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<?php |
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/* |
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* The MIT License (MIT) |
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* |
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* Copyright (c) 2014-2017 Spomky-Labs |
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* |
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* This software may be modified and distributed under the terms |
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* of the MIT license. See the LICENSE file for details. |
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*/ |
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namespace Jose\Component\Core\Util\Ecc; |
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/** |
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* ********************************************************************* |
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* Copyright (C) 2012 Matyas Danter. |
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* |
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* Permission is hereby granted, free of charge, to any person obtaining |
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* a copy of this software and associated documentation files (the "Software"), |
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* to deal in the Software without restriction, including without limitation |
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* the rights to use, copy, modify, merge, publish, distribute, sublicense, |
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* and/or sell copies of the Software, and to permit persons to whom the |
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* Software is furnished to do so, subject to the following conditions: |
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* |
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* The above copyright notice and this permission notice shall be included |
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* in all copies or substantial portions of the Software. |
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* |
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS |
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* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, |
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL |
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* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES |
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* OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, |
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* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR |
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* OTHER DEALINGS IN THE SOFTWARE. |
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* *********************************************************************** |
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*/ |
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/** |
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* This class encapsulates the NIST recommended curves |
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* - fields are Mersenne primes, i.e. |
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* for some p, Mersenne_prime = 2^p - 1. |
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*/ |
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final class NistCurve |
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{ |
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/** |
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* Returns an NIST P-256 curve. |
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* |
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* @return Curve |
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*/ |
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public static function curve256(): Curve |
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{ |
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$p = gmp_init('115792089210356248762697446949407573530086143415290314195533631308867097853951', 10); |
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$b = gmp_init('0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b', 16); |
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$x = gmp_init('0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296', 16); |
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$y = gmp_init('0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5', 16); |
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$order = gmp_init('115792089210356248762697446949407573529996955224135760342422259061068512044369', 10); |
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$generator = Point::create($x, $y, $order); |
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return new Curve(256, $p, gmp_init(-3, 10), $b, $generator); |
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} |
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/** |
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* Returns an NIST P-384 curve. |
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* |
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* @return Curve |
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*/ |
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public static function curve384(): Curve |
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{ |
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$p = gmp_init('39402006196394479212279040100143613805079739270465446667948293404245721771496870329047266088258938001861606973112319', 10); |
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$b = gmp_init('0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef', 16); |
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$x = gmp_init('0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7', 16); |
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$y = gmp_init('0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f', 16); |
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$order = gmp_init('39402006196394479212279040100143613805079739270465446667946905279627659399113263569398956308152294913554433653942643', 10); |
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$generator = Point::create($x, $y, $order); |
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return new Curve(384, $p, gmp_init(-3, 10), $b, $generator); |
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} |
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/** |
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* Returns an NIST P-521 curve. |
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* |
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* @return Curve |
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*/ |
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public static function curve521(): Curve |
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{ |
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$p = gmp_init('6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151', 10); |
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$b = gmp_init('0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00', 16); |
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$x = gmp_init('0xc6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66', 16); |
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$y = gmp_init('0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650', 16); |
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$order = gmp_init('6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005449', 10); |
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$generator = Point::create($x, $y, $order); |
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return new Curve(521, $p, gmp_init(-3, 10), $b, $generator); |
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} |
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} |
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Spomky-Labs /
jose
