50 lines
1.8 KiB
PHP
50 lines
1.8 KiB
PHP
<?php
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/**
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* brainpoolP160t1
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*
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* This curve is a twisted version of brainpoolP160r1 with A = -3. With brainpool,
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* the curves ending in r1 are the "regular" curves and the curves ending in "t1"
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* are the twisted version of the r1 curves. Per https://tools.ietf.org/html/rfc5639#page-7
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* you can convert a point on an r1 curve to a point on a t1 curve thusly:
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*
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* F(x,y) := (x*Z^2, y*Z^3)
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*
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* The advantage of A = -3 is that some of the point doubling and point addition can be
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* slightly optimized. See http://hyperelliptic.org/EFD/g1p/auto-shortw-projective-3.html
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* vs http://hyperelliptic.org/EFD/g1p/auto-shortw-projective.html for example.
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*
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* phpseclib does not currently take advantage of this optimization opportunity
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*
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* PHP version 5 and 7
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*
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* @author Jim Wigginton <terrafrost@php.net>
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* @copyright 2017 Jim Wigginton
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* @license http://www.opensource.org/licenses/mit-license.html MIT License
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* @link http://pear.php.net/package/Math_BigInteger
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*/
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declare(strict_types=1);
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namespace phpseclib3\Crypt\EC\Curves;
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use phpseclib3\Crypt\EC\BaseCurves\Prime;
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use phpseclib3\Math\BigInteger;
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class brainpoolP160t1 extends Prime
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{
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public function __construct()
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{
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$this->setModulo(new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620F', 16));
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$this->setCoefficients(
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new BigInteger('E95E4A5F737059DC60DFC7AD95B3D8139515620C', 16), // eg. -3
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new BigInteger('7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380', 16)
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);
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$this->setBasePoint(
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new BigInteger('B199B13B9B34EFC1397E64BAEB05ACC265FF2378', 16),
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new BigInteger('ADD6718B7C7C1961F0991B842443772152C9E0AD', 16)
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);
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$this->setOrder(new BigInteger('E95E4A5F737059DC60DF5991D45029409E60FC09', 16));
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}
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}
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