{ "algorithm" : "ECDSA", "generatorVersion" : "0.4", "numberOfTests" : 340, "notes" : { "BER" : "This is a signature with correct values for (r, s) but using some alternative BER encoding instead of DER encoding. Implementations should not accept such signatures to limit signature malleability.", "EdgeCase" : "Edge case values such as r=1 and s=0 can lead to forgeries if the ECDSA implementation does not check boundaries and computes s^(-1)==0.", "MissingZero" : "Some implementations of ECDSA and DSA incorrectly encode r and s by not including leading zeros in the ASN encoding of integers when necessary. Hence, some implementations (e.g. jdk) allow signatures with incorrect ASN encodings assuming that the signature is otherwise valid.", "PointDuplication" : "Some implementations of ECDSA do not handle duplication and points at infinity correctly. This is a test vector that has been specially crafted to check for such an omission." }, "header" : [], "testGroups" : [ { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200042927b10512bae3eddcfe467828128bad2903269919f7086069c8c4df6c732838c7787964eaac00e5921fb1498a60f4606766b3d9685001558d1a974e7341513e", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEKSexBRK64+3c/kZ4KBKLrSkDJpkZ\n9whgacjE32xzKDjHeHlk6qwA5ZIfsUmKYPRgZ2az2WhQAVWNGpdOc0FRPg==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "2927b10512bae3eddcfe467828128bad2903269919f7086069c8c4df6c732838", "wy" : "0c7787964eaac00e5921fb1498a60f4606766b3d9685001558d1a974e7341513e" }, "tests" : [ { "tcId" : 1, "comment" : "signature malleability", "msg" : "313233343030", "sig" : "304402202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e1802204cd60b855d442f5b3c7b11eb6c4e0ae7525fe710fab9aa7c77a67f79e6fadd76", "result" : "valid", "flags" : [] }, { "tcId" : 2, "comment" : "random signature", "msg" : "313233343030", "sig" : "3046022100e43dc0edacf7345544d7c28547949164bf882dedcc9db1be918caa02a5f7f7ca022100eb313df522aa9e6dbc0cd45d1ea6edaebd858dca4780a940014363ff7600118d", "result" : "valid", "flags" : [] }, { "tcId" : 3, "comment" : "random signature", "msg" : "313233343030", "sig" : "304502204d1b36126feee49ec974650f8d1a335f8d210e60949642348ad71e476a35cdfe022100a890b9ddbb3f2089ea69fd117fb349ed054c0f0830f671c1a639ed88eec0bc75", "result" : "valid", "flags" : [] }, { "tcId" : 4, "comment" : "random signature", "msg" : "313233343030", "sig" : "304502200e285057b2f96995a3e6a6511cc4a83a791491610ae3f3571d8ab1080b726cc4022100d8b8325f25fb663eda57d958cc174fa8c36d19d2ccb76d5ac4488d776fcf0b8d", "result" : "valid", "flags" : [] }, { "tcId" : 5, "comment" : "random signature", "msg" : "313233343030", "sig" : "3046022100caf80e1656e0a20237b7c39c8bffdf1831efef84a0b5bd7d404fec77b20efecd022100e8352a15bf01544331281f2f71fd913003acabbc6ab0f47cdc58c8d7bc8a6cd5", "result" : "valid", "flags" : [] }, { "tcId" : 6, "comment" : "random signature", "msg" : "313233343030", "sig" : "304502206160cb08f98f68d6c62b45babea51bd439d9003a40acb38295f63929bf26027e0221008f6b86c954822054da763c5dc9e5ce22e08814904e438311fa4ff2d79e9f9795", "result" : "valid", "flags" : [] }, { "tcId" : 7, "comment" : "Legacy:ASN encoding of s misses leading 0", "msg" : "313233343030", "sig" : "304402202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180220b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "acceptable", "flags" : [ "MissingZero" ] }, { "tcId" : 8, "comment" : "valid", "msg" : "313233343030", "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "valid", "flags" : [] }, { "tcId" : 9, "comment" : "long form encoding of length", "msg" : "313233343030", "sig" : "30814502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 10, "comment" : "long form encoding of length", "msg" : "313233343030", "sig" : "30460281202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 11, "comment" : "long form encoding of length", "msg" : "313233343030", "sig" : "304602202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e1802812100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 12, "comment" : "length contains leading 0", "msg" : "313233343030", "sig" : "3082004502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 13, "comment" : "length contains leading 0", "msg" : "313233343030", "sig" : "3047028200202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 14, "comment" : "length contains leading 0", "msg" : "313233343030", "sig" : "304702202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180282002100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 15, "comment" : "wrong length", "msg" : "313233343030", "sig" : "304602202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 16, "comment" : "wrong length", "msg" : "313233343030", "sig" : "304402202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 17, "comment" : "wrong length", "msg" : "313233343030", "sig" : "304502212ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 18, "comment" : "wrong length", "msg" : "313233343030", "sig" : "3045021f2ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 19, "comment" : "wrong length", "msg" : "313233343030", "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022200b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 20, "comment" : "wrong length", "msg" : "313233343030", "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022000b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 21, "comment" : "uint32 overflow in length", "msg" : "313233343030", "sig" : "3085010000004502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 22, "comment" : "uint32 overflow in length", "msg" : "313233343030", "sig" : "304a028501000000202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 23, "comment" : "uint32 overflow in length", "msg" : "313233343030", "sig" : "304a02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180285010000002100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 24, "comment" : "uint64 overflow in length", "msg" : "313233343030", "sig" : "308901000000000000004502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 25, "comment" : "uint64 overflow in length", "msg" : "313233343030", "sig" : "304e02890100000000000000202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 26, "comment" : "uint64 overflow in length", "msg" : "313233343030", "sig" : "304e02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18028901000000000000002100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 27, "comment" : "length = 2**31 - 1", "msg" : "313233343030", "sig" : "30847fffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 28, "comment" : "length = 2**31 - 1", "msg" : "313233343030", "sig" : "304902847fffffff2ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 29, "comment" : "length = 2**31 - 1", "msg" : "313233343030", "sig" : "304902202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e1802847fffffff00b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 30, "comment" : "length = 2**32 - 1", "msg" : "313233343030", "sig" : "3084ffffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 31, "comment" : "length = 2**32 - 1", "msg" : "313233343030", "sig" : "30490284ffffffff2ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 32, "comment" : "length = 2**32 - 1", "msg" : "313233343030", "sig" : "304902202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180284ffffffff00b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 33, "comment" : "length = 2**40 - 1", "msg" : "313233343030", "sig" : "3085ffffffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 34, "comment" : "length = 2**40 - 1", "msg" : "313233343030", "sig" : "304a0285ffffffffff2ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 35, "comment" : "length = 2**40 - 1", "msg" : "313233343030", "sig" : "304a02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180285ffffffffff00b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 36, "comment" : "length = 2**64 - 1", "msg" : "313233343030", "sig" : "3088ffffffffffffffff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 37, "comment" : "length = 2**64 - 1", "msg" : "313233343030", "sig" : "304d0288ffffffffffffffff2ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 38, "comment" : "length = 2**64 - 1", "msg" : "313233343030", "sig" : "304d02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e180288ffffffffffffffff00b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 39, "comment" : "incorrect length", "msg" : "313233343030", "sig" : "30ff02202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 40, "comment" : "incorrect length", "msg" : "313233343030", "sig" : "304502ff2ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 41, "comment" : "incorrect length", "msg" : "313233343030", "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e1802ff00b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 42, "comment" : "indefinite length without termination", "msg" : "313233343030", "sig" : "308002202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 43, "comment" : "indefinite length without termination", "msg" : "313233343030", "sig" : "304502802ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 44, "comment" : "indefinite length without termination", "msg" : "313233343030", "sig" : "304502202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18028000b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db", "result" : "invalid", "flags" : [] }, { "tcId" : 45, "comment" : "removing sequence", "msg" : "313233343030", "sig" : "", "result" : "invalid", "flags" : [] }, { "tcId" : 46, "comment" : "appending 0's to sequence", "msg" : "313233343030", "sig" : "304702202ba3a8be6b94d5ec80a6d9d1190a436effe50d85a1eee859b8cc6af9bd5c2e18022100b329f479a2bbd0a5c384ee1493b1f5186a87139cac5df4087c134b49156847db0000", "result" : "invalid", "flags" : [] }, { "tcId" : 47, "comment" : 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"0ef6edf62a4497c1bd7b147fb6c3d22af3c39bfce95f30e13a16d3d7b2812f813" }, "tests" : [ { "tcId" : 221, "comment" : "small r and s", "msg" : "313233343030", "sig" : "3006020105020105", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d03010703420004cbe0c29132cd738364fedd603152990c048e5e2fff996d883fa6caca7978c73770af6a8ce44cb41224b2603606f4c04d188e80bff7cc31ad5189d4ab0d70e8c1", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEy+DCkTLNc4Nk/t1gMVKZDASOXi//\nmW2IP6bKynl4xzdwr2qM5Ey0EiSyYDYG9MBNGI6Av/fMMa1RidSrDXDowQ==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "0cbe0c29132cd738364fedd603152990c048e5e2fff996d883fa6caca7978c737", "wy" : "70af6a8ce44cb41224b2603606f4c04d188e80bff7cc31ad5189d4ab0d70e8c1" }, "tests" : [ { "tcId" : 222, "comment" : "small r and s", "msg" : "313233343030", "sig" : "3006020105020106", "result" : "valid", "flags" : [] }, { "tcId" : 223, "comment" : "r is larger than n", "msg" : "313233343030", "sig" : "3026022100ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632556020106", "result" : "invalid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200044be4178097002f0deab68f0d9a130e0ed33a6795d02a20796db83444b037e13920f13051e0eecdcfce4dacea0f50d1f247caa669f193c1b4075b51ae296d2d56", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAES+QXgJcALw3qto8NmhMODtM6Z5XQ\nKiB5bbg0RLA34Tkg8TBR4O7Nz85NrOoPUNHyR8qmafGTwbQHW1GuKW0tVg==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "4be4178097002f0deab68f0d9a130e0ed33a6795d02a20796db83444b037e139", "wy" : "20f13051e0eecdcfce4dacea0f50d1f247caa669f193c1b4075b51ae296d2d56" }, "tests" : [ { "tcId" : 224, "comment" : "s is larger than n", "msg" : "313233343030", "sig" : "3026020105022100ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc75fbd8", "result" : "invalid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d03010703420004d0f73792203716afd4be4329faa48d269f15313ebbba379d7783c97bf3e890d9971f4a3206605bec21782bf5e275c714417e8f566549e6bc68690d2363c89cc1", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE0Pc3kiA3Fq/UvkMp+qSNJp8VMT67\nujedd4PJe/PokNmXH0oyBmBb7CF4K/XidccUQX6PVmVJ5rxoaQ0jY8icwQ==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "0d0f73792203716afd4be4329faa48d269f15313ebbba379d7783c97bf3e890d9", "wy" : "0971f4a3206605bec21782bf5e275c714417e8f566549e6bc68690d2363c89cc1" }, "tests" : [ { "tcId" : 225, "comment" : "small r and s^-1", "msg" : "313233343030", "sig" : "3027020201000221008f1e3c7862c58b16bb76eddbb76eddbb516af4f63f2d74d76e0d28c9bb75ea88", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200044838b2be35a6276a80ef9e228140f9d9b96ce83b7a254f71ccdebbb8054ce05ffa9cbc123c919b19e00238198d04069043bd660a828814051fcb8aac738a6c6b", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAESDiyvjWmJ2qA754igUD52bls6Dt6\nJU9xzN67uAVM4F/6nLwSPJGbGeACOBmNBAaQQ71mCoKIFAUfy4qsc4psaw==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "4838b2be35a6276a80ef9e228140f9d9b96ce83b7a254f71ccdebbb8054ce05f", "wy" : "0fa9cbc123c919b19e00238198d04069043bd660a828814051fcb8aac738a6c6b" }, "tests" : [ { "tcId" : 226, "comment" : "smallish r and s^-1", "msg" : "313233343030", "sig" : "302c02072d9b4d347952d6022100ef3043e7329581dbb3974497710ab11505ee1c87ff907beebadd195a0ffe6d7a", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200047393983ca30a520bbc4783dc9960746aab444ef520c0a8e771119aa4e74b0f64e9d7be1ab01a0bf626e709863e6a486dbaf32793afccf774e2c6cd27b1857526", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEc5OYPKMKUgu8R4PcmWB0aqtETvUg\nwKjncRGapOdLD2Tp174asBoL9ibnCYY+akhtuvMnk6/M93Tixs0nsYV1Jg==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "7393983ca30a520bbc4783dc9960746aab444ef520c0a8e771119aa4e74b0f64", "wy" : "0e9d7be1ab01a0bf626e709863e6a486dbaf32793afccf774e2c6cd27b1857526" }, "tests" : [ { "tcId" : 227, "comment" : "100-bit r and small s^-1", "msg" : "313233343030", "sig" : "3032020d1033e67e37b32b445580bf4eff0221008b748b74000000008b748b748b748b7466e769ad4a16d3dcd87129b8e91d1b4d", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200045ac331a1103fe966697379f356a937f350588a05477e308851b8a502d5dfcdc5fe9993df4b57939b2b8da095bf6d794265204cfe03be995a02e65d408c871c0b", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEWsMxoRA/6WZpc3nzVqk381BYigVH\nfjCIUbilAtXfzcX+mZPfS1eTmyuNoJW/bXlCZSBM/gO+mVoC5l1AjIccCw==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "5ac331a1103fe966697379f356a937f350588a05477e308851b8a502d5dfcdc5", "wy" : "0fe9993df4b57939b2b8da095bf6d794265204cfe03be995a02e65d408c871c0b" }, "tests" : [ { "tcId" : 228, "comment" : "small r and 100 bit s^-1", "msg" : "313233343030", "sig" : "302702020100022100ef9f6ba4d97c09d03178fa20b4aaad83be3cf9cb824a879fec3270fc4b81ef5b", "result" : "valid", "flags" : [] } ] }, { "keyDer" : 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"result" : "invalid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d03010703420004b533d4695dd5b8c5e07757e55e6e516f7e2c88fa0239e23f60e8ec07dd70f2871b134ee58cc583278456863f33c3a85d881f7d4a39850143e29d4eaf009afe47", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEtTPUaV3VuMXgd1flXm5Rb34siPoC\nOeI/YOjsB91w8ocbE07ljMWDJ4RWhj8zw6hdiB99SjmFAUPinU6vAJr+Rw==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "0b533d4695dd5b8c5e07757e55e6e516f7e2c88fa0239e23f60e8ec07dd70f287", "wy" : "1b134ee58cc583278456863f33c3a85d881f7d4a39850143e29d4eaf009afe47" }, "tests" : [ { "tcId" : 233, "comment" : "point at infinity during verify", "msg" : "313233343030", "sig" : "304402207fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192a80220555555550000000055555555555555553ef7a8e48d07df81a693439654210c70", "result" : "invalid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d0301070342000469da0364734d2e530fece94019265fefb781a0f1b08f6c8897bdf6557927c8b866d2d3c7dcd518b23d726960f069ad71a933d86ef8abbcce8b20f71e2a847002", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEadoDZHNNLlMP7OlAGSZf77eBoPGw\nj2yIl732VXknyLhm0tPH3NUYsj1yaWDwaa1xqTPYbvirvM6LIPceKoRwAg==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "69da0364734d2e530fece94019265fefb781a0f1b08f6c8897bdf6557927c8b8", "wy" : "66d2d3c7dcd518b23d726960f069ad71a933d86ef8abbcce8b20f71e2a847002" }, "tests" : [ { "tcId" : 234, "comment" : "u1 == 1", "msg" : "313233343030", "sig" : "30450220555555550000000055555555555555553ef7a8e48d07df81a693439654210c70022100bb5a52f42f9c9261ed4361f59422a1e30036e7c32b270c8807a419feca605023", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d03010703420004d8adc00023a8edc02576e2b63e3e30621a471e2b2320620187bf067a1ac1ff3233e2b50ec09807accb36131fff95ed12a09a86b4ea9690aa32861576ba2362e1", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE2K3AACOo7cAlduK2Pj4wYhpHHisj\nIGIBh78GehrB/zIz4rUOwJgHrMs2Ex//le0SoJqGtOqWkKoyhhV2uiNi4Q==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "0d8adc00023a8edc02576e2b63e3e30621a471e2b2320620187bf067a1ac1ff32", "wy" : "33e2b50ec09807accb36131fff95ed12a09a86b4ea9690aa32861576ba2362e1" }, "tests" : [ { "tcId" : 235, "comment" : "u1 == n - 1", "msg" : "313233343030", "sig" : "30440220555555550000000055555555555555553ef7a8e48d07df81a693439654210c70022044a5ad0ad0636d9f12bc9e0a6bdd5e1cbcb012ea7bf091fcec15b0c43202d52e", "result" : "valid", "flags" : [] } ] }, { "keyDer" : 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"3059301306072a8648ce3d020106082a8648ce3d0301070342000492f99fbe973ed4a299719baee4b432741237034dec8d72ba5103cb33e55feeb8033dd0e91134c734174889f3ebcf1b7a1ac05767289280ee7a794cebd6e69697", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEkvmfvpc+1KKZcZuu5LQydBI3A03s\njXK6UQPLM+Vf7rgDPdDpETTHNBdIifPrzxt6GsBXZyiSgO56eUzr1uaWlw==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "092f99fbe973ed4a299719baee4b432741237034dec8d72ba5103cb33e55feeb8", "wy" : "33dd0e91134c734174889f3ebcf1b7a1ac05767289280ee7a794cebd6e69697" }, "tests" : [ { "tcId" : 261, "comment" : "edge case for u2", "msg" : "313233343030", "sig" : "304502207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd022100bfffffff36db6db7a492492492492492146c573f4c6dfc8d08a443e258970b09", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d03010703420004d35ba58da30197d378e618ec0fa7e2e2d12cffd73ebbb2049d130bba434af09eff83986e6875e41ea432b7585a49b3a6c77cbb3c47919f8e82874c794635c1d2", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE01uljaMBl9N45hjsD6fi4tEs/9c+\nu7IEnRMLukNK8J7/g5huaHXkHqQyt1haSbOmx3y7PEeRn46Ch0x5RjXB0g==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "0d35ba58da30197d378e618ec0fa7e2e2d12cffd73ebbb2049d130bba434af09e", "wy" : "0ff83986e6875e41ea432b7585a49b3a6c77cbb3c47919f8e82874c794635c1d2" }, "tests" : [ { "tcId" : 262, "comment" : "edge case for u2", "msg" : "313233343030", "sig" : "304502207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd022100bfffffff2aaaaaab7fffffffffffffffc815d0e60b3e596ecb1ad3a27cfd49c4", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200048651ce490f1b46d73f3ff475149be29136697334a519d7ddab0725c8d0793224e11c65bd8ca92dc8bc9ae82911f0b52751ce21dd9003ae60900bd825f590cc28", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEhlHOSQ8bRtc/P/R1FJvikTZpczSl\nGdfdqwclyNB5MiThHGW9jKktyLya6CkR8LUnUc4h3ZADrmCQC9gl9ZDMKA==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "08651ce490f1b46d73f3ff475149be29136697334a519d7ddab0725c8d0793224", "wy" : "0e11c65bd8ca92dc8bc9ae82911f0b52751ce21dd9003ae60900bd825f590cc28" }, "tests" : [ { "tcId" : 263, "comment" : "edge case for u2", "msg" : "313233343030", "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd02207fffffff55555555ffffffffffffffffd344a71e6f651458a27bdc81fd976e37", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200046d8e1b12c831a0da8795650ff95f101ed921d9e2f72b15b1cdaca9826b9cfc6def6d63e2bc5c089570394a4bc9f892d5e6c7a6a637b20469a58c106ad486bf37", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEbY4bEsgxoNqHlWUP+V8QHtkh2eL3\nKxWxzaypgmuc/G3vbWPivFwIlXA5SkvJ+JLV5sempjeyBGmljBBq1Ia/Nw==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "6d8e1b12c831a0da8795650ff95f101ed921d9e2f72b15b1cdaca9826b9cfc6d", "wy" : "0ef6d63e2bc5c089570394a4bc9f892d5e6c7a6a637b20469a58c106ad486bf37" }, "tests" : [ { "tcId" : 264, "comment" : "edge case for u2", "msg" : "313233343030", "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd02203fffffff800000007fffffffffffffffde737d56d38bcf4279dce5617e3192aa", "result" : "valid", "flags" : [] } ] }, { "keyDer" : "3059301306072a8648ce3d020106082a8648ce3d030107034200040ae580bae933b4ef2997cbdbb0922328ca9a410f627a0f7dff24cb4d920e15428911e7f8cc365a8a88eb81421a361ccc2b99e309d8dcd9a98ba83c3949d893e3", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAECuWAuukztO8pl8vbsJIjKMqaQQ9i\neg99/yTLTZIOFUKJEef4zDZaiojrgUIaNhzMK5njCdjc2amLqDw5SdiT4w==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "0ae580bae933b4ef2997cbdbb0922328ca9a410f627a0f7dff24cb4d920e1542", "wy" : "08911e7f8cc365a8a88eb81421a361ccc2b99e309d8dcd9a98ba83c3949d893e3" }, "tests" : [ { "tcId" : 265, "comment" : "edge case for u2", "msg" : "313233343030", "sig" : "304402207ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd02205d8ecd64a4eeba466815ddf3a4de9a8e6abd9c5db0a01eb80343553da648428f", "result" : "valid", "flags" : [] } ] }, { "keyDer" : 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"3059301306072a8648ce3d020106082a8648ce3d030107034200045b812fd521aafa69835a849cce6fbdeb6983b442d2444fe70e134c027fc469637c75bf0c5c9f6d17ffb16d2726bf30a9c7aaf31a8d317472b1ea145ab66db616", "keyPem" : "-----BEGIN PUBLIC KEY-----\nMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEW4Ev1SGq+mmDWoSczm+962mDtELS\nRE/nDhNMAn/EaWN8db8MXJ9tF/+xbScmvzCpx6rzGo0xdHKx6hRatm22Fg==\n-----END PUBLIC KEY-----", "sha" : "SHA-256", "type" : "ECDSAVer", "key" : { "curve" : "secp256r1", "keySize" : 256, "type" : "ECPublicKey", "wx" : "5b812fd521aafa69835a849cce6fbdeb6983b442d2444fe70e134c027fc46963", "wy" : "7c75bf0c5c9f6d17ffb16d2726bf30a9c7aaf31a8d317472b1ea145ab66db616" }, "tests" : [ { "tcId" : 267, "comment" : "duplication bug", "msg" : "313233343030", "sig" : "304502206f2347cab7dd76858fe0555ac3bc99048c4aacafdfb6bcbe05ea6c42c4934569022100bb726660235793aa9957a61e76e00c2c435109cf9a15dd624d53f4301047856b", "result" : "invalid", "flags" : [ "PointDuplication" ] } ] }, { "keyDer" : 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"4aaec73635726f213fb8a9e64da3b8632e41495a944d0045b522eba7240fad5", "wy" : "087d9315798aaa3a5ba01775787ced05eaaf7b4e09fc81d6d1aa546e8365d525d" }, "tests" : [ { "tcId" : 277, "comment" : "pseudorandom signature", "msg" : "", "sig" : "3045022100b292a619339f6e567a305c951c0dcbcc42d16e47f219f9e98e76e09d8770b34a02200177e60492c5a8242f76f07bfe3661bde59ec2a17ce5bd2dab2abebdf89a62e2", "result" : "valid", "flags" : [] }, { "tcId" : 278, "comment" : "pseudorandom signature", "msg" : "", "sig" : "3045022100e502de07f887e60119f9668cec69d2760839e6e74b9e6ff8cb7fa8d5a24f66c802207605e8b6afdbef06db7f89d06e2add2cf064eb4054d5ff0b101d815e813a8c08", "result" : "valid", "flags" : [] }, { "tcId" : 279, "comment" : "pseudorandom signature", "msg" : "", "sig" : "3044022030fbfb3d662f0f07e8d51c6c3ebbc3ae9cf17b985db10e38116f1ba584cccf4102206fcc086c907209fe3d3d3a3724af44ce3d5af9345ac8864de18ad2b2f9617819", "result" : "valid", "flags" : [] }, { "tcId" : 280, "comment" : "pseudorandom signature", "msg" : "", "sig" : 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