@exodus/elliptic

Elliptic

Fast elliptic-curve cryptography in a plain javascript implementation.

NOTE: Please take a look at http://safecurves.cr.yp.to/ before choosing a curve for your cryptography operations.

Incentive

ECC is much slower than regular RSA cryptography, the JS implementations are even more slower.

Benchmarks

$ node benchmarks/index.js
Benchmarking: sign
elliptic#sign x 262 ops/sec ±0.51% (177 runs sampled)
eccjs#sign x 55.91 ops/sec ±0.90% (144 runs sampled)
------------------------
Fastest is elliptic#sign
========================
Benchmarking: verify
elliptic#verify x 113 ops/sec ±0.50% (166 runs sampled)
eccjs#verify x 48.56 ops/sec ±0.36% (125 runs sampled)
------------------------
Fastest is elliptic#verify
========================
Benchmarking: gen
elliptic#gen x 294 ops/sec ±0.43% (176 runs sampled)
eccjs#gen x 62.25 ops/sec ±0.63% (129 runs sampled)
------------------------
Fastest is elliptic#gen
========================
Benchmarking: ecdh
elliptic#ecdh x 136 ops/sec ±0.85% (156 runs sampled)
------------------------
Fastest is elliptic#ecdh
========================

API

ECDSA

var EC = require('elliptic').ec;

// Create and initialize EC context
// (better do it once and reuse it)
var ec = new EC('secp256k1');

// Generate keys
var key = ec.genKeyPair();

// Sign message (must be an array, or it'll be treated as a hex sequence)
var msg = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ];
var signature = key.sign(msg);

// Export DER encoded signature in Array
var derSign = signature.toDER();

// Verify signature
console.log(key.verify(msg, derSign));

ECDH

// Generate keys
var key1 = ec.genKeyPair();
var key2 = ec.genKeyPair();

var shared1 = key1.derive(key2.getPublic());
var shared2 = key2.derive(key1.getPublic());

console.log('Both shared secrets are BN instances');
console.log(shared1.toString(16));
console.log(shared2.toString(16));

NOTE: .derive() returns a BN instance.

Supported curves

Elliptic.js support following curve types:

• Short Weierstrass
• Montgomery
• Edwards
• Twisted Edwards

Following curve 'presets' are embedded into the library:

• secp256k1
• p192
• p224
• p256
• curve25519
• ed25519

NOTE: That curve25519 could not be used for ECDSA, use ed25519 instead.

Implementation details

ECDSA is using deterministic k value generation as per RFC6979. Most of the curve operations are performed on non-affine coordinates (either projective or extended), various windowing techniques are used for different cases.

All operations are performed in reduction context using bn.js, hashing is provided by hash.js

Related projects

• eccrypto: isomorphic implementation of ECDSA, ECDH and ECIES for both browserify and node (uses elliptic for browser and secp256k1-node for node)

LICENSE

This software is licensed under the MIT License.

Copyright Fedor Indutny, 2014.

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.