brainpoolP160t1.php — JetBackup – Backup, Restore & Migrate trunk

backup / src / JetBackup / 3rdparty / phpseclib3 / Crypt / EC / Curves / brainpoolP160t1.php

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brainpoolP160t1.php

50 lines

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) := (xZ^2, yZ^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	* @author Jim Wigginton <terrafrost@php.net>
22	* @copyright 2017 Jim Wigginton
23	* @license http://www.opensource.org/licenses/mit-license.html MIT License
24	* @link http://pear.php.net/package/Math_BigInteger
25	*/
26
27	declare(strict_types=1);
28
29	namespace phpseclib3\Crypt\EC\Curves;
30
31	use phpseclib3\Crypt\EC\BaseCurves\Prime;
32	use phpseclib3\Math\BigInteger;
33
34	class 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