeyCompressed": "02686e61068e1b1d525b26c5bc1ca26ffe5d98e49d7f02f71173cac8bcd35ff2e9", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "00d2c515b021d6561082774868499942122ecde313918bf334266dc9e85256c784", "id": 0 }, "comment": "u1 = u2 = 3", "valid": true, "flags": ["special_u12"] }, { "tcId": 47, "publicKeyUncompressed": "0461884da00720fc2934b6cd410487991f80c2db1372f5a3b9d4dede66575dbdb130c8482c47c7475c212f7de20bd5c8fdd287b1420ebb29a4dd143ec732681871", "publicKeyCompressed": "0361884da00720fc2934b6cd410487991f80c2db1372f5a3b9d4dede66575dbdb1", "msg": "5465737420", "sig": { "r": "00ac2a543f1edd6e0f1b6d62ef7fcd791cbfab20119fa306401805aeec38c38f81", "s": "11527d0ab80a7126a37c56084968a783aedd67aadcc206fb29637891e81c1570", "id": 0 }, "comment": "u1 = n-1", "valid": true, "flags": ["special_u12"] }, { "tcId": 48, "publicKeyUncompressed": "04b4fd1630f23e8f0eed2eb7735b95e138c51f2983a18de8c9bc10e46213723ed36724448f954d326693d831d850932ab5d65d32309dbdffb5db895d03be387946", "publicKeyCompressed": "02b4fd1630f23e8f0eed2eb7735b95e138c51f2983a18de8c9bc10e46213723ed3", "msg": "5465737420", "sig": { "r": "430d650352d0e91568019492087942475e1000f250355eca6a57c320cca0a486", "s": "00bcf29afcad2f16ea97fe6b6df786bdb75c9edbf45f134171557a9b6c03959cbb", "id": 0 }, "comment": "u2 = n-1", "valid": true, "flags": ["special_u12"] }, { "tcId": 49, "publicKeyUncompressed": "04357553b4bf596b5508d5117f67b8af3395f83d82c6b3bbaec7612600ea5d0edb200d6ee5c68178737a6e8f5eab59669599f5d0f325be6405c0499a6777439df5", "publicKeyCompressed": "03357553b4bf596b5508d5117f67b8af3395f83d82c6b3bbaec7612600ea5d0edb", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "00bcf29afcad2f16ea97fe6b6df786bdb75c9edbf45f134171557a9b6c03959cbb", "id": 0 }, "comment": "u1 = u2 = n-1", "valid": true, "flags": ["special_u12"] }, { "tcId": 50, "publicKeyUncompressed": "0455c41fc92246ce209d9836e73d809a5d79df58beb108c191c3a41ebe8ae41005db2c0f8f94066dde74d744275a00862117cbbdb4bad886bf718271051fe8731e", "publicKeyCompressed": "0255c41fc92246ce209d9836e73d809a5d79df58beb108c191c3a41ebe8ae41005", "msg": "5465737420", "sig": { "r": "00edb7bd6fa18db17b29b2edff8d05b713c2b0d9fed9038c94df4cb9819271c65a", "s": "08a93e855c05389351be2b0424b453c1d76eb3d56e61037d94b1bc48f40e0ab8", "id": 0 }, "comment": "u1 = n-2", "valid": true, "flags": ["special_u12"] }, { "tcId": 51, "publicKeyUncompressed": "04e80c75c93b47dce6f6fab6148bff21dc70094f8a55ea1ae023770af16f5d33ed6defc9cbce4a1bc37261977c34c15a571cc3af735706be3df46360a3e2b7991b", "publicKeyCompressed": "03e80c75c93b47dce6f6fab6148bff21dc70094f8a55ea1ae023770af16f5d33ed", "msg": "5465737420", "sig": { "r": "08eddc1410543a6c19cad40154e9f1615f35739346d884a00aefc60d8b5b7533", "s": "7b8911f5f7d5e2c9f31a95ff558b074eadbcb4a9b4380dcdda714c3fa26d6607", "id": 0 }, "comment": "u2 = n-2", "valid": true, "flags": ["special_u12"] }, { "tcId": 52, "publicKeyUncompressed": "04c22d997cf9c2c8dc57aff50e95e13397ad206223f8c380908258fe93c81000d5bb93b0b827ee95c06ddfd3245b993489be7a0ef5b57b5fdff7f250d1bac59410", "publicKeyCompressed": "02c22d997cf9c2c8dc57aff50e95e13397ad206223f8c380908258fe93c81000d5", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "7b8911f5f7d5e2c9f31a95ff558b074eadbcb4a9b4380dcdda714c3fa26d6607", "id": 0 }, "comment": "u1 = u2 = n-2", "valid": true, "flags": ["special_u12"] }, { "tcId": 53, "publicKeyUncompressed": "043c0a66154cc166e3ed45426ef664ae91e3c6a2f7fb1355668b2c14e5cd4289a2e4613718a987c929e5ec5d6a6d9868ca14a087ccbf853dcc6d4ec5c5424acab1", "publicKeyCompressed": "033c0a66154cc166e3ed45426ef664ae91e3c6a2f7fb1355668b2c14e5cd4289a2", "msg": "5465737423", "sig": { "r": "62d80bca139456a0350587cf1b1ea905142bbfb8135c46708709b3222a008651", "s": "00d82a74b849e1806dd672ab3675ca3c04774a2b6f4371227a03f0ff53822a83f6", "id": 0 }, "comment": "u1 = n-3", "valid": true, "flags": ["special_u12"] }, { "tcId": 54, "publicKeyUncompressed": "0432e1aa051f7fdeb4602ee4258a6bc3fdc44153d023195a6a12ec83debc1413a5e17122f21e1ea5b41505fce002733613bbada8fd5aad52b97de5f61a2fe9c74b", "publicKeyCompressed": "0332e1aa051f7fdeb4602ee4258a6bc3fdc44153d023195a6a12ec83debc1413a5", "msg": "5465737420", "sig": { "r": "29fb78ce2f3be23fb78144f4a9c308dcef6c62ba9c24a8aa88415305a3813063", "s": "009cac2d109aec09eac2d4e903c769a7b581fb1d0640cedd44527678b1544e70b5", "id": 0 }, "comment": "u2 = n-3", "valid": true, "flags": ["special_u12"] }, { "tcId": 55, "publicKeyUncompressed": "04de6cc48a363a327ceae3dae1eadb6be599fb52cf0338527405a59d8cabb6765f66ad1493e4342e91547bb4226bac328852fa812f287c4b72b6b32094e620374b", "publicKeyCompressed": "03de6cc48a363a327ceae3dae1eadb6be599fb52cf0338527405a59d8cabb6765f", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "009cac2d109aec09eac2d4e903c769a7b581fb1d0640cedd44527678b1544e70b5", "id": 0 }, "comment": "u1 = u2 = n-3", "valid": true, "flags": ["special_u12"] }, { "tcId": 56, "publicKeyUncompressed": "048ffb540788e105e2ee4f1031b6ef130d1d7e1de7e37db48f3229a2aadfa31b676348943bbd394581f8363c65bf5b2da0395bd8de283236aa356f9059738c0a62", "publicKeyCompressed": "028ffb540788e105e2ee4f1031b6ef130d1d7e1de7e37db48f3229a2aadfa31b67", "msg": "5465737421", "sig": { "r": "0097ad4fe249df1ae0806f391b4d63c84655b1f1767f3d460afc95edf3eb05ff19", "s": "57f53476e2ba1ac5d9bc5604cd0918134cc61b1e106e64882a38ed9f98e6bbc9", "id": 0 }, "comment": "u1 = n-5", "valid": true, "flags": ["special_u12"] }, { "tcId": 57, "publicKeyUncompressed": "040974da3b84a99ebf7a99ceb222639c4e2bbebe92ce2c2c68023bda989de111fd85543becb8bfbd60c3b8fdbca8e59974c2c7a2a3eb5010a3fb84e55d21cac966", "publicKeyCompressed": "020974da3b84a99ebf7a99ceb222639c4e2bbebe92ce2c2c68023bda989de111fd", "msg": "5465737420", "sig": { "r": "4196612438c10c7d59147afc7406ad99cb9484ea2c34521d79a2418ed0cc70e4", "s": "008c7b862bf4a630b3bafbe7671bfeaa13adb19d2860544fb78df75ed1865e1093", "id": 0 }, "comment": "u2 = n-5", "valid": true, "flags": ["special_u12"] }, { "tcId": 58, "publicKeyUncompressed": "046dd7bd233ae874f51745abb2a4db7694280a99adecb74b10e400b723f238e67cbdda6f0ef442d784a3f482e06f14cd186b21498a4c42955fcc76f61fab229701", "publicKeyCompressed": "036dd7bd233ae874f51745abb2a4db7694280a99adecb74b10e400b723f238e67c", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "008c7b862bf4a630b3bafbe7671bfeaa13adb19d2860544fb78df75ed1865e1093", "id": 0 }, "comment": "u1 = u2 = n-5", "valid": true, "flags": ["special_u12"] }, { "tcId": 59, "publicKeyUncompressed": "04c2f060902a25d9120e27436e6a7935ea66de03989d7f052640b560c87b78f7821ab9a6d073ba26e50d886ff75ed51385fd832a472a06fd22247b46e9d015a07e", "publicKeyCompressed": "02c2f060902a25d9120e27436e6a7935ea66de03989d7f052640b560c87b78f782", "msg": "5465737421", "sig": { "r": "2f004d6a77703d40772ffc25b55d6d94e09258383969c83763ea670005c5618a", "s": "636600e7343bc9fb093d62036de1ec9fe3cb0e5b0034a7d782b46e1866636ae2", "id": 0 }, "comment": "u1 = n-7", "valid": true, "flags": ["special_u12"] }, { "tcId": 60, "publicKeyUncompressed": "04aa8c9e54829ea711c45ed6aa6d8a928557059429cdc92225e4285c6e4d4e1e84b738f9901a7f7ca53ec0bf4e9808a6af53199a45dcbab40437c05fee62174bda", "publicKeyCompressed": "02aa8c9e54829ea711c45ed6aa6d8a928557059429cdc92225e4285c6e4d4e1e84", "msg": "5465737420", "sig": { "r": "00d46abf940b3f4a678db180127b6f75cc9a877f9bc9933033ff69245acf4b7293", "s": "73f0c00f6c1b87a810545b6b12f013bd792bfe48fe390b886db255681038cbc7", "id": 0 }, "comment": "u2 = n-7", "valid": true, "flags": ["special_u12"] }, { "tcId": 61, "publicKeyUncompressed": "04c9723cc843491e0b9500813f0a139a30f2af2b9a1b10fd5a39ba71f7f200a05f331081791c4ab33d103acc3232f49e1ce91b70d03c12732a774acd0583c1bff0", "publicKeyCompressed": "02c9723cc843491e0b9500813f0a139a30f2af2b9a1b10fd5a39ba71f7f200a05f", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "73f0c00f6c1b87a810545b6b12f013bd792bfe48fe390b886db255681038cbc7", "id": 0 }, "comment": "u1 = u2 = n-7", "valid": true, "flags": ["special_u12"] }, { "tcId": 62, "publicKeyUncompressed": "04c7282ff0ffa1ecf8e57feb7d200205c2251ce31f00fb876a53352f44a11304457e471c20e170e7743d2a279d7dd2b90caa9e04b5871a907d1e6e646fb391af46", "publicKeyCompressed": "02c7282ff0ffa1ecf8e57feb7d200205c2251ce31f00fb876a53352f44a1130445", "msg": "5465737420", "sig": { "r": "00efa367fe2ff369aee75cf43909274736969a2f007740d90c4838d8eaa5cf6140", "s": "00dd5b05ea8feb1db2b90753ef6d2eb0f75cf40d90f5c492456d0b6d68fffe1661", "id": 0 }, "comment": "u1 = (n+1)/2", "valid": true, "flags": ["special_u12"] }, { "tcId": 63, "publicKeyUncompressed": "040d9bae92e0d9534258bf953ca9f17234c2dfdbd47048f482be19114d55e22d7ea03c2a75e0398f58259fdc292a58520c05eb84528aa72fd85d8d204a2dcc3d95", "publicKeyCompressed": "030d9bae92e0d9534258bf953ca9f17234c2dfdbd47048f482be19114d55e22d7e", "msg": "5465737422", "sig": { "r": "2af49285508d85a8714b8237f9ef46a9f8f137b155430cacd5bcdee8f996fdbe", "s": 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"5bf80cb265ac347a75f93fa3c0a2cec27fd3bc43abe7d7775a96d81b7f81108d", "s": "22a4fa157014e24d46f8ac1092d14f075dbacf55b9840df652c6f123d0382ae0", "id": 0 }, "comment": "u1 = (n-1)/2", "valid": true, "flags": ["special_u12"] }, { "tcId": 66, "publicKeyUncompressed": "04a341460bdc9df2492fbc1fc332fdbf8c23fd7eabe9cf38f4f567e6c126146acc9540c429e1f8add557e76ec5b494a4490353e11890801bef84e4db43e973d4e5", "publicKeyCompressed": "03a341460bdc9df2492fbc1fc332fdbf8c23fd7eabe9cf38f4f567e6c126146acc", "msg": "5465737421", "sig": { "r": "009e09718494337de79eb07b514ac0247bf401f91a1b4c7e4ebb6addbaccb8cc97", "s": "00c3ed1cf6d7990430c29f095d6a7fb7058d59c79927f843da08cf01a406fae954", "id": 0 }, "comment": "u2 = (n-1)/2", "valid": true, "flags": ["special_u12"] }, { "tcId": 67, "publicKeyUncompressed": "04a3cd2b2a0d3f35472a79a75167c55cff520cf925098cb4791fec2cbb19f91b0f70ec68fec48f10334159c0a459b179a6d2895693ce18b3afeb3aa4d757cba332", "publicKeyCompressed": "02a3cd2b2a0d3f35472a79a75167c55cff520cf925098cb4791fec2cbb19f91b0f", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "00dfd492493eb0a46b7a9e71f2a35e3aa9e6c2063c29b2c81e74750e16f3db48a3", "id": 0 }, "comment": "u1 = u2 = (n-1)/2", "valid": true, "flags": ["special_u12"] }, { "tcId": 68, "publicKeyUncompressed": "04aca1267a00b72d9845d9d9269e38e55f38692fb323423fdbd8dd4812e5f2717ae8141b4d1b44a991c92e71ee720163383597f94c6a1eab19256ba2c116f3507f", "publicKeyCompressed": "03aca1267a00b72d9845d9d9269e38e55f38692fb323423fdbd8dd4812e5f2717a", "msg": "5465737420", "sig": { "r": "00f31f16f7a3adaf3c9674cb25ed0cd85f3690ce4ad0da440c8501c16b0e3060bc", "s": "67ea2831c2cb246230c4289e72701ae0bb23a2d93ac10c079136f44b71a2b3a6", "id": 0 }, "comment": "u1 = 2**255", "valid": true, "flags": ["special_u12"] }, { "tcId": 69, "publicKeyUncompressed": 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"comment": "u2 = 2**255-1", "valid": true, "flags": ["special_u12"] }, { "tcId": 73, "publicKeyUncompressed": "0441643527e76396b1e31aecedb2be6b94cf6a7297938488a1bc613799f51724033f8424034d3228046cdcd2b1e91b10a95afeb3daeae9d5d6bd525599a9f44618", "publicKeyCompressed": "0241643527e76396b1e31aecedb2be6b94cf6a7297938488a1bc613799f5172403", "msg": "5465737420", "sig": { "r": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "s": "00c0282a4fd17d2165e787f2e406f84f9850f81d50d5458b7406468c3eeef53afa", "id": 0 }, "comment": "u1 = u2 = 2**255-1", "valid": true, "flags": ["special_u12"] }, { "tcId": 74, "publicKeyUncompressed": "046ebc2c719dac8cf50a3c3ef2afa58c4b4a8ee02b1323cb2d17fb0a859ca56314ffdfcf37859a9e3b8e9213a1df90ea55446fea1ec732666bcd2d3a7c800ae776", "publicKeyCompressed": "026ebc2c719dac8cf50a3c3ef2afa58c4b4a8ee02b1323cb2d17fb0a859ca56314", "msg": "5465737420", "sig": { "r": "05f1730aec9240232466fd285e7fd06e1fdc94f1216d1a5f9625ed917afdcd47", "s": 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["special_AB"] }, { "tcId": 82, "publicKeyUncompressed": "04de5a6b1ced8698ded178390c9604a3403776add28e4a86cb42dc2243d8faa80299ab0e66fddfffc28e072146f4d93b6786451898f93c353ffe394935704a4089", "publicKeyCompressed": "03de5a6b1ced8698ded178390c9604a3403776add28e4a86cb42dc2243d8faa802", "msg": "5465737420", "sig": { "r": "046bc0ce1bd2650ceae1f2db1829115342fe79a56ebbb590400c5ed42939def7", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B: x-coordinate >= 2**248", "valid": true, "flags": ["special_AB"] }, { "tcId": 83, "publicKeyUncompressed": "04296c4431731e01b07cecb2f52cd567873ea8f8ad0951bb5ace9c0b2a229f62215bf1c0185293cacda32bc41144a0d65978977ec9598491a034b17ef1d06d958b", "publicKeyCompressed": "03296c4431731e01b07cecb2f52cd567873ea8f8ad0951bb5ace9c0b2a229f6221", "msg": "5465737420", "sig": { "r": "009a6720177f419cfe6f4c786dacdad03533b2f676f83656681fd9f771388fe64c", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B: small x coordinate", "valid": true, "flags": ["special_AB"] }, { "tcId": 84, "publicKeyUncompressed": "04bb9031bff194677f904718407753ecd724c0c30462024ee3aabc1e2babfb6675d83bd34c4f03a7e7274badde4d70ff3ad33f61a99b4e1de061acc49054f601d6", "publicKeyCompressed": "02bb9031bff194677f904718407753ecd724c0c30462024ee3aabc1e2babfb6675", "msg": "5465737420", "sig": { "r": "00fb95db58fa45eaa85d71ce11ab48567beb9f407d3dedb5a6ea9cf038a8ee4ac5", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B: small x coordinate", "valid": true, "flags": ["special_AB"] }, { "tcId": 85, "publicKeyUncompressed": "04beb50a539d9e968bfef4268a1e742b5403517cafb722e9f07bf4a44f403c4f6695a7c672767ed3deceb81b18941067abc8f4028ffaa161c48784c61bb26dabb2", "publicKeyCompressed": "02beb50a539d9e968bfef4268a1e742b5403517cafb722e9f07bf4a44f403c4f66", "msg": "5465737420", "sig": { "r": "008a87051a235c55f267c394b59ad62c40e3fa812b089c3049b436b163912f09b0", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B: large x-coordinate", "valid": true, "flags": ["special_AB"] }, { "tcId": 86, "publicKeyUncompressed": "0475331e98b59b8bfc1f1992bbe5e6889a56a6273809822b3ee450f2ef132a2ff2c61fdc9d0c907b6b65c94deef1dae71474ce727425b5ee8a7a6d084527418035", "publicKeyCompressed": "0375331e98b59b8bfc1f1992bbe5e6889a56a6273809822b3ee450f2ef132a2ff2", "msg": "5465737420", "sig": { "r": "3c1adce9b5050e1a2b8f375d1637b49a53b2990d93c351ddfc9e6009050fc347", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 0 }, "comment": "B: x-coordinate close to p", "valid": true, "flags": ["special_AB"] }, { "tcId": 87, "publicKeyUncompressed": "0440d021e3c30cd91fa97f0599f26286a19cbafd09ac6993bb19fae2a9c033bfd0d31ce3407df765ddfe4335e13903c0bf2383fe0c1eb6f3289de6a47931d18ee7", "publicKeyCompressed": "0340d021e3c30cd91fa97f0599f26286a19cbafd09ac6993bb19fae2a9c033bfd0", "msg": "5465737420", "sig": { "r": "74aff12da7dfeae7746d870edbc1cb9ea2a4f2b0fb013130ba09a1d50e56f42e", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B: x-coordinate < 2**255", "valid": true, "flags": ["special_AB"] }, { "tcId": 88, "publicKeyUncompressed": "0401af136955c59c9ea06eb3ee1e5ac4d8a1e4a66f4b7f7eba6c7fa20f18c487b8c53008fd1b686a94293c6c14c59809b159a26b16514db2181d7cc0af74eaf978", "publicKeyCompressed": "0201af136955c59c9ea06eb3ee1e5ac4d8a1e4a66f4b7f7eba6c7fa20f18c487b8", "msg": "5465737420", "sig": { "r": "00f319f81eb38efc94082a89aece17c47e7348bbc30d7373a3f6c88ed205d69b86", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B: x-coordinate < 2**248", "valid": true, "flags": ["special_AB"] }, { "tcId": 89, "publicKeyUncompressed": "049eb0e5aab056d4eff9ed82625f51ae4b6adc00403cfb7269aec370718245bd391a2334b2ddb81156e043a01985d13793a5216797f7513a9f72be8a5607bc6cb6", "publicKeyCompressed": "029eb0e5aab056d4eff9ed82625f51ae4b6adc00403cfb7269aec370718245bd39", "msg": "5465737420", "sig": { "r": "4fa07c8ba666c930929e8ba01bf4b31f910a688f25451636f6f1535b84743176", "s": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "id": 0 }, "comment": "A: g", "valid": true, "flags": ["special_AB"] }, { "tcId": 90, "publicKeyUncompressed": "04c57c9890516c521a555e1d81f27e077f1382de09895abc77eb1ace4ed619f73a466b8e14e125b1f5670622ee522e83d838c94a01d82863a41796f1b73fbf3ffa", "publicKeyCompressed": "02c57c9890516c521a555e1d81f27e077f1382de09895abc77eb1ace4ed619f73a", "msg": "5465737420", "sig": { "r": "00c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", "s": "00eead82f547f58ed95c83a9f7b697587b0bd1753bd2869940966ee5fae81a2bd1", "id": 0 }, "comment": "A = B: g", "valid": true, "flags": ["special_AB"] }, { "tcId": 91, "publicKeyUncompressed": "043fef6bf419ff7504b2173e2fdee53ff48192e808967b82b136b9181db9767e6711adc6a665efe7311879e89ac66386f472cbbfdc1654169df96402e40030508e", "publicKeyCompressed": "023fef6bf419ff7504b2173e2fdee53ff48192e808967b82b136b9181db9767e67", "msg": "5465737420", "sig": { "r": "2690f53ca7c56a0bdf2d20307d21edfd866cb45ba0531eea0d30bef7501b3c4e", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 0 }, "comment": "B; g", "valid": true, "flags": ["special_AB"] }, { "tcId": 92, "publicKeyUncompressed": "04eedcde54d86c305b6e082e8306098a45a3bbde5cd0d768c46c437fbb30aa642f6ec666ce8b2cf2709c1c8b85eaf0cfb48caa83d1ba671290d699bd33f2500c6d", "publicKeyCompressed": "03eedcde54d86c305b6e082e8306098a45a3bbde5cd0d768c46c437fbb30aa642f", "msg": "5465737420", "sig": { "r": "00971e47e32e786b61c27ad4acc0380697d6c3ecaf7d8a2bed04f06c1010c267b1", "s": "11527d0ab80a7126a37c56084968a783aedd67aadcc206fb29637891e81c1570", "id": 1 }, "comment": "A: -g", "valid": true, "flags": ["special_AB"] }, { "tcId": 93, "publicKeyUncompressed": "04c57c9890516c521a555e1d81f27e077f1382de09895abc77eb1ace4ed619f73a466b8e14e125b1f5670622ee522e83d838c94a01d82863a41796f1b73fbf3ffa", "publicKeyCompressed": "02c57c9890516c521a555e1d81f27e077f1382de09895abc77eb1ace4ed619f73a", "msg": "5465737420", "sig": { "r": "00c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5", "s": "11527d0ab80a7126a37c56084968a783aedd67aadcc206fb29637891e81c1570", "id": 1 }, "comment": "A = B: -g", "valid": true, "flags": ["special_AB"] }, { "tcId": 94, "publicKeyUncompressed": "04ba709e633108163ec3ac9c82d3d296dabc5ded4f73ccea03fdd67964cd6fb110b765ede702f05a0f0b2e2bdc1ee834770ba014a40378fff2eb3c16d42078c638", "publicKeyCompressed": "02ba709e633108163ec3ac9c82d3d296dabc5ded4f73ccea03fdd67964cd6fb110", "msg": "5465737420", "sig": { "r": "33aa6556c6e454fa62b9a6ce00c49f14893a042cc794e6750eccc7741b2a48a4", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 0 }, "comment": "B; -g", "valid": true, "flags": ["special_AB"] }, { "tcId": 95, "publicKeyUncompressed": "04c4d48b9fd2dba3137e39e68fd94fd69b3d7c2ecffa637da0b53bfba5d8ab1dae87f0f318c5df7ba0f528e2bf964478785ffb7a2c3116d7fc6b088a792f933c77", "publicKeyCompressed": "03c4d48b9fd2dba3137e39e68fd94fd69b3d7c2ecffa637da0b53bfba5d8ab1dae", "msg": "5465737420", "sig": { "r": "00ed42889d317238391339a559e092a4d09aced855ac7665e456b368eb8984f31f", "s": "00f756c17aa3fac76cae41d4fbdb4bac3ce340291140e79cbe2b20a243dc283689", "id": 0 }, "comment": "A: 2*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 96, "publicKeyUncompressed": "041f489b7ce338f8b57b71bba3eb119269333d72c7e2636ecfeff697768e0a1f3928e8d2ceab6de56cf7ca12e2198f319207712e443e9f80c2b900af925efd173b", "publicKeyCompressed": "031f489b7ce338f8b57b71bba3eb119269333d72c7e2636ecfeff697768e0a1f39", "msg": "5465737420", "sig": { "r": "00e493dbf1c10d80f3581e4904930b1404cc6c13900ee0758474fa94abe8c4cd13", "s": "00f756c17aa3fac76cae41d4fbdb4bac3ce340291140e79cbe2b20a243dc283689", "id": 0 }, "comment": "A = B: 2*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 97, "publicKeyUncompressed": "0443d3ff7866c0267850cedc15fb086e8e7714b8d9f9938f81ff27a3cd16130e1a7626b82edc29e3b55363e791a89d6a999e9821daa1cf1c6d06bb670f7e6c1ac6", "publicKeyCompressed": "0243d3ff7866c0267850cedc15fb086e8e7714b8d9f9938f81ff27a3cd16130e1a", "msg": "5465737420", "sig": { "r": "6b939a339ccd144470743088d9790359d3d5136bf802f467d1524a14c850fcb9", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B; 2*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 98, "publicKeyUncompressed": "04486ebd5f6c488b13169296def9dcc86421683d2f72bc09f189058bd466f5123341efb1d8f3249dba243d8d1fc8745b5546874326c49d0073f1615772f18c2b30", "publicKeyCompressed": "02486ebd5f6c488b13169296def9dcc86421683d2f72bc09f189058bd466f51233", "msg": "5465737420", "sig": { "r": "00a1874882e7165aa52a7c255fa05152b6da76c04ae55751c516f424acd7bfcfa5", "s": "00fbab60bd51fd63b65720ea7deda5d61dcef782fbf8181e7cf5798068562f3be5", "id": 1 }, "comment": "A: 4*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 99, "publicKeyUncompressed": "04a1446b8e91d4c3448f8f1135be17451fa17da7918265b39688c665547b42e120c008ebbd6b31159e0b014edefc2ffb4ebb53c21cda9a901cb72d8013cf17e460", "publicKeyCompressed": "02a1446b8e91d4c3448f8f1135be17451fa17da7918265b39688c665547b42e120", "msg": "5465737420", "sig": { "r": "2f01e5e15cca351daff3843fb70f3c2f0a1bdd05e5af888a67784ef3e10a2a01", "s": "00fbab60bd51fd63b65720ea7deda5d61dcef782fbf8181e7cf5798068562f3be5", "id": 0 }, "comment": "A = B: 4*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 100, "publicKeyUncompressed": "0410a9024ed2e49e420183caf929523cf4b0cf8ab71d5c37a3ffdaadbdba5f4d6f634a0adbbd5aca478b447a10064c087822c1a805b859de1c2245a15e5516c417", "publicKeyCompressed": "0310a9024ed2e49e420183caf929523cf4b0cf8ab71d5c37a3ffdaadbdba5f4d6f", "msg": "5465737420", "sig": { "r": "65363e90e7761899428cf8698eab0ba014970de9880ab8b9d556cab0225c8e66", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B; 4*g", "valid": true, "flags": ["special_AB"] }, { "tcId": 101, "publicKeyUncompressed": "045fa2f4009e92a67cedc1119bc8e97459a08c89c87f5b2a6b975e7be8e09c18f7cf068fa8fb53551b3d93c2e5bf5d5645805cea5a52bdcf2518bfdba241610fcf", "publicKeyCompressed": "035fa2f4009e92a67cedc1119bc8e97459a08c89c87f5b2a6b975e7be8e09c18f7", "msg": "5465737420", "sig": { "r": "06c5213afde7d6fc975f4f5d20139eb1991d455972651e14ca2be83a3e8e8e4b", "s": "22a4fa157014e24d46f8ac1092d14f075dbacf55b9840df652c6f123d0382ae0", "id": 0 }, "comment": "A: g*(n-1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 102, "publicKeyUncompressed": "04d5c8ae7a02038c30a1a8d70440f16e1b512e7b64758e904df2f7efda1ba770e67e53448de0428826fe8dff9b686dbccba2b4eef90544e83a0d24996c08001d07", "publicKeyCompressed": "03d5c8ae7a02038c30a1a8d70440f16e1b512e7b64758e904df2f7efda1ba770e6", "msg": "5465737420", "sig": { "r": "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", "s": "22a4fa157014e24d46f8ac1092d14f075dbacf55b9840df652c6f123d0382ae0", "id": 1 }, "comment": "A = B: g*(n-1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 103, "publicKeyUncompressed": "04a0d6ba948a2bd3e9190fa66686fcc7d85042248c0ff7d03b083a323a122350bf678409cafacd5f7330c67eeb6313f9ba3dfdb9cd6c157e2e97c80382ea37a1ee", "publicKeyCompressed": "02a0d6ba948a2bd3e9190fa66686fcc7d85042248c0ff7d03b083a323a122350bf", "msg": "5465737420", "sig": { "r": "03480d375c35c1de6f8da62813131d14c7314b44867b0454728a8a6b22e19e8b", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 1 }, "comment": "B; g*(n-1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 104, "publicKeyUncompressed": "04d30ef3c8fe3b87da29b5f09dbf25d5fb94f1ce78fd9711e23bc4e8b307cfe6713b8e40acaa2250776121de9c09a46ad22b3050721a20b60b77568f3934a3a2c8", "publicKeyCompressed": "02d30ef3c8fe3b87da29b5f09dbf25d5fb94f1ce78fd9711e23bc4e8b307cfe671", "msg": "5465737420", "sig": { "r": "0095099bc14e4ce3ac06327e8b32d35e126faa2f0bd2fab215afcdd753cac7a8bc", "s": "00dd5b05ea8feb1db2b90753ef6d2eb0f75cf40d90f5c492456d0b6d68fffe1661", "id": 1 }, "comment": "A: g*(n+1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 105, "publicKeyUncompressed": "04d5c8ae7a02038c30a1a8d70440f16e1b512e7b64758e904df2f7efda1ba770e67e53448de0428826fe8dff9b686dbccba2b4eef90544e83a0d24996c08001d07", "publicKeyCompressed": "03d5c8ae7a02038c30a1a8d70440f16e1b512e7b64758e904df2f7efda1ba770e6", "msg": "5465737420", "sig": { "r": "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", "s": "00dd5b05ea8feb1db2b90753ef6d2eb0f75cf40d90f5c492456d0b6d68fffe1661", "id": 0 }, "comment": "A = B: g*(n+1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 106, "publicKeyUncompressed": "049349c0837306c2694e54e6d72d6804ce1cf4e246267ecaa34e66821d8260cf15a99cb7353402bbe2ab808ee0d27bfacabb87b7a63863ff7b828a8b0ed8fe5159", "publicKeyCompressed": "039349c0837306c2694e54e6d72d6804ce1cf4e246267ecaa34e66821d8260cf15", "msg": "5465737420", "sig": { "r": "00e679646f95ed00fd9bf207508a88eb6600d181609a986da9e70127bd1f6cfbdb", "s": "00d6043b99f8d231f1f9f43c6565ec77bb102670f986452288270a5c2dbd4a6327", "id": 0 }, "comment": "B; g*(n+1)/2", "valid": true, "flags": ["special_AB"] }, { "tcId": 107, "publicKeyUncompressed": "04a851059314024b705cde7b294a97a111a344e2111a6145561b9adcbc8a41cf745604b1a7bd8e7e91de26b8cd83e8880ebc55ce04bf7a254aa21b5e1ce806174a", "publicKeyCompressed": "02a851059314024b705cde7b294a97a111a344e2111a6145561b9adcbc8a41cf74", "msg": "54657374", "sig": { "r": "00e210cc0b9db3e616e12d707f5b2fed00f7b4db975220017686ae2fd6555eed07", "s": "1097ba6ca203ef0b49e8577471897adf8294b1d937c7c0c246423b3ef07e6405", "id": 0 }, "comment": "point at infinity during verify (invalid signature)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 108, "publicKeyUncompressed": "0414869e9609ef0b92c6660ef95e50c2164732ece634c52b84ed616c72ff5a55a29da24df409aed5dc8527cc83a57478ffc8351d75cc1d555e1c4549c88e663939", "publicKeyCompressed": "0314869e9609ef0b92c6660ef95e50c2164732ece634c52b84ed616c72ff5a55a2", "msg": "54657374", "sig": { "r": "7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe", "s": "7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 109, "publicKeyUncompressed": "04f3eca509a9b93074b70a7b8f2daa444b96f62b7a08f903f081e0a0390a3c3f85ceafb40bce5a554e85366785ad53d38ae4d6325cce1fc8de4a37c7423bba7487", "publicKeyCompressed": "03f3eca509a9b93074b70a7b8f2daa444b96f62b7a08f903f081e0a0390a3c3f85", "msg": "54657374", "sig": { "r": "014551231950b75fc4402da1732fc9bebe", "s": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 110, "publicKeyUncompressed": "04b9eb7ca189502b2a3861b5891eaf795acbd0b19a3c68399b0135c5f5192a6c08676cf0cabe4a8cebc9d43caaed5ac0ce51c6ae0f0863d3dc86e1575c885b406b", "publicKeyCompressed": "03b9eb7ca189502b2a3861b5891eaf795acbd0b19a3c68399b0135c5f5192a6c08", "msg": "54657374", "sig": { "r": "014551231950b75fc4402da1732fc9bebf", "s": "010000000000000000000000000000000000000000000000000000000000000000", "id": 2 }, "comment": "point at infinity during verify (Invalid signature: r too large)", "valid": false, "flags": ["inf during verify"] }, { "tcId": 111, "publicKeyUncompressed": 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113, "publicKeyUncompressed": "04a1cee810c0456c156ff5b654d0706b57c9164ef0f47432397748b84ea4a05fce4185dffb218534ab83ed9e24b85c0c61be71598d78c14b333b5f8fbb43329048", "publicKeyCompressed": "02a1cee810c0456c156ff5b654d0706b57c9164ef0f47432397748b84ea4a05fce", "msg": "54657374", "sig": { "r": "3dfeec8ef9e43353c6cd74fecc6329525052040d93bfaaa311be08817beeeffe", "s": "00fffffffffffffffffffffffffffffffebad565d7f806d4e08361258c66bde94b", "id": 0 }, "comment": "s too large (s not in range)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 114, "publicKeyUncompressed": "04406d510ee11849b032e04fe4297f3676482fb45d485643d1d6c96c2719ee9512525e6b32862207ddb86b0777308bc794c6e7aa807f3e3de3c3c06090e45af535", "publicKeyCompressed": "03406d510ee11849b032e04fe4297f3676482fb45d485643d1d6c96c2719ee9512", "msg": "54657374", "sig": { "r": "3dfeec8ef9e43353c6cd74fecc6329525052040d93bfaaa311be08817beeeffe", "s": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", "id": 0 }, "comment": "s = n+1 (s not in range)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 115, "publicKeyUncompressed": "045c0fa04a2eb2f3a71af6501d704ca2986dc1b02664483d1765341ca403b0026a542ba2a1832ee58aa29b014bbdb94c7a0b9aef2d0755d61257f85da3500589db", "publicKeyCompressed": "035c0fa04a2eb2f3a71af6501d704ca2986dc1b02664483d1765341ca403b0026a", "msg": "54657374", "sig": { "r": "00fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364142", "s": "0e16b5fe2de57d71ce57f6b7ae2fee41c97a028a7844449f0bf97b8e21be9910", "id": 0 }, "comment": "r = n+{Rlow[0]} (Could not recover R)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 116, "publicKeyUncompressed": "04af3e2ee851926c927ef34547f779e35bbe116215227fa37c427290af8b8daaeca1e68ef200e56e608a24f120b574297c764ab375fb1194f2f35d7de772c58f72", "publicKeyCompressed": "02af3e2ee851926c927ef34547f779e35bbe116215227fa37c427290af8b8daaec", "msg": "54657374", "sig": { "r": "3dfeec8ef9e43353c6cd74fecc6329525052040d93bfaaa311be08817beeeffe", "s": "00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "id": 0 }, "comment": "s = 2**256-1 (s not in range)", "valid": false, "flags": ["invalid_range"] }, { "tcId": 117, "publicKeyUncompressed": "047a2867f8a7036ff7e236c9442406479ad0ba2505df264e7058c78cb537617504c6e8ea91bc45efefdcfc842b57a73140e10d667754425184eb6090b4a2e8d3eb", "publicKeyCompressed": "037a2867f8a7036ff7e236c9442406479ad0ba2505df264e7058c78cb537617504", "msg": "68656c6c6f", "sig": { "r": "59294e8bc54e76d48b5594f01fe4729566d9b6df6385982fbb533183921f1a12", "s": "00b0c7f723592d2b533938edfce827a222d9cad4a66c28ffc072ae28273b03a8b2", "id": 0 }, "comment": "R: w=-2 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 118, "publicKeyUncompressed": "043385a17b6c6b1544b34411ae0bcacc6eca75a7342e21736ec39080a88819821385a90e07f2fccf1fcdf510a04d72ea70222a2949c8512d8c6c55ff0b101113e2", "publicKeyCompressed": 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"043a8d2c851b64c8a3974e3203bef7c435417ea2715d05a264364e9b6c83698a4874cc2bbdee1fff0aae5ffb74d760cf5f8dc9159f44d205f5ea5d82b47f9c4102", "publicKeyCompressed": "023a8d2c851b64c8a3974e3203bef7c435417ea2715d05a264364e9b6c83698a48", "msg": "68656c6c6f", "sig": { "r": "00a10bd2bb932fae8716b0640d7d1b8e210264e3e70eea4840489c8b7252ed8993", "s": "00ab19c8fde1a46424f3b7cc098629b9f95ffa47fc7b6c3b5cb2017af123a96c51", "id": 0 }, "comment": "R: b=-3 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 121, "publicKeyUncompressed": "04ed888916fe8841a10732ff01da04d65e5cf01e9433181d2428b7c21458e7fd1da41a2438987bcef9d5c23b22a6a46c3d1a6f14b0032af2b1511522b798322901", "publicKeyCompressed": "03ed888916fe8841a10732ff01da04d65e5cf01e9433181d2428b7c21458e7fd1d", "msg": "68656c6c6f", "sig": { "r": "00f7b3cb719ab8ad6d3399d6fe5d24280d73956170416408edda530b80afdec300", "s": "00d13d791abe48a19e4763409417cb0888f03c59c780990a19937ff65dae8d6fcf", "id": 0 }, "comment": "R: b=-2 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 122, "publicKeyUncompressed": "04c4a053e2dbaf8a54df3c8e01ee8960410557e88cf50b4d104bb2d1172875b96c228df830adff6ca622006c51f7776d40b5a03381f6cfcd5f8de69b8645d4230e", "publicKeyCompressed": "02c4a053e2dbaf8a54df3c8e01ee8960410557e88cf50b4d104bb2d1172875b96c", "msg": "68656c6c6f", "sig": { "r": "00cdf6e7bfc3939a644fb51ec36bbd1057ca60eeb0b50563411e681368e29ec494", "s": "59e41b81a52486f750d06fef71d2363d697745b42d1eaf0f813bb9cce289ed50", "id": 0 }, "comment": "R: b=2 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 123, "publicKeyUncompressed": "04c78d7272b35c2ad449d48ad7debf8db8cae3fdbab26e864f1b7ec5e283a3ebab1e8b1ebf9054620927a7e63aed683570244db38785c932b64c0f377f62a8a1f9", "publicKeyCompressed": "03c78d7272b35c2ad449d48ad7debf8db8cae3fdbab26e864f1b7ec5e283a3ebab", "msg": "68656c6c6f", "sig": { "r": 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"R: h=1 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 127, "publicKeyUncompressed": "04d23bdd45cdaabe455f3f74d161fef2baf5596355218ebfceee8fdd535711eba37e8f21fb8ae2faab7ae947edf22ac1a4dc6618e77a5cb3c2fe395f02452ad0ab", "publicKeyCompressed": "03d23bdd45cdaabe455f3f74d161fef2baf5596355218ebfceee8fdd535711eba3", "msg": "68656c6c6f", "sig": { "r": "78c926b0ee01c000c25a83631219f08d8b34745d2ea2fdc9ebdc5a2288fa9b03", "s": "00d9a970c7a6c2913a147d777286247eabfbc883c967d4b2633d6540a958d76a0c", "id": 0 }, "comment": "R: h=2 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 128, "publicKeyUncompressed": "04cc40a53edc153c1f11c2b4b48fcfb9fdfa12d5cdb1954ebe9ce0cb9eb9495915194cdee9db0bba2bfa0cbaa3269f7d227d2a42f40d0cdaa958e054423afb1764", "publicKeyCompressed": "02cc40a53edc153c1f11c2b4b48fcfb9fdfa12d5cdb1954ebe9ce0cb9eb9495915", "msg": "68656c6c6f", "sig": { "r": 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"R: s**2=1 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 132, "publicKeyUncompressed": "046a46e363d0643fd18d3f5cb760d4dfa998127c67434d7aa4c78d1eb286572ead0b250c98ff7fc61ce61869c09c46bfd9b7062638444ae0cdee2e75cc2806bb12", "publicKeyCompressed": "026a46e363d0643fd18d3f5cb760d4dfa998127c67434d7aa4c78d1eb286572ead", "msg": "68656c6c6f", "sig": { "r": "146d3b65add9f54ccca28533c88e2cbc63f7443e1658783ab41f8ef97c2a10b5", "s": "008c75a37676c244e313af3ba0d24b22553ca9cad04f357930d8cb868387a2d6b7", "id": 0 }, "comment": "R: s**2=1 for m=2 in scalar mult with projective coordinates", "valid": true, "flags": ["edge_case_R"] }, { "tcId": 133, "publicKeyUncompressed": "0405499aab23da51a8bac7ce5dfe87e1d5888a1afa5555e20e831229afbd0796b5076e8f82033d5dfc242be42e901bd1da4790779b982eece615decec2e1accf88", "publicKeyCompressed": "0205499aab23da51a8bac7ce5dfe87e1d5888a1afa5555e20e831229afbd0796b5", "msg": "68656c6c6f", "sig": { "r": 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