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