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-# Elliptic [![Build Status](https://secure.travis-ci.org/indutny/elliptic.png)](http://travis-ci.org/indutny/elliptic) [![Coverage Status](https://coveralls.io/repos/indutny/elliptic/badge.svg?branch=master&service=github)](https://coveralls.io/github/indutny/elliptic?branch=master) [![Code Climate](https://codeclimate.com/github/indutny/elliptic/badges/gpa.svg)](https://codeclimate.com/github/indutny/elliptic)
-
-[![Saucelabs Test Status](https://saucelabs.com/browser-matrix/gh-indutny-elliptic.svg)](https://saucelabs.com/u/gh-indutny-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
-
-```bash
-$ 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
-
-```javascript
-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 the message's hash (input must be an array, or a hex-string)
-var msgHash = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ];
-var signature = key.sign(msgHash);
-
-// Export DER encoded signature in Array
-var derSign = signature.toDER();
-
-// Verify signature
-console.log(key.verify(msgHash, derSign));
-
-// CHECK WITH NO PRIVATE KEY
-
-var pubPoint = key.getPublic();
-var x = pubPoint.getX();
-var y = pubPoint.getY();
-
-// Public Key MUST be either:
-// 1) '04' + hex string of x + hex string of y; or
-// 2) object with two hex string properties (x and y); or
-// 3) object with two buffer properties (x and y)
-var pub = pubPoint.encode('hex');                                 // case 1
-var pub = { x: x.toString('hex'), y: y.toString('hex') };         // case 2
-var pub = { x: x.toBuffer(), y: y.toBuffer() };                   // case 3
-var pub = { x: x.toArrayLike(Buffer), y: y.toArrayLike(Buffer) }; // case 3
-
-// Import public key
-var key = ec.keyFromPublic(pub, 'hex');
-
-// Signature MUST be either:
-// 1) DER-encoded signature as hex-string; or
-// 2) DER-encoded signature as buffer; or
-// 3) object with two hex-string properties (r and s); or
-// 4) object with two buffer properties (r and s)
-
-var signature = '3046022100...'; // case 1
-var signature = new Buffer('...'); // case 2
-var signature = { r: 'b1fc...', s: '9c42...' }; // case 3
-
-// Verify signature
-console.log(key.verify(msgHash, signature));
-```
-
-### EdDSA
-
-```javascript
-var EdDSA = require('elliptic').eddsa;
-
-// Create and initialize EdDSA context
-// (better do it once and reuse it)
-var ec = new EdDSA('ed25519');
-
-// Create key pair from secret
-var key = ec.keyFromSecret('693e3c...'); // hex string, array or Buffer
-
-// Sign the message's hash (input must be an array, or a hex-string)
-var msgHash = [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ];
-var signature = key.sign(msgHash).toHex();
-
-// Verify signature
-console.log(key.verify(msgHash, signature));
-
-// CHECK WITH NO PRIVATE KEY
-
-// Import public key
-var pub = '0a1af638...';
-var key = ec.keyFromPublic(pub, 'hex');
-
-// Verify signature
-var signature = '70bed1...';
-console.log(key.verify(msgHash, signature));
-```
-
-### ECDH
-
-```javascript
-var EC = require('elliptic').ec;
-var ec = new EC('curve25519');
-
-// 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));
-```
-
-three and more members:
-```javascript
-var EC = require('elliptic').ec;
-var ec = new EC('curve25519');
-
-var A = ec.genKeyPair();
-var B = ec.genKeyPair();
-var C = ec.genKeyPair();
-
-var AB = A.getPublic().mul(B.getPrivate())
-var BC = B.getPublic().mul(C.getPrivate())
-var CA = C.getPublic().mul(A.getPrivate())
-
-var ABC = AB.mul(C.getPrivate())
-var BCA = BC.mul(A.getPrivate())
-var CAB = CA.mul(B.getPrivate())
-
-console.log(ABC.getX().toString(16))
-console.log(BCA.getX().toString(16))
-console.log(CAB.getX().toString(16))
-```
-
-NOTE: `.derive()` returns a [BN][1] 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`
-* `p384`
-* `p521`
-* `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][0]. 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][1], hashing is
-provided by [hash.js][2]
-
-### Related projects
-
-* [eccrypto][3]: isomorphic implementation of ECDSA, ECDH and ECIES for both
-  browserify and node (uses `elliptic` for browser and [secp256k1-node][4] 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.
-
-[0]: http://tools.ietf.org/html/rfc6979
-[1]: https://github.com/indutny/bn.js
-[2]: https://github.com/indutny/hash.js
-[3]: https://github.com/bitchan/eccrypto
-[4]: https://github.com/wanderer/secp256k1-node