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<?php
/**
* Pure-PHP (EC)DH implementation
*
* PHP version 5
*
* Here's an example of how to compute a shared secret with this library:
* <code>
* <?php
* include 'vendor/autoload.php';
*
* $ourPrivate = \phpseclib3\Crypt\DH::createKey();
* $secret = DH::computeSecret($ourPrivate, $theirPublic);
*
* ?>
* </code>
*
* @author Jim Wigginton <terrafrost@php.net>
* @copyright 2016 Jim Wigginton
* @license http://www.opensource.org/licenses/mit-license.html MIT License
* @link http://phpseclib.sourceforge.net
*/
namespace phpseclib3\Crypt;
use phpseclib3\Crypt\Common\AsymmetricKey;
use phpseclib3\Crypt\DH\Parameters;
use phpseclib3\Crypt\DH\PrivateKey;
use phpseclib3\Crypt\DH\PublicKey;
use phpseclib3\Exception\NoKeyLoadedException;
use phpseclib3\Exception\UnsupportedOperationException;
use phpseclib3\Math\BigInteger;
/**
* Pure-PHP (EC)DH implementation
*
* @author Jim Wigginton <terrafrost@php.net>
*/
abstract class DH extends AsymmetricKey
{
/**
* Algorithm Name
*
* @var string
*/
const ALGORITHM = 'DH';
/**
* DH prime
*
* @var \phpseclib3\Math\BigInteger
*/
protected $prime;
/**
* DH Base
*
* Prime divisor of p-1
*
* @var \phpseclib3\Math\BigInteger
*/
protected $base;
/**
* Public Key
*
* @var \phpseclib3\Math\BigInteger
*/
protected $publicKey;
/**
* Create DH parameters
*
* This method is a bit polymorphic. It can take any of the following:
* - two BigInteger's (prime and base)
* - an integer representing the size of the prime in bits (the base is assumed to be 2)
* - a string (eg. diffie-hellman-group14-sha1)
*
* @return Parameters
*/
public static function createParameters(...$args)
{
$class = new \ReflectionClass(static::class);
if ($class->isFinal()) {
throw new \RuntimeException('createParameters() should not be called from final classes (' . static::class . ')');
}
$params = new Parameters();
if (count($args) == 2 && $args[0] instanceof BigInteger && $args[1] instanceof BigInteger) {
//if (!$args[0]->isPrime()) {
// throw new \InvalidArgumentException('The first parameter should be a prime number');
//}
$params->prime = $args[0];
$params->base = $args[1];
return $params;
} elseif (count($args) == 1 && is_numeric($args[0])) {
$params->prime = BigInteger::randomPrime($args[0]);
$params->base = new BigInteger(2);
return $params;
} elseif (count($args) != 1 || !is_string($args[0])) {
throw new \InvalidArgumentException('Valid parameters are either: two BigInteger\'s (prime and base), a single integer (the length of the prime; base is assumed to be 2) or a string');
}
switch ($args[0]) {
// see http://tools.ietf.org/html/rfc2409#section-6.2 and
// http://tools.ietf.org/html/rfc2412, appendex E
case 'diffie-hellman-group1-sha1':
$prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
'020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
'4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF';
break;
// see http://tools.ietf.org/html/rfc3526#section-3
case 'diffie-hellman-group14-sha1': // 2048-bit MODP Group
case 'diffie-hellman-group14-sha256':
$prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
'020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
'4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
'98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
'9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
'3995497CEA956AE515D2261898FA051015728E5A8AACAA68FFFFFFFFFFFFFFFF';
break;
// see https://tools.ietf.org/html/rfc3526#section-4
case 'diffie-hellman-group15-sha512': // 3072-bit MODP Group
$prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
'020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
'4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
'98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
'9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
'3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
'08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A93AD2CAFFFFFFFFFFFFFFFF';
break;
// see https://tools.ietf.org/html/rfc3526#section-5
case 'diffie-hellman-group16-sha512': // 4096-bit MODP Group
$prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
'020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
'4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
'98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
'9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
'3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
'08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7' .
'88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8' .
'DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2' .
'233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9' .
'93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C934063199FFFFFFFFFFFFFFFF';
break;
// see https://tools.ietf.org/html/rfc3526#section-6
case 'diffie-hellman-group17-sha512': // 6144-bit MODP Group
$prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
'020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
'4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
'98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
'9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
'3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
'08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7' .
'88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8' .
'DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2' .
'233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9' .
'93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C93402849236C3FAB4D27C7026' .
'C1D4DCB2602646DEC9751E763DBA37BDF8FF9406AD9E530EE5DB382F413001AE' .
'B06A53ED9027D831179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B' .
'DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF5983CA01C64B92EC' .
'F032EA15D1721D03F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E' .
'59E7C97FBEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA' .
'CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58BB7C5DA76' .
'F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632387FE8D76E3C0468' .
'043E8F663F4860EE12BF2D5B0B7474D6E694F91E6DCC4024FFFFFFFFFFFFFFFF';
break;
// see https://tools.ietf.org/html/rfc3526#section-7
case 'diffie-hellman-group18-sha512': // 8192-bit MODP Group
$prime = 'FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74' .
'020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F1437' .
'4FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED' .
'EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF05' .
'98DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB' .
'9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3B' .
'E39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF695581718' .
'3995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33' .
'A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7' .
'ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864' .
'D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E2' .
'08E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D7' .
'88719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8' .
'DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2' .
'233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA9' .
'93B4EA988D8FDDC186FFB7DC90A6C08F4DF435C93402849236C3FAB4D27C7026' .
'C1D4DCB2602646DEC9751E763DBA37BDF8FF9406AD9E530EE5DB382F413001AE' .
'B06A53ED9027D831179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1B' .
'DB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF5983CA01C64B92EC' .
'F032EA15D1721D03F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E' .
'59E7C97FBEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AA' .
'CC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58BB7C5DA76' .
'F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632387FE8D76E3C0468' .
'043E8F663F4860EE12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E4' .
'38777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300741FA7BF8AFC47ED' .
'2576F6936BA424663AAB639C5AE4F5683423B4742BF1C978238F16CBE39D652D' .
'E3FDB8BEFC848AD922222E04A4037C0713EB57A81A23F0C73473FC646CEA306B' .
'4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A062B3CF5B3A278A6' .
'6D2A13F83F44F82DDF310EE074AB6A364597E899A0255DC164F31CC50846851D' .
'F9AB48195DED7EA1B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F92' .
'4009438B481C6CD7889A002ED5EE382BC9190DA6FC026E479558E4475677E9AA' .
'9E3050E2765694DFC81F56E880B96E7160C980DD98EDD3DFFFFFFFFFFFFFFFFF';
break;
default:
throw new \InvalidArgumentException('Invalid named prime provided');
}
$params->prime = new BigInteger($prime, 16);
$params->base = new BigInteger(2);
return $params;
}
/**
* Create public / private key pair.
*
* The rationale for the second parameter is described in http://tools.ietf.org/html/rfc4419#section-6.2 :
*
* "To increase the speed of the key exchange, both client and server may
* reduce the size of their private exponents. It should be at least
* twice as long as the key material that is generated from the shared
* secret. For more details, see the paper by van Oorschot and Wiener
* [VAN-OORSCHOT]."
*
* $length is in bits
*
* @param Parameters $params
* @param int $length optional
* @return DH\PrivateKey
*/
public static function createKey(Parameters $params, $length = 0)
{
$class = new \ReflectionClass(static::class);
if ($class->isFinal()) {
throw new \RuntimeException('createKey() should not be called from final classes (' . static::class . ')');
}
$one = new BigInteger(1);
if ($length) {
$max = $one->bitwise_leftShift($length);
$max = $max->subtract($one);
} else {
$max = $params->prime->subtract($one);
}
$key = new PrivateKey();
$key->prime = $params->prime;
$key->base = $params->base;
$key->privateKey = BigInteger::randomRange($one, $max);
$key->publicKey = $key->base->powMod($key->privateKey, $key->prime);
return $key;
}
/**
* Compute Shared Secret
*
* @param PrivateKey|EC $private
* @param PublicKey|BigInteger|string $public
* @return mixed
*/
public static function computeSecret($private, $public)
{
if ($private instanceof PrivateKey) { // DH\PrivateKey
switch (true) {
case $public instanceof PublicKey:
if (!$private->prime->equals($public->prime) || !$private->base->equals($public->base)) {
throw new \InvalidArgumentException('The public and private key do not share the same prime and / or base numbers');
}
return $public->publicKey->powMod($private->privateKey, $private->prime)->toBytes(true);
case is_string($public):
$public = new BigInteger($public, -256);
// fall-through
case $public instanceof BigInteger:
return $public->powMod($private->privateKey, $private->prime)->toBytes(true);
default:
throw new \InvalidArgumentException('$public needs to be an instance of DH\PublicKey, a BigInteger or a string');
}
}
if ($private instanceof EC\PrivateKey) {
switch (true) {
case $public instanceof EC\PublicKey:
$public = $public->getEncodedCoordinates();
// fall-through
case is_string($public):
$point = $private->multiply($public);
switch ($private->getCurve()) {
case 'Curve25519':
case 'Curve448':
$secret = $point;
break;
default:
// according to https://www.secg.org/sec1-v2.pdf#page=33 only X is returned
$secret = substr($point, 1, (strlen($point) - 1) >> 1);
}
/*
if (($secret[0] & "\x80") === "\x80") {
$secret = "\0$secret";
}
*/
return $secret;
default:
throw new \InvalidArgumentException('$public needs to be an instance of EC\PublicKey or a string (an encoded coordinate)');
}
}
}
/**
* Load the key
*
* @param string $key
* @param string $password optional
* @return AsymmetricKey
*/
public static function load($key, $password = false)
{
try {
return EC::load($key, $password);
} catch (NoKeyLoadedException $e) {
}
return parent::load($key, $password);
}
/**
* OnLoad Handler
*
* @return bool
*/
protected static function onLoad(array $components)
{
if (!isset($components['privateKey']) && !isset($components['publicKey'])) {
$new = new Parameters();
} else {
$new = isset($components['privateKey']) ?
new PrivateKey() :
new PublicKey();
}
$new->prime = $components['prime'];
$new->base = $components['base'];
if (isset($components['privateKey'])) {
$new->privateKey = $components['privateKey'];
}
if (isset($components['publicKey'])) {
$new->publicKey = $components['publicKey'];
}
return $new;
}
/**
* Determines which hashing function should be used
*
* @param string $hash
*/
public function withHash($hash)
{
throw new UnsupportedOperationException('DH does not use a hash algorithm');
}
/**
* Returns the hash algorithm currently being used
*
*/
public function getHash()
{
throw new UnsupportedOperationException('DH does not use a hash algorithm');
}
/**
* Returns the parameters
*
* A public / private key is only returned if the currently loaded "key" contains an x or y
* value.
*
* @see self::getPublicKey()
* @return mixed
*/
public function getParameters()
{
$type = DH::validatePlugin('Keys', 'PKCS1', 'saveParameters');
$key = $type::saveParameters($this->prime, $this->base);
return DH::load($key, 'PKCS1');
}
}
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