1<?php
2
3/**
4 * brainpoolP160t1
5 *
6 * This curve is a twisted version of brainpoolP160r1 with A = -3. With brainpool,
7 * the curves ending in r1 are the "regular" curves and the curves ending in "t1"
8 * are the twisted version of the r1 curves. Per https://tools.ietf.org/html/rfc5639#page-7
9 * you can convert a point on an r1 curve to a point on a t1 curve thusly:
10 *
11 *     F(x,y) := (x*Z^2, y*Z^3)
12 *
13 * The advantage of A = -3 is that some of the point doubling and point addition can be
14 * slightly optimized. See http://hyperelliptic.org/EFD/g1p/auto-shortw-projective-3.html
15 * vs http://hyperelliptic.org/EFD/g1p/auto-shortw-projective.html for example.
16 *
17 * phpseclib does not currently take advantage of this optimization opportunity
18 *
19 * PHP version 5 and 7
20 *
21 * @category  Crypt
22 * @package   EC
23 * @author    Jim Wigginton <terrafrost@php.net>
24 * @copyright 2017 Jim Wigginton
25 * @license   http://www.opensource.org/licenses/mit-license.html  MIT License
26 * @link      http://pear.php.net/package/Math_BigInteger
27 */
28
29namespace phpseclib3\Crypt\EC\Curves;
30
31use phpseclib3\Crypt\EC\BaseCurves\Prime;
32use phpseclib3\Math\BigInteger;
33
34class brainpoolP160t1 extends Prime
35{
36    public function __construct()
37    {
38        $this->setModulo(new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620F', 16));
39        $this->setCoefficients(
40            new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620C', 16), // eg. -3
41            new BigInteger('7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380', 16)
42        );
43        $this->setBasePoint(
44            new BigInteger('B199B13B9B34EFC1397E64BAEB05ACC265FF2378', 16),
45            new BigInteger('ADD6718B7C7C1961F0991B842443772152C9E0AD', 16)
46        );
47        $this->setOrder(new BigInteger('E95E4A5F737059DC60DF5991D45029409E60FC09', 16));
48    }
49}
50