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