diff --git a/WebCryptoAPI/derive_bits_keys/cfrg_curves_bits.js b/WebCryptoAPI/derive_bits_keys/cfrg_curves_bits.js index ef6905e574c158..422a230bd16675 100644 --- a/WebCryptoAPI/derive_bits_keys/cfrg_curves_bits.js +++ b/WebCryptoAPI/derive_bits_keys/cfrg_curves_bits.js @@ -6,8 +6,6 @@ function define_tests() { // Verify the derive functions perform checks against the all-zero value results, // ensuring small-order points are rejected. // https://www.rfc-editor.org/rfc/rfc7748#section-6.1 - // TODO: The spec states that the check must be done on use, but there is discussion about doing it on import. - // https://github.com/WICG/webcrypto-secure-curves/pull/13 Object.keys(kSmallOrderPoint).forEach(function(algorithmName) { kSmallOrderPoint[algorithmName].forEach(function(test) { promise_test(async() => { @@ -23,8 +21,8 @@ function define_tests() { false, []) derived = await subtle.deriveBits({name: algorithmName, public: publicKey}, privateKey, 8 * sizes[algorithmName]); } catch (err) { - assert_false(privateKey === undefined, "Private key should be valid."); - assert_false(publicKey === undefined, "Public key should be valid."); + assert_true(privateKey !== undefined, "Private key should be valid."); + assert_true(publicKey !== undefined, "Public key should be valid."); assert_equals(err.name, "OperationError", "Should throw correct error, not " + err.name + ": " + err.message + "."); } assert_equals(derived, undefined, "Operation succeeded, but should not have."); diff --git a/WebCryptoAPI/sign_verify/eddsa.js b/WebCryptoAPI/sign_verify/eddsa.js index d77a8808831176..7817b78cff6293 100644 --- a/WebCryptoAPI/sign_verify/eddsa.js +++ b/WebCryptoAPI/sign_verify/eddsa.js @@ -366,6 +366,28 @@ function run_test() { }, "Sign and verify using generated " + vector.algorithmName + " keys."); }); + // When verifying an Ed25519 or Ed448 signature, if the public key or the first half of the signature (R) is + // an invalid or small-order element, return false. + Object.keys(kSmallOrderTestCases).forEach(function (algorithmName) { + var algorithm = {name: algorithmName}; + kSmallOrderTestCases[algorithmName].forEach(function(test) { + // Test low-order public keys + promise_test(async() => { + let isVerified = true; + let publicKey; + try { + publicKey = await subtle.importKey("raw", test.keyData, + algorithm, + false, ["verify"]) + isVerified = await subtle.verify(algorithmName, publicKey, test.signature, test.message); + } catch (err) { + assert_equals(isVerified, test.verified, "Signature verification result."); + assert_unreached("The operation shouldn't fail, but it thown this error: " + err.name + ": " + err.message + "."); + } + assert_false(isVerified, "Signature verification result."); + }, algorithmName + " Verification checks with small-order key of order - Test " + test.id); + }); + }); // A test vector has all needed fields for signing and verifying, EXCEPT that the // key field may be null. This function replaces that null with the Correct diff --git a/WebCryptoAPI/sign_verify/eddsa_vectors.js b/WebCryptoAPI/sign_verify/eddsa_vectors.js index 96ec2b01af96f2..ce80e0ea7e2626 100644 --- a/WebCryptoAPI/sign_verify/eddsa_vectors.js +++ b/WebCryptoAPI/sign_verify/eddsa_vectors.js @@ -53,6 +53,145 @@ function getTestVectors() { vectors.push(vector); }); - return vectors; } + +// https://eprint.iacr.org/2020/1244.pdf#table.caption.3 +var kSmallOrderPoints = [ + // Canonical serializations + [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], // #0 - Order 1 + [0xEC, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F], // #1 - Order 2 + [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80], // #2 - Order 4 + [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], // #3 - Order 4 + [0xC7, 0x17, 0x6A, 0x70, 0x3D, 0x4D, 0xD8, 0x4F, 0xBA, 0x3C, 0x0B, 0x76, 0x0D, 0x10, 0x67, 0x0F, 0x2A, 0x20, 0x53, 0xFA, 0x2C, 0x39, 0xCC, 0xC6, 0x4E, 0xC7, 0xFD, 0x77, 0x92, 0xAC, 0x03, 0x7A], // #4 - Order 8 + [0xC7, 0x17, 0x6A, 0x70, 0x3D, 0x4D, 0xD8, 0x4F, 0xBA, 0x3C, 0x0B, 0x76, 0x0D, 0x10, 0x67, 0x0F, 0x2A, 0x20, 0x53, 0xFA, 0x2C, 0x39, 0xCC, 0xC6, 0x4E, 0xC7, 0xFD, 0x77, 0x92, 0xAC, 0x03, 0xFA], // #5 - Order 8 + [0x26, 0xE8, 0x95, 0x8F, 0xC2, 0xB2, 0x27, 0xB0, 0x45, 0xC3, 0xF4, 0x89, 0xF2, 0xEF, 0x98, 0xF0, 0xD5, 0xDF, 0xAC, 0x05, 0xD3, 0xC6, 0x33, 0x39, 0xB1, 0x38, 0x02, 0x88, 0x6D, 0x53, 0xFC, 0x05], // #6 - Order 8 + [0x26, 0xE8, 0x95, 0x8F, 0xC2, 0xB2, 0x27, 0xB0, 0x45, 0xC3, 0xF4, 0x89, 0xF2, 0xEF, 0x98, 0xF0, 0xD5, 0xDF, 0xAC, 0x05, 0xD3, 0xC6, 0x33, 0x39, 0xB1, 0x38, 0x02, 0x88, 0x6D, 0x53, 0xFC, 0x85], // #7 - Order 8 + + // Non-canonical serializatons + [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80], // #8 - Order 1 + [0xEC, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], // #9 - Order 2 + [0xEE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F], // #10 - Order 1 + [0xEE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], // #11 - Order 1 + [0xED, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], // #12 - Order 4 + [0xED, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F], // #13 - Order 4 +]; + + +var pubKeys = [ + [0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa], // kSmallOrderPoints #5 + [0xf7, 0xba, 0xde, 0xc5, 0xb8, 0xab, 0xea, 0xf6, 0x99, 0x58, 0x39, 0x92, 0x21, 0x9b, 0x7b, 0x22, 0x3f, 0x1d, 0xf3, 0xfb, 0xbe, 0xa9, 0x19, 0x84, 0x4e, 0x3f, 0x7c, 0x55, 0x4a, 0x43, 0xdd, 0x43], // highest 32 bytes of case "1" signature + [0xcd, 0xb2, 0x67, 0xce, 0x40, 0xc5, 0xcd, 0x45, 0x30, 0x6f, 0xa5, 0xd2, 0xf2, 0x97, 0x31, 0x45, 0x93, 0x87, 0xdb, 0xf9, 0xeb, 0x93, 0x3b, 0x7b, 0xd5, 0xae, 0xd9, 0xa7, 0x65, 0xb8, 0x8d, 0x4d], + [0x44, 0x2a, 0xad, 0x9f, 0x08, 0x9a, 0xd9, 0xe1, 0x46, 0x47, 0xb1, 0xef, 0x90, 0x99, 0xa1, 0xff, 0x47, 0x98, 0xd7, 0x85, 0x89, 0xe6, 0x6f, 0x28, 0xec, 0xa6, 0x9c, 0x11, 0xf5, 0x82, 0xa6, 0x23], + [0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff], // kSmallOrderPoints #9 + [0xEC, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F], // kSmallOrderPoints #1 +] + +// https://eprint.iacr.org/2020/1244.pdf +// signature = (R, S); public key A, h = SHA512(R||A||M ) +// 8(SB) = 8R + 8(hA) => (1) +// SB = R + hA => (2) +var kSmallOrderTestCases = { + "Ed25519": [ + { + id: "0", // S = 0 | A's order = small | R's order = small | (1) = pass | (2) = pass + message : Uint8Array.from([0x8c, 0x93, 0x25, 0x5d, 0x71, 0xdc, 0xab, 0x10, 0xe8, 0xf3, 0x79, 0xc2, 0x62, 0x00, 0xf3, 0xc7, 0xbd, 0x5f, 0x09, 0xd9, 0xbc, 0x30, 0x68, 0xd3, 0xef, 0x4e, 0xde, 0xb4, 0x85, 0x30, 0x22, 0xb6]), + keyData : Uint8Array.from(pubKeys[0]), + signature : Uint8Array.from([0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]), + verified: false, // small-order signature's R fail in the verification. + }, + { + id: "1", // 0 < S < L | A's order = small | R's order = mixed | (1) = pass | (2) = pass + message : Uint8Array.from([0x9b, 0xd9, 0xf4, 0x4f, 0x4d, 0xcc, 0x75, 0xbd, 0x53, 0x1b, 0x56, 0xb2, 0xcd, 0x28, 0x0b, 0x0b, 0xb3, 0x8f, 0xc1, 0xcd, 0x6d, 0x12, 0x30, 0xe1, 0x48, 0x61, 0xd8, 0x61, 0xde, 0x09, 0x2e, 0x79]), + keyData : Uint8Array.from(pubKeys[0]), + signature : Uint8Array.from([0xf7, 0xba, 0xde, 0xc5, 0xb8, 0xab, 0xea, 0xf6, 0x99, 0x58, 0x39, 0x92, 0x21, 0x9b, 0x7b, 0x22, 0x3f, 0x1d, 0xf3, 0xfb, 0xbe, 0xa9, 0x19, 0x84, 0x4e, 0x3f, 0x7c, 0x55, 0x4a, 0x43, 0xdd, 0x43, 0xa5, 0xbb, 0x70, 0x47, 0x86, 0xbe, 0x79, 0xfc, 0x47, 0x6f, 0x91, 0xd3, 0xf3, 0xf8, 0x9b, 0x03, 0x98, 0x4d, 0x80, 0x68, 0xdc, 0xf1, 0xbb, 0x7d, 0xfc, 0x66, 0x37, 0xb4, 0x54, 0x50, 0xac, 0x04]), + verified: false, // small-order key's data fail in the verification. + }, + { + id: "2", // 0 < S < L | A's order = mixed | R's order = small | (1) = pass | (2) = pass + message : Uint8Array.from([0xae, 0xbf, 0x3f, 0x26, 0x01, 0xa0, 0xc8, 0xc5, 0xd3, 0x9c, 0xc7, 0xd8, 0x91, 0x16, 0x42, 0xf7, 0x40, 0xb7, 0x81, 0x68, 0x21, 0x8d, 0xa8, 0x47, 0x17, 0x72, 0xb3, 0x5f, 0x9d, 0x35, 0xb9, 0xab]), + keyData : Uint8Array.from(pubKeys[1]), + signature : Uint8Array.from([0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa, 0x8c, 0x4b, 0xd4, 0x5a, 0xec, 0xac, 0xa5, 0xb2, 0x4f, 0xb9, 0x7b, 0xc1, 0x0a, 0xc2, 0x7a, 0xc8, 0x75, 0x1a, 0x7d, 0xfe, 0x1b, 0xaf, 0xf8, 0xb9, 0x53, 0xec, 0x9f, 0x58, 0x33, 0xca, 0x26, 0x0e]), + verified: false, // small-order signature's R fail in the verification. + }, + { + id: "3", // 0 < S < L | A's order = mixed | R's order = mixed | (1) = pass | (2) = pass + message : Uint8Array.from([0x9b, 0xd9, 0xf4, 0x4f, 0x4d, 0xcc, 0x75, 0xbd, 0x53, 0x1b, 0x56, 0xb2, 0xcd, 0x28, 0x0b, 0x0b, 0xb3, 0x8f, 0xc1, 0xcd, 0x6d, 0x12, 0x30, 0xe1, 0x48, 0x61, 0xd8, 0x61, 0xde, 0x09, 0x2e, 0x79]), + keyData : Uint8Array.from(pubKeys[2]), + signature : Uint8Array.from([0x90, 0x46, 0xa6, 0x47, 0x50, 0x44, 0x49, 0x38, 0xde, 0x19, 0xf2, 0x27, 0xbb, 0x80, 0x48, 0x5e, 0x92, 0xb8, 0x3f, 0xdb, 0x4b, 0x65, 0x06, 0xc1, 0x60, 0x48, 0x4c, 0x01, 0x6c, 0xc1, 0x85, 0x2f, 0x87, 0x90, 0x9e, 0x14, 0x42, 0x8a, 0x7a, 0x1d, 0x62, 0xe9, 0xf2, 0x2f, 0x3d, 0x3a, 0xd7, 0x80, 0x2d, 0xb0, 0x2e, 0xb2, 0xe6, 0x88, 0xb6, 0xc5, 0x2f, 0xcd, 0x66, 0x48, 0xa9, 0x8b, 0xd0, 0x09]), + verified: true, // mixed-order points are not checked. + }, + { + id: "4", // 0 < S < L | A's order = mixed | R's order = mixed | (1) = pass | (2) = fail + message : Uint8Array.from([0xe4, 0x7d, 0x62, 0xc6, 0x3f, 0x83, 0x0d, 0xc7, 0xa6, 0x85, 0x1a, 0x0b, 0x1f, 0x33, 0xae, 0x4b, 0xb2, 0xf5, 0x07, 0xfb, 0x6c, 0xff, 0xec, 0x40, 0x11, 0xea, 0xcc, 0xd5, 0x5b, 0x53, 0xf5, 0x6c]), + keyData : Uint8Array.from(pubKeys[2]), + signature : Uint8Array.from([0x16, 0x0a, 0x1c, 0xb0, 0xdc, 0x9c, 0x02, 0x58, 0xcd, 0x0a, 0x7d, 0x23, 0xe9, 0x4d, 0x8f, 0xa8, 0x78, 0xbc, 0xb1, 0x92, 0x5f, 0x2c, 0x64, 0x24, 0x6b, 0x2d, 0xee, 0x17, 0x96, 0xbe, 0xd5, 0x12, 0x5e, 0xc6, 0xbc, 0x98, 0x2a, 0x26, 0x9b, 0x72, 0x3e, 0x06, 0x68, 0xe5, 0x40, 0x91, 0x1a, 0x9a, 0x6a, 0x58, 0x92, 0x1d, 0x69, 0x25, 0xe4, 0x34, 0xab, 0x10, 0xaa, 0x79, 0x40, 0x55, 0x1a, 0x09]), + verified: false, // expect a cofactorless verification algorithm. + }, + { + id: "5", // 0 < S < L | A's order = mixed | R's order = L | (1) = pass | (2) = fail + message : Uint8Array.from([0xe4, 0x7d, 0x62, 0xc6, 0x3f, 0x83, 0x0d, 0xc7, 0xa6, 0x85, 0x1a, 0x0b, 0x1f, 0x33, 0xae, 0x4b, 0xb2, 0xf5, 0x07, 0xfb, 0x6c, 0xff, 0xec, 0x40, 0x11, 0xea, 0xcc, 0xd5, 0x5b, 0x53, 0xf5, 0x6c]), + keyData : Uint8Array.from(pubKeys[2]), + signature : Uint8Array.from([0x21, 0x12, 0x2a, 0x84, 0xe0, 0xb5, 0xfc, 0xa4, 0x05, 0x2f, 0x5b, 0x12, 0x35, 0xc8, 0x0a, 0x53, 0x78, 0x78, 0xb3, 0x8f, 0x31, 0x42, 0x35, 0x6b, 0x2c, 0x23, 0x84, 0xeb, 0xad, 0x46, 0x68, 0xb7, 0xe4, 0x0b, 0xc8, 0x36, 0xda, 0xc0, 0xf7, 0x10, 0x76, 0xf9, 0xab, 0xe3, 0xa5, 0x3f, 0x9c, 0x03, 0xc1, 0xce, 0xee, 0xdd, 0xb6, 0x58, 0xd0, 0x03, 0x04, 0x94, 0xac, 0xe5, 0x86, 0x68, 0x74, 0x05]), + verified: false, // expect a cofactorless verification algorithm. + }, + { + id: "6", // S > L | A's order = L | R's order = L | (1) = pass | (2) = pass + message : Uint8Array.from([0x85, 0xe2, 0x41, 0xa0, 0x7d, 0x14, 0x8b, 0x41, 0xe4, 0x7d, 0x62, 0xc6, 0x3f, 0x83, 0x0d, 0xc7, 0xa6, 0x85, 0x1a, 0x0b, 0x1f, 0x33, 0xae, 0x4b, 0xb2, 0xf5, 0x07, 0xfb, 0x6c, 0xff, 0xec, 0x40]), + keyData : Uint8Array.from(pubKeys[3]), + signature : Uint8Array.from([0xe9, 0x6f, 0x66, 0xbe, 0x97, 0x6d, 0x82, 0xe6, 0x01, 0x50, 0xba, 0xec, 0xff, 0x99, 0x06, 0x68, 0x4a, 0xeb, 0xb1, 0xef, 0x18, 0x1f, 0x67, 0xa7, 0x18, 0x9a, 0xc7, 0x8e, 0xa2, 0x3b, 0x6c, 0x0e, 0x54, 0x7f, 0x76, 0x90, 0xa0, 0xe2, 0xdd, 0xcd, 0x04, 0xd8, 0x7d, 0xbc, 0x34, 0x90, 0xdc, 0x19, 0xb3, 0xb3, 0x05, 0x2f, 0x7f, 0xf0, 0x53, 0x8c, 0xb6, 0x8a, 0xfb, 0x36, 0x9b, 0xa3, 0xa5, 0x14]), + verified: false, // S out of bounds + }, + { + id: "7", // S >> L | A's order = L | R's order = L | (1) = pass | (2) = pass + message : Uint8Array.from([0x85, 0xe2, 0x41, 0xa0, 0x7d, 0x14, 0x8b, 0x41, 0xe4, 0x7d, 0x62, 0xc6, 0x3f, 0x83, 0x0d, 0xc7, 0xa6, 0x85, 0x1a, 0x0b, 0x1f, 0x33, 0xae, 0x4b, 0xb2, 0xf5, 0x07, 0xfb, 0x6c, 0xff, 0xec, 0x40]), + keyData : Uint8Array.from(pubKeys[3]), + signature : Uint8Array.from([0x8c, 0xe5, 0xb9, 0x6c, 0x8f, 0x26, 0xd0, 0xab, 0x6c, 0x47, 0x95, 0x8c, 0x9e, 0x68, 0xb9, 0x37, 0x10, 0x4c, 0xd3, 0x6e, 0x13, 0xc3, 0x35, 0x66, 0xac, 0xd2, 0xfe, 0x8d, 0x38, 0xaa, 0x19, 0x42, 0x7e, 0x71, 0xf9, 0x8a, 0x47, 0x34, 0xe7, 0x4f, 0x2f, 0x13, 0xf0, 0x6f, 0x97, 0xc2, 0x0d, 0x58, 0xcc, 0x3f, 0x54, 0xb8, 0xbd, 0x0d, 0x27, 0x2f, 0x42, 0xb6, 0x95, 0xdd, 0x7e, 0x89, 0xa8, 0xc2, 0x02]), + verified: false, // S out of bounds + }, + { + id: "8", // 0 < S < L | A's order = mixed | R's order = small (non-canonical) | (1) = ? | (2) = ? Implementations that reduce A before hashing will accept #8 and accept #9, and viceversa + message : Uint8Array.from([0x9b, 0xed, 0xc2, 0x67, 0x42, 0x37, 0x25, 0xd4, 0x73, 0x88, 0x86, 0x31, 0xeb, 0xf4, 0x59, 0x88, 0xba, 0xd3, 0xdb, 0x83, 0x85, 0x1e, 0xe8, 0x5c, 0x85, 0xe2, 0x41, 0xa0, 0x7d, 0x14, 0x8b, 0x41]), + keyData : Uint8Array.from(pubKeys[1]), + signature : Uint8Array.from([0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x03, 0xbe, 0x96, 0x78, 0xac, 0x10, 0x2e, 0xdc, 0xd9, 0x2b, 0x02, 0x10, 0xbb, 0x34, 0xd7, 0x42, 0x8d, 0x12, 0xff, 0xc5, 0xdf, 0x5f, 0x37, 0xe3, 0x59, 0x94, 0x12, 0x66, 0xa4, 0xe3, 0x5f, 0x0f]), + verified: false, // non-canonical point should fail in the verificaton (RFC8032) + }, + { + id: "9", // 0 < S < L | A's order = mixed | R's order = small (non-canonical) | (1) = ? | (2) = ? + message : Uint8Array.from([0x9b, 0xed, 0xc2, 0x67, 0x42, 0x37, 0x25, 0xd4, 0x73, 0x88, 0x86, 0x31, 0xeb, 0xf4, 0x59, 0x88, 0xba, 0xd3, 0xdb, 0x83, 0x85, 0x1e, 0xe8, 0x5c, 0x85, 0xe2, 0x41, 0xa0, 0x7d, 0x14, 0x8b, 0x41]), + keyData : Uint8Array.from(pubKeys[1]), + signature : Uint8Array.from([0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xca, 0x8c, 0x5b, 0x64, 0xcd, 0x20, 0x89, 0x82, 0xaa, 0x38, 0xd4, 0x93, 0x66, 0x21, 0xa4, 0x77, 0x5a, 0xa2, 0x33, 0xaa, 0x05, 0x05, 0x71, 0x1d, 0x8f, 0xdc, 0xfd, 0xaa, 0x94, 0x3d, 0x49, 0x08]), + verified: false, // non-canonical point should fail in the verificaton (RFC8032) + }, + { + id: "10", // 0 < S < L | A's order = small (non-canonical) | R's order = mixed | (1) = ? | (2) = ? Implementations that reduce A before hashing will accept #10 and accept #11, and viceversa + message : Uint8Array.from([0xe9, 0x6b, 0x70, 0x21, 0xeb, 0x39, 0xc1, 0xa1, 0x63, 0xb6, 0xda, 0x4e, 0x30, 0x93, 0xdc, 0xd3, 0xf2, 0x13, 0x87, 0xda, 0x4c, 0xc4, 0x57, 0x2b, 0xe5, 0x88, 0xfa, 0xfa, 0xe2, 0x3c, 0x15, 0x5b]), + keyData : Uint8Array.from(pubKeys[4]), + signature : Uint8Array.from([0xa9, 0xd5, 0x52, 0x60, 0xf7, 0x65, 0x26, 0x1e, 0xb9, 0xb8, 0x4e, 0x10, 0x6f, 0x66, 0x5e, 0x00, 0xb8, 0x67, 0x28, 0x7a, 0x76, 0x19, 0x90, 0xd7, 0x13, 0x59, 0x63, 0xee, 0x0a, 0x7d, 0x59, 0xdc, 0xa5, 0xbb, 0x70, 0x47, 0x86, 0xbe, 0x79, 0xfc, 0x47, 0x6f, 0x91, 0xd3, 0xf3, 0xf8, 0x9b, 0x03, 0x98, 0x4d, 0x80, 0x68, 0xdc, 0xf1, 0xbb, 0x7d, 0xfc, 0x66, 0x37, 0xb4, 0x54, 0x50, 0xac, 0x04]), + verified: false, // non-canonical point should fail in the verificaton (RFC8032) + }, + { + id: "11", // 0 < S < L | A's order = small (non-canonical) | R's order = mixed | (1) = ? | (2) = ? Implementations that reduce A before hashing will accept #10 and accept #11, and viceversa + message : Uint8Array.from([0x39, 0xa5, 0x91, 0xf5, 0x32, 0x1b, 0xbe, 0x07, 0xfd, 0x5a, 0x23, 0xdc, 0x2f, 0x39, 0xd0, 0x25, 0xd7, 0x45, 0x26, 0x61, 0x57, 0x46, 0x72, 0x7c, 0xee, 0xfd, 0x6e, 0x82, 0xae, 0x65, 0xc0, 0x6f]), + keyData : Uint8Array.from(pubKeys[4]), + signature : Uint8Array.from([0xa9, 0xd5, 0x52, 0x60, 0xf7, 0x65, 0x26, 0x1e, 0xb9, 0xb8, 0x4e, 0x10, 0x6f, 0x66, 0x5e, 0x00, 0xb8, 0x67, 0x28, 0x7a, 0x76, 0x19, 0x90, 0xd7, 0x13, 0x59, 0x63, 0xee, 0x0a, 0x7d, 0x59, 0xdc, 0xa5, 0xbb, 0x70, 0x47, 0x86, 0xbe, 0x79, 0xfc, 0x47, 0x6f, 0x91, 0xd3, 0xf3, 0xf8, 0x9b, 0x03, 0x98, 0x4d, 0x80, 0x68, 0xdc, 0xf1, 0xbb, 0x7d, 0xfc, 0x66, 0x37, 0xb4, 0x54, 0x50, 0xac, 0x04]), + verified: false, // non-canonical point should fail in the verificaton (RFC8032) + }, + // https://eprint.iacr.org/2020/1244.pdf#section.A.2 + // cases breaking non-repudiation + { + id: "12", // 0 < S < L | A's order = small | R's order = mixed | (1) = ? | (2) = ? + message : Uint8Array.from([0x53, 0x65, 0x6e, 0x64, 0x20, 0x31, 0x30, 0x30, 0x20, 0x55, 0x53, 0x44, 0x20, 0x74, 0x6f, 0x20, 0x41, 0x6c, 0x69, 0x63, 0x65]), + keyData : Uint8Array.from(pubKeys[5]), + signature : Uint8Array.from([0xa9, 0xd5, 0x52, 0x60, 0xf7, 0x65, 0x26, 0x1e, 0xb9, 0xb8, 0x4e, 0x10, 0x6f, 0x66, 0x5e, 0x00, 0xb8, 0x67, 0x28, 0x7a, 0x76, 0x19, 0x90, 0xd7, 0x13, 0x59, 0x63, 0xee, 0x0a, 0x7d, 0x59, 0xdc, 0xa5, 0xbb, 0x70, 0x47, 0x86, 0xbe, 0x79, 0xfc, 0x47, 0x6f, 0x91, 0xd3, 0xf3, 0xf8, 0x9b, 0x03, 0x98, 0x4d, 0x80, 0x68, 0xdc, 0xf1, 0xbb, 0x7d, 0xfc, 0x66, 0x37, 0xb4, 0x54, 0x50, 0xac, 0x04]), + verified: false, + }, + { + id: "13", // 0 < S < L | A's order = small | R's order = mixed | (1) = ? | (2) = ? + message : Uint8Array.from([0x53, 0x65, 0x6e, 0x64, 0x20, 0x31, 0x30, 0x30, 0x30, 0x30, 0x30, 0x20, 0x55, 0x53, 0x44, 0x20, 0x74, 0x6f, 0x20, 0x41, 0x6c, 0x69, 0x63, 0x65]), + keyData : Uint8Array.from(pubKeys[5]), + signature : Uint8Array.from([0xa9, 0xd5, 0x52, 0x60, 0xf7, 0x65, 0x26, 0x1e, 0xb9, 0xb8, 0x4e, 0x10, 0x6f, 0x66, 0x5e, 0x00, 0xb8, 0x67, 0x28, 0x7a, 0x76, 0x19, 0x90, 0xd7, 0x13, 0x59, 0x63, 0xee, 0x0a, 0x7d, 0x59, 0xdc, 0xa5, 0xbb, 0x70, 0x47, 0x86, 0xbe, 0x79, 0xfc, 0x47, 0x6f, 0x91, 0xd3, 0xf3, 0xf8, 0x9b, 0x03, 0x98, 0x4d, 0x80, 0x68, 0xdc, 0xf1, 0xbb, 0x7d, 0xfc, 0x66, 0x37, 0xb4, 0x54, 0x50, 0xac, 0x04]), + verified: false, + } + ] +};