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Enforce R is not at infinity", "start": 3150, "end": 3195, "loc": { "start": { "line": 127, "column": 4 }, "end": { "line": 127, "column": 49 } } }, { "type": "CommentLine", "value": " 1.4.6 Convert the field element R.x to an integer", "start": 3244, "end": 3296, "loc": { "start": { "line": 130, "column": 4 }, "end": { "line": 130, "column": 56 } } }, { "type": "CommentLine", "value": " 1.4.7 Set v = xR mod n", "start": 3326, "end": 3351, "loc": { "start": { "line": 133, "column": 4 }, "end": { "line": 133, "column": 29 } } }, { "type": "CommentLine", "value": " 1.4.8 If v = r, output \"valid\", and if v != r, output \"invalid\"", "start": 3380, "end": 3446, "loc": { "start": { "line": 136, "column": 4 }, "end": { "line": 136, "column": 70 } } }, { "type": "CommentLine", "value": " 1.4.2 H = Hash(M), already done by the user", "start": 3523, "end": 3569, "loc": { "start": { "line": 141, "column": 4 }, "end": { "line": 141, "column": 50 } } }, { "type": "CommentLine", "value": " 1.4.3 e = H", "start": 3574, "end": 3588, "loc": { "start": { "line": 142, "column": 4 }, "end": { "line": 142, "column": 18 } } }, { "type": "CommentBlock", "value": "*\n * Recover a public key from a signature.\n *\n * See SEC 1: Elliptic Curve Cryptography, section 4.1.6, \"Public\n * Key Recovery Operation\".\n *\n * http://www.secg.org/download/aid-780/sec1-v2.pdf\n ", "start": 3679, "end": 3880, "loc": { "start": { "line": 147, "column": 0 }, "end": { "line": 154, "column": 3 } } }, { "type": "CommentLine", "value": " A set LSB signifies that the y-coordinate is odd", "start": 4242, "end": 4293, "loc": { "start": { "line": 167, "column": 4 }, "end": { "line": 167, "column": 55 } } }, { "type": "CommentLine", "value": " The more significant bit specifies whether we should use the", "start": 4323, "end": 4386, "loc": { "start": { "line": 170, "column": 4 }, "end": { "line": 170, "column": 67 } } }, { "type": "CommentLine", "value": " first or second candidate key.", "start": 4391, "end": 4424, "loc": { "start": { "line": 171, "column": 4 }, "end": { "line": 171, "column": 37 } } }, { "type": "CommentLine", "value": " 1.1 Let x = r + jn", "start": 4460, "end": 4481, "loc": { "start": { "line": 174, "column": 4 }, "end": { "line": 174, "column": 25 } } }, { "type": "CommentLine", "value": " 1.4 Check that nR is at infinity", "start": 4568, "end": 4603, "loc": { "start": { "line": 178, "column": 4 }, "end": { "line": 178, "column": 39 } } }, { "type": "CommentLine", "value": " Compute -e from e", "start": 4704, "end": 4724, "loc": { "start": { "line": 182, "column": 4 }, "end": { "line": 182, "column": 24 } } }, { "type": "CommentLine", "value": " 1.6.1 Compute Q = r^-1 (sR - eG)", "start": 4764, "end": 4800, "loc": { "start": { "line": 185, "column": 4 }, "end": { "line": 185, "column": 40 } } }, { "type": "CommentLine", "value": " Q = r^-1 (sR + -eG)", "start": 4805, "end": 4841, "loc": { "start": { "line": 186, "column": 4 }, "end": { "line": 186, "column": 40 } } }, { "type": "CommentBlock", "value": "*\n * Calculate pubkey extraction parameter.\n *\n * When extracting a pubkey from a signature, we have to\n * distinguish four different cases. 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