91 lines
2.6 KiB
PHP
91 lines
2.6 KiB
PHP
<?php
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/**
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* Curve448
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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 2019 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\Montgomery;
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use phpseclib3\Math\BigInteger;
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class Curve448 extends Montgomery
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{
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public function __construct()
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{
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// 2^448 - 2^224 - 1
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$this->setModulo(new BigInteger(
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'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE' .
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'FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF',
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16
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));
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$this->a24 = $this->factory->newInteger(new BigInteger('39081'));
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$this->p = [$this->factory->newInteger(new BigInteger(5))];
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// 2^446 - 0x8335dc163bb124b65129c96fde933d8d723a70aadc873d6d54a7bb0d
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$this->setOrder(new BigInteger(
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'3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF' .
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'7CCA23E9C44EDB49AED63690216CC2728DC58F552378C292AB5844F3',
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16
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));
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/*
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$this->setCoefficients(
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new BigInteger('156326'), // a
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);
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$this->setBasePoint(
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new BigInteger(5),
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new BigInteger(
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'355293926785568175264127502063783334808976399387714271831880898' .
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'435169088786967410002932673765864550910142774147268105838985595290' .
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'606362')
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);
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*/
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}
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/**
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* Multiply a point on the curve by a scalar
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*
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* Modifies the scalar as described at https://tools.ietf.org/html/rfc7748#page-8
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*/
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public function multiplyPoint(array $p, BigInteger $d): array
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{
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//$r = strrev(sodium_crypto_scalarmult($d->toBytes(), strrev($p[0]->toBytes())));
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//return [$this->factory->newInteger(new BigInteger($r, 256))];
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$d = $d->toBytes();
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$d[0] = $d[0] & "\xFC";
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$d = strrev($d);
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$d |= "\x80";
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$d = new BigInteger($d, 256);
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return parent::multiplyPoint($p, $d);
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}
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/**
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* Creates a random scalar multiplier
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*/
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public function createRandomMultiplier(): BigInteger
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{
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return BigInteger::random(446);
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}
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/**
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* Performs range check
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*/
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public function rangeCheck(BigInteger $x): void
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{
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if ($x->getLength() > 448 || $x->isNegative()) {
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throw new \RangeException('x must be a positive integer less than 446 bytes in length');
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}
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}
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}
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