Here is a link to my project, more details regarding the Diffie Hellman Key Exchange using MODP cyclic grous are available here, no ECP currently implemented
https://en.wikipedia.org/wiki/Diffie_hellman
I would like to know if I my code could be improved or if the BCMath implementation can pe significantly improved, because :
Using groups defined in available RFCs
- GMP code is very fast
- Group 2 : 0.03 ~ 0.05 seconds
- BCMath implementation is slow
- Group 2 : 10 ~ 15 seconds
https://github.com/cristib89/diffie-hellman
Calculation time grows exponentially as the size of the group increases
Later edit : source code below
Usage example
<?php
require "DiffieHellmanBC.inc.php";
require "DiffieHellmanGMP.inc.php";
require "MathUtils.inc.php";
set_time_limit(0);
$start = microtime(true);
$d1 = new DiffieHellmanGMP();
$d1->usePredefinedGroup("group2");
$d2 = new DiffieHellmanGMP();
$d2->usePredefinedGroup("group2");
$aux = $d1->sendLocalPublicKey();
$d2->receiveRemotePublicKey($aux);
$aux = $d2->sendLocalPublicKey();
$d1->receiveRemotePublicKey($aux);
$a=$d1->calculateSharedSecretKey();
$b=$d2->calculateSharedSecretKey();
echo "<hr/>GMP implementation <hr/>";
iF($a==$b) echo "OK"; else echo "NOK";
echo "<br/>";
print_r($d1->diagnose());
echo "<br/>";
print_r($d2->diagnose());
echo "<br/>";
echo hash("SHA1",$a);
echo "<br/>";
echo hash("SHA256",$a);
echo "<br/>";
echo hash("SHA512",$a);
echo "<br/>";
$end = microtime(true);
echo ($end-$start)." seconds";
$start = microtime(true);
$d1 = new DiffieHellmanBC();
$d1->usePredefinedGroup("group2");
$d2 = new DiffieHellmanBC();
$d2->usePredefinedGroup("group2");
$aux = $d1->sendLocalPublicKey();
$d2->receiveRemotePublicKey($aux);
$aux = $d2->sendLocalPublicKey();
$d1->receiveRemotePublicKey($aux);
$a=$d1->calculateSharedSecretKey();
$b=$d2->calculateSharedSecretKey();
echo "<hr/>BCMath implementation <hr/>";
iF($a==$b) echo "OK"; else echo "NOK";
echo "<br/>";
print_r($d1->diagnose());
echo "<br/>";
print_r($d2->diagnose());
echo "<br/>";
echo hash("SHA1",$a);
echo "<br/>";
echo hash("SHA256",$a);
echo "<br/>";
echo hash("SHA512",$a);
echo "<br/>";
$end = microtime(true);
echo ($end-$start)."seconds";
?>
BCMath implementation
<?php
class DiffieHellmanBC{
private $group = array("prime"=>"", "generator"=>"");
private $localPrivateKey, $localPublicKey, $remotePublicKey;
private $sharedSecretKey;
private $mathutils;
/*
* predefined groups
*/
private $groups = array(
"testGroup"=>array("prime"=>"17","generator"=>"5"),
"group1"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF","generator"=>"2"),
"group2"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF","generator"=>"2"),
"group5"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF","generator"=>"2"),
"group14"=>array("prime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generator"=>"2"),
"group15"=>array("prime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generator"=>"2"),
"group16"=>array("prime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generator"=>"2"),
"group17"=>array("prime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generator"=>"2"),
"group18"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA18217C32905E462E36CE3BE39E772C180E86039B2783A2EC07A28FB5C55DF06F4C52C9DE2BCBF6955817183995497CEA956AE515D2261898FA051015728E5A8AAAC42DAD33170D04507A33A85521ABDF1CBA64ECFB850458DBEF0A8AEA71575D060C7DB3970F85A6E1E4C7ABF5AE8CDB0933D71E8C94E04A25619DCEE3D2261AD2EE6BF12FFA06D98A0864D87602733EC86A64521F2B18177B200CBBE117577A615D6C770988C0BAD946E208E24FA074E5AB3143DB5BFCE0FD108E4B82D120A92108011A723C12A787E6D788719A10BDBA5B2699C327186AF4E23C1A946834B6150BDA2583E9CA2AD44CE8DBBBC2DB04DE8EF92E8EFC141FBECAA6287C59474E6BC05D99B2964FA090C3A2233BA186515BE7ED1F612970CEE2D7AFB81BDD762170481CD0069127D5B05AA993B4EA988D8FDDC186FFB7DC90A6C08F4DF435C93402849236C3FAB4D27C7026C1D4DCB2602646DEC9751E763DBA37BDF8FF9406AD9E530EE5DB382F413001AEB06A53ED9027D831179727B0865A8918DA3EDBEBCF9B14ED44CE6CBACED4BB1BDB7F1447E6CC254B332051512BD7AF426FB8F401378CD2BF5983CA01C64B92ECF032EA15D1721D03F482D7CE6E74FEF6D55E702F46980C82B5A84031900B1C9E59E7C97FBEC7E8F323A97A7E36CC88BE0F1D45B7FF585AC54BD407B22B4154AACC8F6D7EBF48E1D814CC5ED20F8037E0A79715EEF29BE32806A1D58BB7C5DA76F550AA3D8A1FBFF0EB19CCB1A313D55CDA56C9EC2EF29632387FE8D76E3C0468043E8F663F4860EE12BF2D5B0B7474D6E694F91E6DBE115974A3926F12FEE5E438777CB6A932DF8CD8BEC4D073B931BA3BC832B68D9DD300741FA7BF8AFC47ED2576F6936BA424663AAB639C5AE4F5683423B4742BF1C978238F16CBE39D652DE3FDB8BEFC848AD922222E04A4037C0713EB57A81A23F0C73473FC646CEA306B4BCBC8862F8385DDFA9D4B7FA2C087E879683303ED5BDD3A062B3CF5B3A278A66D2A13F83F44F82DDF310EE074AB6A364597E899A0255DC164F31CC50846851DF9AB48195DED7EA1B1D510BD7EE74D73FAF36BC31ECFA268359046F4EB879F924009438B481C6CD7889A002ED5EE382BC9190DA6FC026E479558E4475677E9AA9E3050E2765694DFC81F56E880B96E7160C980DD98EDD3DFFFFFFFFFFFFFFFFF","generator"=>"2"),
"group22"=>array("prime"=>"B10B8F96A080E01DDE92DE5EAE5D54EC52C99FBCFB06A3C69A6A9DCA52D23B616073E28675A23D189838EF1E2EE652C013ECB4AEA906112324975C3CD49B83BFACCBDD7D90C4BD7098488E9C219A73724EFFD6FAE5644738FAA31A4FF55BCCC0A151AF5F0DC8B4BD45BF37DF365C1A65E68CFDA76D4DA708DF1FB2BC2E4A4371","generator"=>"A4D1CBD5C3FD34126765A442EFB99905F8104DD258AC507FD6406CFF14266D31266FEA1E5C41564B777E690F5504F213160217B4B01B886A5E91547F9E2749F4D7FBD7D3B9A92EE1909D0D2263F80A76A6A24C087A091F531DBF0A0169B6A28AD662A4D18E73AFA32D779D5918D08BC8858F4DCEF97C2A24855E6EEB22B3B2E5"),
"group23"=>array("prime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generator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
"group24"=>array("prime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generator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
);
public function __construct(){
$this->mathutils = new MathUtils();
}
public function getGroup(){
/*
* returns current public group
*/
return $this->group;
}
public function setGroup($group){
/*
* sets public group
*/
$this->group["prime"] = $group["prime"];
$this->group["generator"] = $group["generator"];
}
public function getPrime(){
return $this->group["prime"];
}
public function getGenerator(){
return $this->group["generator"];
}
public function setPrime($num){
$this->group["prime"] = $num;
}
public function setGenerator($num){
$this->group["generator"] = $num;
}
public function getPredefinedGroups(){
/*
* returns predefined groups
*/
return $this->groups;
}
public function usePredefinedGroup($group){
/*
* use a predefined group
*/
$this->setGroup($this->groups[$group]);
}
public function getLocalPrivateKey(){
return $this->localPrivateKey;
}
public function getLocalPublicKey(){
return $this->localPublicKey;
}
public function getRemotePublicKey(){
return $this->remotePublicKey;
}
public function setLocalPrivateKey($num){
$this->localPrivateKey = $num;
}
public function setLocalPublicKey($num){
$this->localPublicKey = $num;
}
public function setRemotePublicKey($num){
$this->remotePublicKey = $num;
}
public function sendLocalPublicKey(){
/*
* stores localPrivateKey and returns localPublicKey
*/
$prime = $this->mathutils->bchexdec($this->getPrime());
$generator = $this->mathutils->bchexdec($this->getGenerator());
$this->localPrivateKey = $this->mathutils->bcrandom("1",$prime);
$this->localPublicKey = bcpowmod($generator,$this->localPrivateKey, $prime);
return $this->localPublicKey;
}
public function receiveRemotePublicKey($remotePublicKey){
/*
* gets remotePublicKey, used for calculation of sharedSecretKey
*/
$this->remotePublicKey = $remotePublicKey;
}
public function calculateSharedSecretKey(){
/*
* calculates sharedSecretKey
*/
$prime = $this->mathutils->bchexdec($this->getPrime());
$this->sharedSecretKey = bcpowmod($this->remotePublicKey,$this->localPrivateKey,$prime);
return $this->sharedSecretKey;
}
public function discardCryptoData(){
/*
* deletes data from memory
*/
$this->localPrivateKey = "";
$this->localPublicKey = "";
$this->remotePublicKey = "";
$this->sharedSecretKey = "";
}
public function diagnose(){
return array($this->localPrivateKey,$this->localPublicKey,$this->remotePublicKey,$this->sharedSecretKey);
}
}
?>
GMP implementation
<?php
class DiffieHellmanGMP{
private $group = array("prime"=>"", "generator"=>"");
private $localPrivateKey, $localPublicKey, $remotePublicKey;
private $sharedSecretKey;
private $mathutils;
/*
* predefined groups
*/
private $groups = array(
"testGroup"=>array("prime"=>"17","generator"=>"5"),
"group1"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A63A3620FFFFFFFFFFFFFFFF","generator"=>"2"),
"group2"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF","generator"=>"2"),
"group5"=>array("prime"=>"FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE45B3DC2007CB8A163BF0598DA48361C55D39A69163FA8FD24CF5F83655D23DCA3AD961C62F356208552BB9ED529077096966D670C354E4ABC9804F1746C08CA237327FFFFFFFFFFFFFFFF","generator"=>"2"),
"group14"=>array("prime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generator"=>"2"),
"group15"=>array("prime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generator"=>"2"),
"group16"=>array("prime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generator"=>"2"),
"group17"=>array("prime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generator"=>"2"),
"group18"=>array("prime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generator"=>"2"),
"group22"=>array("prime"=>"B10B8F96A080E01DDE92DE5EAE5D54EC52C99FBCFB06A3C69A6A9DCA52D23B616073E28675A23D189838EF1E2EE652C013ECB4AEA906112324975C3CD49B83BFACCBDD7D90C4BD7098488E9C219A73724EFFD6FAE5644738FAA31A4FF55BCCC0A151AF5F0DC8B4BD45BF37DF365C1A65E68CFDA76D4DA708DF1FB2BC2E4A4371","generator"=>"A4D1CBD5C3FD34126765A442EFB99905F8104DD258AC507FD6406CFF14266D31266FEA1E5C41564B777E690F5504F213160217B4B01B886A5E91547F9E2749F4D7FBD7D3B9A92EE1909D0D2263F80A76A6A24C087A091F531DBF0A0169B6A28AD662A4D18E73AFA32D779D5918D08BC8858F4DCEF97C2A24855E6EEB22B3B2E5"),
"group23"=>array("prime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generator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
"group24"=>array("prime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generator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
);
public function __construct(){
$this->mathutils = new MathUtils();
}
public function getGroup(){
/*
* returns current public group
*/
return $this->group;
}
public function setGroup($group){
/*
* sets public group
*/
$this->group["prime"] = $group["prime"];
$this->group["generator"] = $group["generator"];
}
public function getPrime(){
return $this->group["prime"];
}
public function getGenerator(){
return $this->group["generator"];
}
public function setPrime($num){
$this->group["prime"] = $num;
}
public function setGenerator($num){
$this->group["generator"] = $num;
}
public function getPredefinedGroups(){
/*
* returns predefined groups
*/
return $this->groups;
}
public function usePredefinedGroup($group){
/*
* use a predefined group
*/
$this->setGroup($this->groups[$group]);
}
public function getLocalPrivateKey(){
return $this->localPrivateKey;
}
public function getLocalPublicKey(){
return $this->localPublicKey;
}
public function getRemotePublicKey(){
return $this->remotePublicKey;
}
public function setLocalPrivateKey($num){
$this->localPrivateKey = $num;
}
public function setLocalPublicKey($num){
$this->localPublicKey = $num;
}
public function setRemotePublicKey($num){
$this->remotePublicKey = $num;
}
public function sendLocalPublicKey(){
/*
* stores localPrivateKey and returns localPublicKey
*/
$prime = $this->mathutils->gmphexdec($this->getPrime());
$generator = $this->mathutils->gmphexdec($this->getGenerator());
$this->localPrivateKey = $this->mathutils->gmprandom("1",$prime);
$this->localPublicKey = gmp_strval(gmp_powm($generator,$this->localPrivateKey, $prime));
return $this->localPublicKey;
}
public function receiveRemotePublicKey($remotePublicKey){
/*
* gets remotePublicKey, used for calculation of sharedSecretKey
*/
$this->remotePublicKey = gmp_strval($remotePublicKey);
}
public function calculateSharedSecretKey(){
/*
* calculates sharedSecretKey
*/
$prime = $this->mathutils->gmphexdec($this->getPrime());
$this->sharedSecretKey = gmp_strval(gmp_powm($this->remotePublicKey,$this->localPrivateKey,$prime));
return $this->sharedSecretKey;
}
public function diagnose(){
return array($this->localPrivateKey,$this->localPublicKey,$this->remotePublicKey,$this->sharedSecretKey);
}
public function discardCryptoData(){
/*
* deletes data from memory
*/
$this->localPrivateKey = "";
$this->localPublicKey = "";
$this->remotePublicKey = "";
$this->sharedSecretKey = "";
}
}
?>