js-ecutils
Version:
JavaScript Library for Elliptic Curve Cryptography: key exchanges (Diffie-Hellman, Massey-Omura), ECDSA signatures, and Koblitz encoding. Suitable for crypto education and secure systems.
143 lines (136 loc) • 17.5 kB
JavaScript
;
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.Koblitz = void 0;
var _point = require("../core/point.js");
var _registry = require("../curves/registry.js");
var _math = require("../utils/math.js");
function _typeof(o) { "@babel/helpers - typeof"; return _typeof = "function" == typeof Symbol && "symbol" == typeof Symbol.iterator ? function (o) { return typeof o; } : function (o) { return o && "function" == typeof Symbol && o.constructor === Symbol && o !== Symbol.prototype ? "symbol" : typeof o; }, _typeof(o); }
function _classCallCheck(a, n) { if (!(a instanceof n)) throw new TypeError("Cannot call a class as a function"); }
function _defineProperties(e, r) { for (var t = 0; t < r.length; t++) { var o = r[t]; o.enumerable = o.enumerable || !1, o.configurable = !0, "value" in o && (o.writable = !0), Object.defineProperty(e, _toPropertyKey(o.key), o); } }
function _createClass(e, r, t) { return r && _defineProperties(e.prototype, r), t && _defineProperties(e, t), Object.defineProperty(e, "prototype", { writable: !1 }), e; }
function _toPropertyKey(t) { var i = _toPrimitive(t, "string"); return "symbol" == _typeof(i) ? i : i + ""; }
function _toPrimitive(t, r) { if ("object" != _typeof(t) || !t) return t; var e = t[Symbol.toPrimitive]; if (void 0 !== e) { var i = e.call(t, r || "default"); if ("object" != _typeof(i)) return i; throw new TypeError("@@toPrimitive must return a primitive value."); } return ("string" === r ? String : Number)(t); } /**
* Koblitz method for encoding/decoding messages as elliptic curve points.
*
* Encoding algorithm:
* 1. Convert the message string to an integer m using base-α
* positional encoding (α = alphabetSize).
* 2. For j = 1, 2, ..., d-1:
* x = (d·m + j) mod p
* 3. Test if x³ + ax + b is a quadratic residue mod p.
* 4. If yes, compute y = √(x³ + ax + b) mod p and return
* (Point(x, y), j).
*
* With d = 100 the probability of failure per attempt is ≈ 1/2, so the
* overall failure probability after 99 attempts is ≈ 2⁻⁹⁹.
*
* Usage:
*
* const kob = new Koblitz('secp521r1')
* const [point, j] = kob.encode('Hello, world!')
* const text = kob.decode(point, j)
* // text === 'Hello, world!'
*/
/**
* Koblitz message encoding/decoding on an elliptic curve.
*/
var Koblitz = exports.Koblitz = /*#__PURE__*/function () {
/**
* @param {string} [curveName='secp521r1'] - Name of the curve.
* Larger curves can encode longer messages in a single point.
* @param {BigInt} [alphabetSize=256n] - Character set size.
* 256 for ASCII, 65536 for Unicode.
*/
function Koblitz() {
var curveName = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : 'secp521r1';
var alphabetSize = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : 256n;
_classCallCheck(this, Koblitz);
this.curveName = curveName;
this.alphabetSize = alphabetSize;
Object.freeze(this);
}
return _createClass(Koblitz, [{
key: "_curve",
get: function get() {
return (0, _registry.getCurve)(this.curveName);
}
/**
* Encode a text message into a point on the curve.
*
* The message is first converted to an integer m via base-α encoding:
*
* m = Σ char_code(ch_i) · α^i
*
* Then Koblitz's method searches for a valid curve point:
*
* for j = 1, 2, ..., 99:
* x = (100·m + j) mod p
* s = x³ + ax + b (mod p)
* if s is a quadratic residue:
* y = √s mod p
* return (Point(x, y), j)
*
* @param {string} message - The text to encode (limited by curve size).
* @returns {[Point, number]} [point, j] where j is needed for decoding.
* @throws {Error} If no valid point is found (probability ≈ 2⁻⁹⁹).
*/
}, {
key: "encode",
value: function encode(message) {
var curve = this._curve;
var alpha = this.alphabetSize;
// Convert string → integer (base-alpha encoding)
var m = 0n;
for (var i = 0; i < message.length; i++) {
m += BigInt(message.charCodeAt(i)) * alpha ** BigInt(i);
}
// Koblitz: try x = d·m + j until y² = x³ + ax + b has a root
var d = 100n;
for (var j = 1; j < 100; j++) {
var x = (0, _math.modulus)(d * m + BigInt(j), curve.p);
var s = (0, _math.modulus)((0, _math.modPow)(x, 3n, curve.p) + curve.a * x + curve.b, curve.p);
// Euler criterion + shortcut for p ≡ 3 (mod 4):
// s is a QR iff s ≡ s^((p+1)/2) (mod p)
// y = s^((p+1)/4) mod p
if (s === (0, _math.modPow)(s, (curve.p + 1n) / 2n, curve.p)) {
var y = (0, _math.modPow)(s, (curve.p + 1n) / 4n, curve.p);
var pt = new _point.Point(x, y, curve);
if (pt.isOnCurve()) {
return [pt, j];
}
}
}
/* istanbul ignore next -- failure probability ≈ 2⁻⁹⁹ */
throw new Error('Failed to encode message to a valid point on the curve.');
}
/**
* Decode a curve point back into the original text message.
*
* Reverses the encoding:
*
* m = (x - j) / 100
*
* Then converts integer m back to a string via base-α decomposition.
*
* @param {Point} point - The encoded point (as returned by encode).
* @param {number} j - The auxiliary value returned alongside the point.
* @returns {string} The original text message.
*/
}, {
key: "decode",
value: function decode(point, j) {
var alpha = this.alphabetSize;
var d = 100n;
var m = (point.x - BigInt(j)) / d;
var chars = [];
while (m > 0n) {
chars.push(String.fromCharCode(Number(m % alpha)));
m /= alpha;
}
return chars.join('');
}
}]);
}();
//# sourceMappingURL=data:application/json;charset=utf-8;base64,{"version":3,"names":["_point","require","_registry","_math","_typeof","o","Symbol","iterator","constructor","prototype","_classCallCheck","a","n","TypeError","_defineProperties","e","r","t","length","enumerable","configurable","writable","Object","defineProperty","_toPropertyKey","key","_createClass","i","_toPrimitive","toPrimitive","call","String","Number","Koblitz","exports","curveName","arguments","undefined","alphabetSize","freeze","get","getCurve","value","encode","message","curve","_curve","alpha","m","BigInt","charCodeAt","d","j","x","modulus","p","s","modPow","b","y","pt","Point","isOnCurve","Error","decode","point","chars","push","fromCharCode","join"],"sources":["../../../src/algorithms/koblitz.js"],"sourcesContent":["/**\n * Koblitz method for encoding/decoding messages as elliptic curve points.\n *\n * Encoding algorithm:\n *     1. Convert the message string to an integer m using base-α\n *        positional encoding (α = alphabetSize).\n *     2. For j = 1, 2, ..., d-1:\n *          x = (d·m + j) mod p\n *     3. Test if x³ + ax + b is a quadratic residue mod p.\n *     4. If yes, compute y = √(x³ + ax + b) mod p and return\n *        (Point(x, y), j).\n *\n * With d = 100 the probability of failure per attempt is ≈ 1/2, so the\n * overall failure probability after 99 attempts is ≈ 2⁻⁹⁹.\n *\n * Usage:\n *\n *     const kob = new Koblitz('secp521r1')\n *     const [point, j] = kob.encode('Hello, world!')\n *     const text = kob.decode(point, j)\n *     // text === 'Hello, world!'\n */\n\nimport { Point } from '../core/point.js'\nimport { getCurve } from '../curves/registry.js'\nimport { modPow, modulus } from '../utils/math.js'\n\n/**\n * Koblitz message encoding/decoding on an elliptic curve.\n */\nexport class Koblitz {\n  /**\n   * @param {string} [curveName='secp521r1'] - Name of the curve.\n   *   Larger curves can encode longer messages in a single point.\n   * @param {BigInt} [alphabetSize=256n]     - Character set size.\n   *   256 for ASCII, 65536 for Unicode.\n   */\n  constructor(curveName = 'secp521r1', alphabetSize = 256n) {\n    this.curveName = curveName\n    this.alphabetSize = alphabetSize\n    Object.freeze(this)\n  }\n\n  get _curve() {\n    return getCurve(this.curveName)\n  }\n\n  /**\n   * Encode a text message into a point on the curve.\n   *\n   * The message is first converted to an integer m via base-α encoding:\n   *\n   *     m = Σ  char_code(ch_i) · α^i\n   *\n   * Then Koblitz's method searches for a valid curve point:\n   *\n   *     for j = 1, 2, ..., 99:\n   *       x = (100·m + j) mod p\n   *       s = x³ + ax + b  (mod p)\n   *       if s is a quadratic residue:\n   *         y = √s mod p\n   *         return (Point(x, y), j)\n   *\n   * @param {string} message - The text to encode (limited by curve size).\n   * @returns {[Point, number]} [point, j] where j is needed for decoding.\n   * @throws {Error} If no valid point is found (probability ≈ 2⁻⁹⁹).\n   */\n  encode(message) {\n    const curve = this._curve\n    const alpha = this.alphabetSize\n\n    // Convert string → integer  (base-alpha encoding)\n    let m = 0n\n    for (let i = 0; i < message.length; i++) {\n      m += BigInt(message.charCodeAt(i)) * alpha ** BigInt(i)\n    }\n\n    // Koblitz: try x = d·m + j until y² = x³ + ax + b has a root\n    const d = 100n\n    for (let j = 1; j < 100; j++) {\n      const x = modulus(d * m + BigInt(j), curve.p)\n      const s = modulus(modPow(x, 3n, curve.p) + curve.a * x + curve.b, curve.p)\n\n      // Euler criterion + shortcut for p ≡ 3 (mod 4):\n      //   s is a QR iff s ≡ s^((p+1)/2) (mod p)\n      //   y = s^((p+1)/4) mod p\n      if (s === modPow(s, (curve.p + 1n) / 2n, curve.p)) {\n        const y = modPow(s, (curve.p + 1n) / 4n, curve.p)\n        const pt = new Point(x, y, curve)\n        if (pt.isOnCurve()) {\n          return [pt, j]\n        }\n      }\n    }\n\n    /* istanbul ignore next -- failure probability ≈ 2⁻⁹⁹ */\n    throw new Error('Failed to encode message to a valid point on the curve.')\n  }\n\n  /**\n   * Decode a curve point back into the original text message.\n   *\n   * Reverses the encoding:\n   *\n   *     m = (x - j) / 100\n   *\n   * Then converts integer m back to a string via base-α decomposition.\n   *\n   * @param {Point} point - The encoded point (as returned by encode).\n   * @param {number} j    - The auxiliary value returned alongside the point.\n   * @returns {string} The original text message.\n   */\n  decode(point, j) {\n    const alpha = this.alphabetSize\n    const d = 100n\n    let m = (point.x - BigInt(j)) / d\n\n    const chars = []\n    while (m > 0n) {\n      chars.push(String.fromCharCode(Number(m % alpha)))\n      m /= alpha\n    }\n    return chars.join('')\n  }\n}\n"],"mappings":";;;;;;AAuBA,IAAAA,MAAA,GAAAC,OAAA;AACA,IAAAC,SAAA,GAAAD,OAAA;AACA,IAAAE,KAAA,GAAAF,OAAA;AAAkD,SAAAG,QAAAC,CAAA,sCAAAD,OAAA,wBAAAE,MAAA,uBAAAA,MAAA,CAAAC,QAAA,aAAAF,CAAA,kBAAAA,CAAA,gBAAAA,CAAA,WAAAA,CAAA,yBAAAC,MAAA,IAAAD,CAAA,CAAAG,WAAA,KAAAF,MAAA,IAAAD,CAAA,KAAAC,MAAA,CAAAG,SAAA,qBAAAJ,CAAA,KAAAD,OAAA,CAAAC,CAAA;AAAA,SAAAK,gBAAAC,CAAA,EAAAC,CAAA,UAAAD,CAAA,YAAAC,CAAA,aAAAC,SAAA;AAAA,SAAAC,kBAAAC,CAAA,EAAAC,CAAA,aAAAC,CAAA,MAAAA,CAAA,GAAAD,CAAA,CAAAE,MAAA,EAAAD,CAAA,UAAAZ,CAAA,GAAAW,CAAA,CAAAC,CAAA,GAAAZ,CAAA,CAAAc,UAAA,GAAAd,CAAA,CAAAc,UAAA,QAAAd,CAAA,CAAAe,YAAA,kBAAAf,CAAA,KAAAA,CAAA,CAAAgB,QAAA,QAAAC,MAAA,CAAAC,cAAA,CAAAR,CAAA,EAAAS,cAAA,CAAAnB,CAAA,CAAAoB,GAAA,GAAApB,CAAA;AAAA,SAAAqB,aAAAX,CAAA,EAAAC,CAAA,EAAAC,CAAA,WAAAD,CAAA,IAAAF,iBAAA,CAAAC,CAAA,CAAAN,SAAA,EAAAO,CAAA,GAAAC,CAAA,IAAAH,iBAAA,CAAAC,CAAA,EAAAE,CAAA,GAAAK,MAAA,CAAAC,cAAA,CAAAR,CAAA,iBAAAM,QAAA,SAAAN,CAAA;AAAA,SAAAS,eAAAP,CAAA,QAAAU,CAAA,GAAAC,YAAA,CAAAX,CAAA,gCAAAb,OAAA,CAAAuB,CAAA,IAAAA,CAAA,GAAAA,CAAA;AAAA,SAAAC,aAAAX,CAAA,EAAAD,CAAA,oBAAAZ,OAAA,CAAAa,CAAA,MAAAA,CAAA,SAAAA,CAAA,MAAAF,CAAA,GAAAE,CAAA,CAAAX,MAAA,CAAAuB,WAAA,kBAAAd,CAAA,QAAAY,CAAA,GAAAZ,CAAA,CAAAe,IAAA,CAAAb,CAAA,EAAAD,CAAA,gCAAAZ,OAAA,CAAAuB,CAAA,UAAAA,CAAA,YAAAd,SAAA,yEAAAG,CAAA,GAAAe,MAAA,GAAAC,MAAA,EAAAf,CAAA,KAzBlD;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AAMA;AACA;AACA;AAFA,IAGagB,OAAO,GAAAC,OAAA,CAAAD,OAAA;EAClB;AACF;AACA;AACA;AACA;AACA;EACE,SAAAA,QAAA,EAA0D;IAAA,IAA9CE,SAAS,GAAAC,SAAA,CAAAlB,MAAA,QAAAkB,SAAA,QAAAC,SAAA,GAAAD,SAAA,MAAG,WAAW;IAAA,IAAEE,YAAY,GAAAF,SAAA,CAAAlB,MAAA,QAAAkB,SAAA,QAAAC,SAAA,GAAAD,SAAA,MAAG,IAAI;IAAA1B,eAAA,OAAAuB,OAAA;IACtD,IAAI,CAACE,SAAS,GAAGA,SAAS;IAC1B,IAAI,CAACG,YAAY,GAAGA,YAAY;IAChChB,MAAM,CAACiB,MAAM,CAAC,IAAI,CAAC;EACrB;EAAC,OAAAb,YAAA,CAAAO,OAAA;IAAAR,GAAA;IAAAe,GAAA,EAED,SAAAA,IAAA,EAAa;MACX,OAAO,IAAAC,kBAAQ,EAAC,IAAI,CAACN,SAAS,CAAC;IACjC;;IAEA;AACF;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;EAnBE;IAAAV,GAAA;IAAAiB,KAAA,EAoBA,SAAAC,OAAOC,OAAO,EAAE;MACd,IAAMC,KAAK,GAAG,IAAI,CAACC,MAAM;MACzB,IAAMC,KAAK,GAAG,IAAI,CAACT,YAAY;;MAE/B;MACA,IAAIU,CAAC,GAAG,EAAE;MACV,KAAK,IAAIrB,CAAC,GAAG,CAAC,EAAEA,CAAC,GAAGiB,OAAO,CAAC1B,MAAM,EAAES,CAAC,EAAE,EAAE;QACvCqB,CAAC,IAAIC,MAAM,CAACL,OAAO,CAACM,UAAU,CAACvB,CAAC,CAAC,CAAC,GAAGoB,KAAK,IAAIE,MAAM,CAACtB,CAAC,CAAC;MACzD;;MAEA;MACA,IAAMwB,CAAC,GAAG,IAAI;MACd,KAAK,IAAIC,CAAC,GAAG,CAAC,EAAEA,CAAC,GAAG,GAAG,EAAEA,CAAC,EAAE,EAAE;QAC5B,IAAMC,CAAC,GAAG,IAAAC,aAAO,EAACH,CAAC,GAAGH,CAAC,GAAGC,MAAM,CAACG,CAAC,CAAC,EAAEP,KAAK,CAACU,CAAC,CAAC;QAC7C,IAAMC,CAAC,GAAG,IAAAF,aAAO,EAAC,IAAAG,YAAM,EAACJ,CAAC,EAAE,EAAE,EAAER,KAAK,CAACU,CAAC,CAAC,GAAGV,KAAK,CAAClC,CAAC,GAAG0C,CAAC,GAAGR,KAAK,CAACa,CAAC,EAAEb,KAAK,CAACU,CAAC,CAAC;;QAE1E;QACA;QACA;QACA,IAAIC,CAAC,KAAK,IAAAC,YAAM,EAACD,CAAC,EAAE,CAACX,KAAK,CAACU,CAAC,GAAG,EAAE,IAAI,EAAE,EAAEV,KAAK,CAACU,CAAC,CAAC,EAAE;UACjD,IAAMI,CAAC,GAAG,IAAAF,YAAM,EAACD,CAAC,EAAE,CAACX,KAAK,CAACU,CAAC,GAAG,EAAE,IAAI,EAAE,EAAEV,KAAK,CAACU,CAAC,CAAC;UACjD,IAAMK,EAAE,GAAG,IAAIC,YAAK,CAACR,CAAC,EAAEM,CAAC,EAAEd,KAAK,CAAC;UACjC,IAAIe,EAAE,CAACE,SAAS,CAAC,CAAC,EAAE;YAClB,OAAO,CAACF,EAAE,EAAER,CAAC,CAAC;UAChB;QACF;MACF;;MAEA;MACA,MAAM,IAAIW,KAAK,CAAC,yDAAyD,CAAC;IAC5E;;IAEA;AACF;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;EAZE;IAAAtC,GAAA;IAAAiB,KAAA,EAaA,SAAAsB,OAAOC,KAAK,EAAEb,CAAC,EAAE;MACf,IAAML,KAAK,GAAG,IAAI,CAACT,YAAY;MAC/B,IAAMa,CAAC,GAAG,IAAI;MACd,IAAIH,CAAC,GAAG,CAACiB,KAAK,CAACZ,CAAC,GAAGJ,MAAM,CAACG,CAAC,CAAC,IAAID,CAAC;MAEjC,IAAMe,KAAK,GAAG,EAAE;MAChB,OAAOlB,CAAC,GAAG,EAAE,EAAE;QACbkB,KAAK,CAACC,IAAI,CAACpC,MAAM,CAACqC,YAAY,CAACpC,MAAM,CAACgB,CAAC,GAAGD,KAAK,CAAC,CAAC,CAAC;QAClDC,CAAC,IAAID,KAAK;MACZ;MACA,OAAOmB,KAAK,CAACG,IAAI,CAAC,EAAE,CAAC;IACvB;EAAC;AAAA","ignoreList":[]}