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.
112 lines (103 loc) • 18.8 kB
JavaScript
;
var _globals = require("@jest/globals");
var _diffie_hellman = require("./protocols/diffie_hellman");
var _massey_omura = require("./protocols/massey_omura");
var _koblitz = require("./algorithms/koblitz");
var _registry = require("./curves/registry");
function _slicedToArray(r, e) { return _arrayWithHoles(r) || _iterableToArrayLimit(r, e) || _unsupportedIterableToArray(r, e) || _nonIterableRest(); }
function _nonIterableRest() { throw new TypeError("Invalid attempt to destructure non-iterable instance.\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method."); }
function _unsupportedIterableToArray(r, a) { if (r) { if ("string" == typeof r) return _arrayLikeToArray(r, a); var t = {}.toString.call(r).slice(8, -1); return "Object" === t && r.constructor && (t = r.constructor.name), "Map" === t || "Set" === t ? Array.from(r) : "Arguments" === t || /^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(t) ? _arrayLikeToArray(r, a) : void 0; } }
function _arrayLikeToArray(r, a) { (null == a || a > r.length) && (a = r.length); for (var e = 0, n = Array(a); e < a; e++) n[e] = r[e]; return n; }
function _iterableToArrayLimit(r, l) { var t = null == r ? null : "undefined" != typeof Symbol && r[Symbol.iterator] || r["@@iterator"]; if (null != t) { var e, n, i, u, a = [], f = !0, o = !1; try { if (i = (t = t.call(r)).next, 0 === l) { if (Object(t) !== t) return; f = !1; } else for (; !(f = (e = i.call(t)).done) && (a.push(e.value), a.length !== l); f = !0); } catch (r) { o = !0, n = r; } finally { try { if (!f && null != t["return"] && (u = t["return"](), Object(u) !== u)) return; } finally { if (o) throw n; } } return a; } }
function _arrayWithHoles(r) { if (Array.isArray(r)) return r; }
// ---------------------------------------------------------------------------
// Elliptic Curve Diffie-Hellman (ECDH)
//
// Protocol:
// 1. Alice: H_A = d_A · G
// 2. Bob: H_B = d_B · G
// 3. Shared secret: S = d_A · H_B = d_B · H_A = d_A · d_B · G
//
// Security: relies on the Elliptic Curve Discrete Logarithm Problem (ECDLP).
// Given G and Q = d·G, recovering d is computationally infeasible.
// ---------------------------------------------------------------------------
(0, _globals.describe)('Diffie-Hellman key exchange', function () {
(0, _globals.test)('both parties compute the same shared secret', function () {
var alice = new _diffie_hellman.DiffieHellman(12345n);
var bob = new _diffie_hellman.DiffieHellman(67890n);
// S_A = d_A · H_B = d_A · d_B · G
var secretAlice = alice.computeSharedSecret(bob.publicKey);
// S_B = d_B · H_A = d_B · d_A · G
var secretBob = bob.computeSharedSecret(alice.publicKey);
(0, _globals.expect)(secretAlice.x).toBe(secretBob.x);
(0, _globals.expect)(secretAlice.y).toBe(secretBob.y);
});
(0, _globals.test)('default curve is secp256k1', function () {
(0, _globals.expect)(new _diffie_hellman.DiffieHellman(1n).curveName).toBe('secp256k1');
});
// H = d·G must satisfy y² ≡ x³ + ax + b (mod p)
(0, _globals.test)('public key lies on the curve', function () {
(0, _globals.expect)(new _diffie_hellman.DiffieHellman(42n).publicKey.isOnCurve()).toBe(true);
});
});
// ---------------------------------------------------------------------------
// Massey-Omura three-pass protocol
//
// Allows two parties to exchange a secret point M without sharing keys
// beforehand. Each party uses only their own private key.
//
// Three-pass flow:
// 1. Alice encrypts: C₁ = e_A · M
// 2. Bob encrypts: C₂ = e_B · C₁
// 3. Alice decrypts: C₃ = e_A⁻¹ · C₂
// 4. Bob decrypts: M = e_B⁻¹ · C₃
//
// Works because scalar multiplication is commutative:
// e_A · (e_B · M) = e_B · (e_A · M)
//
// Requirement: gcd(private_key, n) = 1 (so that e⁻¹ mod n exists)
// ---------------------------------------------------------------------------
(0, _globals.describe)('Massey-Omura three-pass protocol', function () {
(0, _globals.test)('complete encryption/decryption cycle recovers original message', function () {
var sender = new _massey_omura.MasseyOmura(123456n);
var receiver = new _massey_omura.MasseyOmura(654321n);
var message = (0, _registry.getGenerator)(sender.curveName);
// C₁ = e_sender · M
var c1 = sender.encrypt(message);
// C₂ = e_receiver · C₁
var c2 = receiver.encrypt(c1);
// C₃ = e_sender⁻¹ · C₂ (removes sender's encryption)
var c3 = sender.decrypt(c2);
// M = e_receiver⁻¹ · C₃ (removes receiver's encryption)
var recovered = receiver.decrypt(c3);
(0, _globals.expect)(recovered.x).toBe(message.x);
(0, _globals.expect)(recovered.y).toBe(message.y);
});
// d·G must lie on the curve
(0, _globals.test)('point multiplication with private key produces on-curve point', function () {
var mo = new _massey_omura.MasseyOmura(123456n);
var G = (0, _registry.getGenerator)(mo.curveName);
(0, _globals.expect)(G.mul(123456n).isOnCurve()).toBe(true);
});
(0, _globals.test)('default curve is secp521r1', function () {
(0, _globals.expect)(new _massey_omura.MasseyOmura(1n).curveName).toBe('secp521r1');
});
// Full end-to-end with Koblitz encoding
(0, _globals.test)('three-pass exchange with Koblitz-encoded message', function () {
var koblitz = new _koblitz.Koblitz('secp521r1');
var _koblitz$encode = koblitz.encode('Hello!'),
_koblitz$encode2 = _slicedToArray(_koblitz$encode, 2),
message = _koblitz$encode2[0],
j = _koblitz$encode2[1];
var alice = new _massey_omura.MasseyOmura(0xa1n, 'secp521r1');
var bob = new _massey_omura.MasseyOmura(0xb2n, 'secp521r1');
var c1 = alice.encrypt(message);
var c2 = bob.encrypt(c1);
var c3 = alice.decrypt(c2);
var plaintext = bob.decrypt(c3);
(0, _globals.expect)(plaintext.x).toBe(message.x);
(0, _globals.expect)(plaintext.y).toBe(message.y);
(0, _globals.expect)(koblitz.decode(plaintext, j)).toBe('Hello!');
});
});
//# sourceMappingURL=data:application/json;charset=utf-8;base64,{"version":3,"names":["_globals","require","_diffie_hellman","_massey_omura","_koblitz","_registry","_slicedToArray","r","e","_arrayWithHoles","_iterableToArrayLimit","_unsupportedIterableToArray","_nonIterableRest","TypeError","a","_arrayLikeToArray","t","toString","call","slice","constructor","name","Array","from","test","length","n","l","Symbol","iterator","i","u","f","o","next","Object","done","push","value","isArray","describe","alice","DiffieHellman","bob","secretAlice","computeSharedSecret","publicKey","secretBob","expect","x","toBe","y","curveName","isOnCurve","sender","MasseyOmura","receiver","message","getGenerator","c1","encrypt","c2","c3","decrypt","recovered","mo","G","mul","koblitz","Koblitz","_koblitz$encode","encode","_koblitz$encode2","j","plaintext","decode"],"sources":["../../src/protocols.test.js"],"sourcesContent":["import { test, expect, describe } from '@jest/globals'\nimport { DiffieHellman } from './protocols/diffie_hellman'\nimport { MasseyOmura } from './protocols/massey_omura'\nimport { Koblitz } from './algorithms/koblitz'\nimport { getGenerator } from './curves/registry'\n\n// ---------------------------------------------------------------------------\n// Elliptic Curve Diffie-Hellman (ECDH)\n//\n// Protocol:\n//   1. Alice:  H_A = d_A · G\n//   2. Bob:    H_B = d_B · G\n//   3. Shared secret:  S = d_A · H_B = d_B · H_A = d_A · d_B · G\n//\n// Security: relies on the Elliptic Curve Discrete Logarithm Problem (ECDLP).\n// Given G and Q = d·G, recovering d is computationally infeasible.\n// ---------------------------------------------------------------------------\n\ndescribe('Diffie-Hellman key exchange', () => {\n  test('both parties compute the same shared secret', () => {\n    const alice = new DiffieHellman(12345n)\n    const bob = new DiffieHellman(67890n)\n\n    // S_A = d_A · H_B = d_A · d_B · G\n    const secretAlice = alice.computeSharedSecret(bob.publicKey)\n    // S_B = d_B · H_A = d_B · d_A · G\n    const secretBob = bob.computeSharedSecret(alice.publicKey)\n\n    expect(secretAlice.x).toBe(secretBob.x)\n    expect(secretAlice.y).toBe(secretBob.y)\n  })\n\n  test('default curve is secp256k1', () => {\n    expect(new DiffieHellman(1n).curveName).toBe('secp256k1')\n  })\n\n  // H = d·G must satisfy y² ≡ x³ + ax + b (mod p)\n  test('public key lies on the curve', () => {\n    expect(new DiffieHellman(42n).publicKey.isOnCurve()).toBe(true)\n  })\n})\n\n// ---------------------------------------------------------------------------\n// Massey-Omura three-pass protocol\n//\n// Allows two parties to exchange a secret point M without sharing keys\n// beforehand.  Each party uses only their own private key.\n//\n// Three-pass flow:\n//   1. Alice encrypts:   C₁ = e_A · M\n//   2. Bob encrypts:     C₂ = e_B · C₁\n//   3. Alice decrypts:   C₃ = e_A⁻¹ · C₂\n//   4. Bob decrypts:     M  = e_B⁻¹ · C₃\n//\n// Works because scalar multiplication is commutative:\n//   e_A · (e_B · M) = e_B · (e_A · M)\n//\n// Requirement: gcd(private_key, n) = 1  (so that e⁻¹ mod n exists)\n// ---------------------------------------------------------------------------\n\ndescribe('Massey-Omura three-pass protocol', () => {\n  test('complete encryption/decryption cycle recovers original message', () => {\n    const sender = new MasseyOmura(123456n)\n    const receiver = new MasseyOmura(654321n)\n\n    const message = getGenerator(sender.curveName)\n\n    // C₁ = e_sender · M\n    const c1 = sender.encrypt(message)\n    // C₂ = e_receiver · C₁\n    const c2 = receiver.encrypt(c1)\n    // C₃ = e_sender⁻¹ · C₂  (removes sender's encryption)\n    const c3 = sender.decrypt(c2)\n    // M  = e_receiver⁻¹ · C₃  (removes receiver's encryption)\n    const recovered = receiver.decrypt(c3)\n\n    expect(recovered.x).toBe(message.x)\n    expect(recovered.y).toBe(message.y)\n  })\n\n  // d·G must lie on the curve\n  test('point multiplication with private key produces on-curve point', () => {\n    const mo = new MasseyOmura(123456n)\n    const G = getGenerator(mo.curveName)\n    expect(G.mul(123456n).isOnCurve()).toBe(true)\n  })\n\n  test('default curve is secp521r1', () => {\n    expect(new MasseyOmura(1n).curveName).toBe('secp521r1')\n  })\n\n  // Full end-to-end with Koblitz encoding\n  test('three-pass exchange with Koblitz-encoded message', () => {\n    const koblitz = new Koblitz('secp521r1')\n    const [message, j] = koblitz.encode('Hello!')\n\n    const alice = new MasseyOmura(0xa1n, 'secp521r1')\n    const bob = new MasseyOmura(0xb2n, 'secp521r1')\n\n    const c1 = alice.encrypt(message)\n    const c2 = bob.encrypt(c1)\n    const c3 = alice.decrypt(c2)\n    const plaintext = bob.decrypt(c3)\n\n    expect(plaintext.x).toBe(message.x)\n    expect(plaintext.y).toBe(message.y)\n    expect(koblitz.decode(plaintext, j)).toBe('Hello!')\n  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