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crypto: add function getDiffieHellman() 

Returns a well known, predefined RFC group.
v0.9.1-release
Tomasz Buchert 13 years ago
committed by Ben Noordhuis
parent
19133cac02
commit
c6a04ce78f
5 changed files with 544 additions and 1 deletions
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  1. 30
      doc/api/crypto.markdown
  2. 4
      lib/crypto.js
  3. 55
      src/node_crypto.cc
  4. 386
      src/node_crypto_groups.h
  5. 70
      test/simple/test-crypto-dh.js

30
doc/api/crypto.markdown
View File

@ -264,6 +264,36 @@ or `'base64'`. Defaults to `'binary'`.
Sets the Diffie-Hellman private key. Key encoding can be `'binary'`, `'hex'`, Sets the Diffie-Hellman private key. Key encoding can be `'binary'`, `'hex'`,
or `'base64'`. Defaults to `'binary'`. or `'base64'`. Defaults to `'binary'`.
### crypto.getDiffieHellman(group_name)
Creates a predefined Diffie-Hellman key exchange object.
The supported groups are: `'modp1'`, `'modp2'`, `'modp5'`
(defined in [RFC 2412](http://www.rfc-editor.org/rfc/rfc2412.txt ))
and `'modp14'`, `'modp15'`, `'modp16'`, `'modp17'`, `'modp18'`
(defined in [RFC 3526](http://www.rfc-editor.org/rfc/rfc3526.txt )).
The returned object mimics the interface of objects created by
[crypto.createDiffieHellman()](#crypto.createDiffieHellman) above, but
will not allow to change the keys (with
[diffieHellman.setPublicKey()](#diffieHellman.setPublicKey) for example).
The advantage of using this routine is that the parties don't have to
generate nor exchange group modulus beforehand, saving both processor and
communication time.
Example (obtaining a shared secret):
var crypto = require('crypto');
var alice = crypto.getDiffieHellman('modp5');
var bob = crypto.getDiffieHellman('modp5');
alice.generateKeys();
bob.generateKeys();
var alice_secret = alice.computeSecret(bob.getPublicKey(), 'binary', 'hex');
var bob_secret = bob.computeSecret(alice.getPublicKey(), 'binary', 'hex');
/* alice_secret and bob_secret should be the same */
console.log(alice_secret == bob_secret);
### pbkdf2(password, salt, iterations, keylen, callback) ### pbkdf2(password, salt, iterations, keylen, callback)
Asynchronous PBKDF2 applies pseudorandom function HMAC-SHA1 to derive Asynchronous PBKDF2 applies pseudorandom function HMAC-SHA1 to derive

4
lib/crypto.js
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@ -30,6 +30,7 @@ try {
var Sign = binding.Sign; var Sign = binding.Sign;
var Verify = binding.Verify; var Verify = binding.Verify;
var DiffieHellman = binding.DiffieHellman; var DiffieHellman = binding.DiffieHellman;
var DiffieHellmanGroup = binding.DiffieHellmanGroup;
var PBKDF2 = binding.PBKDF2; var PBKDF2 = binding.PBKDF2;
var randomBytes = binding.randomBytes; var randomBytes = binding.randomBytes;
var pseudoRandomBytes = binding.pseudoRandomBytes; var pseudoRandomBytes = binding.pseudoRandomBytes;
@ -173,6 +174,9 @@ exports.createDiffieHellman = function(size_or_key, enc) {
} }
}; };
exports.getDiffieHellman = function(group_name) {
return new DiffieHellmanGroup(group_name);
};
exports.pbkdf2 = PBKDF2; exports.pbkdf2 = PBKDF2;

55
src/node_crypto.cc
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@ -20,6 +20,7 @@
// USE OR OTHER DEALINGS IN THE SOFTWARE. // USE OR OTHER DEALINGS IN THE SOFTWARE.
#include <node_crypto.h> #include <node_crypto.h>
#include <node_crypto_groups.h>
#include <v8.h> #include <v8.h>
#include <node.h> #include <node.h>
@ -3535,6 +3536,18 @@ class DiffieHellman : public ObjectWrap {
NODE_SET_PROTOTYPE_METHOD(t, "setPrivateKey", SetPrivateKey); NODE_SET_PROTOTYPE_METHOD(t, "setPrivateKey", SetPrivateKey);
target->Set(String::NewSymbol("DiffieHellman"), t->GetFunction()); target->Set(String::NewSymbol("DiffieHellman"), t->GetFunction());
Local<FunctionTemplate> t2 = FunctionTemplate::New(DiffieHellmanGroup);
t2->InstanceTemplate()->SetInternalFieldCount(1);
NODE_SET_PROTOTYPE_METHOD(t2, "generateKeys", GenerateKeys);
NODE_SET_PROTOTYPE_METHOD(t2, "computeSecret", ComputeSecret);
NODE_SET_PROTOTYPE_METHOD(t2, "getPrime", GetPrime);
NODE_SET_PROTOTYPE_METHOD(t2, "getGenerator", GetGenerator);
NODE_SET_PROTOTYPE_METHOD(t2, "getPublicKey", GetPublicKey);
NODE_SET_PROTOTYPE_METHOD(t2, "getPrivateKey", GetPrivateKey);
target->Set(String::NewSymbol("DiffieHellmanGroup"), t2->GetFunction());
} }
bool Init(int primeLength) { bool Init(int primeLength) {
@ -3557,7 +3570,48 @@ class DiffieHellman : public ObjectWrap {
return true; return true;
} }
bool Init(unsigned char* p, int p_len, unsigned char* g, int g_len) {
dh = DH_new();
dh->p = BN_bin2bn(p, p_len, 0);
dh->g = BN_bin2bn(g, g_len, 0);
initialised_ = true;
return true;
}
protected: protected:
static Handle<Value> DiffieHellmanGroup(const Arguments& args) {
HandleScope scope;
DiffieHellman* diffieHellman = new DiffieHellman();
if (args.Length() != 1 || !args[0]->IsString()) {
return ThrowException(Exception::Error(
String::New("No group name given")));
}
String::Utf8Value group_name(args[0]->ToString());
modp_group* it = modp_groups;
while(it->name != NULL) {
if (!strcasecmp(*group_name, it->name))
break;
it++;
}
if (it->name != NULL) {
diffieHellman->Init(it->prime, it->prime_size,
it->gen, it->gen_size);
} else {
return ThrowException(Exception::Error(
String::New("Unknown group")));
}
diffieHellman->Wrap(args.This());
return args.This();
}
static Handle<Value> New(const Arguments& args) { static Handle<Value> New(const Arguments& args) {
HandleScope scope; HandleScope scope;
@ -4375,4 +4429,3 @@ void InitCrypto(Handle<Object> target) {
} // namespace node } // namespace node
NODE_MODULE(node_crypto, node::crypto::InitCrypto) NODE_MODULE(node_crypto, node::crypto::InitCrypto)

386
src/node_crypto_groups.h
View File

@ -0,0 +1,386 @@
/*
These modular groups were literally taken from:
* RFC 2412 (groups 1 and 2)
* RFC 3526 (groups 5, 14, 15, 16, 17 and 18)
They all use 2 as a generator.
*/
unsigned char two_generator[] = { 2 };
unsigned char group_modp1[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x3a, 0x36, 0x20, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff };
unsigned char group_modp2[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe6, 0x53, 0x81,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff };
unsigned char group_modp5[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda,
0x48, 0x36, 0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8,
0xfd, 0x24, 0xcf, 0x5f, 0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3,
0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56, 0x20, 0x85, 0x52, 0xbb,
0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d, 0x67, 0x0c,
0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x23, 0x73, 0x27, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff };
unsigned char group_modp14[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda,
0x48, 0x36, 0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8,
0xfd, 0x24, 0xcf, 0x5f, 0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3,
0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56, 0x20, 0x85, 0x52, 0xbb,
0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d, 0x67, 0x0c,
0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x18, 0x21, 0x7c, 0x32, 0x90, 0x5e, 0x46, 0x2e, 0x36,
0xce, 0x3b, 0xe3, 0x9e, 0x77, 0x2c, 0x18, 0x0e, 0x86, 0x03,
0x9b, 0x27, 0x83, 0xa2, 0xec, 0x07, 0xa2, 0x8f, 0xb5, 0xc5,
0x5d, 0xf0, 0x6f, 0x4c, 0x52, 0xc9, 0xde, 0x2b, 0xcb, 0xf6,
0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7c, 0xea, 0x95,
0x6a, 0xe5, 0x15, 0xd2, 0x26, 0x18, 0x98, 0xfa, 0x05, 0x10,
0x15, 0x72, 0x8e, 0x5a, 0x8a, 0xac, 0xaa, 0x68, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff };
unsigned char group_modp15[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda,
0x48, 0x36, 0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8,
0xfd, 0x24, 0xcf, 0x5f, 0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3,
0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56, 0x20, 0x85, 0x52, 0xbb,
0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d, 0x67, 0x0c,
0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x18, 0x21, 0x7c, 0x32, 0x90, 0x5e, 0x46, 0x2e, 0x36,
0xce, 0x3b, 0xe3, 0x9e, 0x77, 0x2c, 0x18, 0x0e, 0x86, 0x03,
0x9b, 0x27, 0x83, 0xa2, 0xec, 0x07, 0xa2, 0x8f, 0xb5, 0xc5,
0x5d, 0xf0, 0x6f, 0x4c, 0x52, 0xc9, 0xde, 0x2b, 0xcb, 0xf6,
0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7c, 0xea, 0x95,
0x6a, 0xe5, 0x15, 0xd2, 0x26, 0x18, 0x98, 0xfa, 0x05, 0x10,
0x15, 0x72, 0x8e, 0x5a, 0x8a, 0xaa, 0xc4, 0x2d, 0xad, 0x33,
0x17, 0x0d, 0x04, 0x50, 0x7a, 0x33, 0xa8, 0x55, 0x21, 0xab,
0xdf, 0x1c, 0xba, 0x64, 0xec, 0xfb, 0x85, 0x04, 0x58, 0xdb,
0xef, 0x0a, 0x8a, 0xea, 0x71, 0x57, 0x5d, 0x06, 0x0c, 0x7d,
0xb3, 0x97, 0x0f, 0x85, 0xa6, 0xe1, 0xe4, 0xc7, 0xab, 0xf5,
0xae, 0x8c, 0xdb, 0x09, 0x33, 0xd7, 0x1e, 0x8c, 0x94, 0xe0,
0x4a, 0x25, 0x61, 0x9d, 0xce, 0xe3, 0xd2, 0x26, 0x1a, 0xd2,
0xee, 0x6b, 0xf1, 0x2f, 0xfa, 0x06, 0xd9, 0x8a, 0x08, 0x64,
0xd8, 0x76, 0x02, 0x73, 0x3e, 0xc8, 0x6a, 0x64, 0x52, 0x1f,
0x2b, 0x18, 0x17, 0x7b, 0x20, 0x0c, 0xbb, 0xe1, 0x17, 0x57,
0x7a, 0x61, 0x5d, 0x6c, 0x77, 0x09, 0x88, 0xc0, 0xba, 0xd9,
0x46, 0xe2, 0x08, 0xe2, 0x4f, 0xa0, 0x74, 0xe5, 0xab, 0x31,
0x43, 0xdb, 0x5b, 0xfc, 0xe0, 0xfd, 0x10, 0x8e, 0x4b, 0x82,
0xd1, 0x20, 0xa9, 0x3a, 0xd2, 0xca, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff };
unsigned char group_modp16[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda,
0x48, 0x36, 0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8,
0xfd, 0x24, 0xcf, 0x5f, 0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3,
0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56, 0x20, 0x85, 0x52, 0xbb,
0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d, 0x67, 0x0c,
0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x18, 0x21, 0x7c, 0x32, 0x90, 0x5e, 0x46, 0x2e, 0x36,
0xce, 0x3b, 0xe3, 0x9e, 0x77, 0x2c, 0x18, 0x0e, 0x86, 0x03,
0x9b, 0x27, 0x83, 0xa2, 0xec, 0x07, 0xa2, 0x8f, 0xb5, 0xc5,
0x5d, 0xf0, 0x6f, 0x4c, 0x52, 0xc9, 0xde, 0x2b, 0xcb, 0xf6,
0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7c, 0xea, 0x95,
0x6a, 0xe5, 0x15, 0xd2, 0x26, 0x18, 0x98, 0xfa, 0x05, 0x10,
0x15, 0x72, 0x8e, 0x5a, 0x8a, 0xaa, 0xc4, 0x2d, 0xad, 0x33,
0x17, 0x0d, 0x04, 0x50, 0x7a, 0x33, 0xa8, 0x55, 0x21, 0xab,
0xdf, 0x1c, 0xba, 0x64, 0xec, 0xfb, 0x85, 0x04, 0x58, 0xdb,
0xef, 0x0a, 0x8a, 0xea, 0x71, 0x57, 0x5d, 0x06, 0x0c, 0x7d,
0xb3, 0x97, 0x0f, 0x85, 0xa6, 0xe1, 0xe4, 0xc7, 0xab, 0xf5,
0xae, 0x8c, 0xdb, 0x09, 0x33, 0xd7, 0x1e, 0x8c, 0x94, 0xe0,
0x4a, 0x25, 0x61, 0x9d, 0xce, 0xe3, 0xd2, 0x26, 0x1a, 0xd2,
0xee, 0x6b, 0xf1, 0x2f, 0xfa, 0x06, 0xd9, 0x8a, 0x08, 0x64,
0xd8, 0x76, 0x02, 0x73, 0x3e, 0xc8, 0x6a, 0x64, 0x52, 0x1f,
0x2b, 0x18, 0x17, 0x7b, 0x20, 0x0c, 0xbb, 0xe1, 0x17, 0x57,
0x7a, 0x61, 0x5d, 0x6c, 0x77, 0x09, 0x88, 0xc0, 0xba, 0xd9,
0x46, 0xe2, 0x08, 0xe2, 0x4f, 0xa0, 0x74, 0xe5, 0xab, 0x31,
0x43, 0xdb, 0x5b, 0xfc, 0xe0, 0xfd, 0x10, 0x8e, 0x4b, 0x82,
0xd1, 0x20, 0xa9, 0x21, 0x08, 0x01, 0x1a, 0x72, 0x3c, 0x12,
0xa7, 0x87, 0xe6, 0xd7, 0x88, 0x71, 0x9a, 0x10, 0xbd, 0xba,
0x5b, 0x26, 0x99, 0xc3, 0x27, 0x18, 0x6a, 0xf4, 0xe2, 0x3c,
0x1a, 0x94, 0x68, 0x34, 0xb6, 0x15, 0x0b, 0xda, 0x25, 0x83,
0xe9, 0xca, 0x2a, 0xd4, 0x4c, 0xe8, 0xdb, 0xbb, 0xc2, 0xdb,
0x04, 0xde, 0x8e, 0xf9, 0x2e, 0x8e, 0xfc, 0x14, 0x1f, 0xbe,
0xca, 0xa6, 0x28, 0x7c, 0x59, 0x47, 0x4e, 0x6b, 0xc0, 0x5d,
0x99, 0xb2, 0x96, 0x4f, 0xa0, 0x90, 0xc3, 0xa2, 0x23, 0x3b,
0xa1, 0x86, 0x51, 0x5b, 0xe7, 0xed, 0x1f, 0x61, 0x29, 0x70,
0xce, 0xe2, 0xd7, 0xaf, 0xb8, 0x1b, 0xdd, 0x76, 0x21, 0x70,
0x48, 0x1c, 0xd0, 0x06, 0x91, 0x27, 0xd5, 0xb0, 0x5a, 0xa9,
0x93, 0xb4, 0xea, 0x98, 0x8d, 0x8f, 0xdd, 0xc1, 0x86, 0xff,
0xb7, 0xdc, 0x90, 0xa6, 0xc0, 0x8f, 0x4d, 0xf4, 0x35, 0xc9,
0x34, 0x06, 0x31, 0x99, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff };
unsigned char group_modp17[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda,
0x48, 0x36, 0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8,
0xfd, 0x24, 0xcf, 0x5f, 0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3,
0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56, 0x20, 0x85, 0x52, 0xbb,
0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d, 0x67, 0x0c,
0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x18, 0x21, 0x7c, 0x32, 0x90, 0x5e, 0x46, 0x2e, 0x36,
0xce, 0x3b, 0xe3, 0x9e, 0x77, 0x2c, 0x18, 0x0e, 0x86, 0x03,
0x9b, 0x27, 0x83, 0xa2, 0xec, 0x07, 0xa2, 0x8f, 0xb5, 0xc5,
0x5d, 0xf0, 0x6f, 0x4c, 0x52, 0xc9, 0xde, 0x2b, 0xcb, 0xf6,
0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7c, 0xea, 0x95,
0x6a, 0xe5, 0x15, 0xd2, 0x26, 0x18, 0x98, 0xfa, 0x05, 0x10,
0x15, 0x72, 0x8e, 0x5a, 0x8a, 0xaa, 0xc4, 0x2d, 0xad, 0x33,
0x17, 0x0d, 0x04, 0x50, 0x7a, 0x33, 0xa8, 0x55, 0x21, 0xab,
0xdf, 0x1c, 0xba, 0x64, 0xec, 0xfb, 0x85, 0x04, 0x58, 0xdb,
0xef, 0x0a, 0x8a, 0xea, 0x71, 0x57, 0x5d, 0x06, 0x0c, 0x7d,
0xb3, 0x97, 0x0f, 0x85, 0xa6, 0xe1, 0xe4, 0xc7, 0xab, 0xf5,
0xae, 0x8c, 0xdb, 0x09, 0x33, 0xd7, 0x1e, 0x8c, 0x94, 0xe0,
0x4a, 0x25, 0x61, 0x9d, 0xce, 0xe3, 0xd2, 0x26, 0x1a, 0xd2,
0xee, 0x6b, 0xf1, 0x2f, 0xfa, 0x06, 0xd9, 0x8a, 0x08, 0x64,
0xd8, 0x76, 0x02, 0x73, 0x3e, 0xc8, 0x6a, 0x64, 0x52, 0x1f,
0x2b, 0x18, 0x17, 0x7b, 0x20, 0x0c, 0xbb, 0xe1, 0x17, 0x57,
0x7a, 0x61, 0x5d, 0x6c, 0x77, 0x09, 0x88, 0xc0, 0xba, 0xd9,
0x46, 0xe2, 0x08, 0xe2, 0x4f, 0xa0, 0x74, 0xe5, 0xab, 0x31,
0x43, 0xdb, 0x5b, 0xfc, 0xe0, 0xfd, 0x10, 0x8e, 0x4b, 0x82,
0xd1, 0x20, 0xa9, 0x21, 0x08, 0x01, 0x1a, 0x72, 0x3c, 0x12,
0xa7, 0x87, 0xe6, 0xd7, 0x88, 0x71, 0x9a, 0x10, 0xbd, 0xba,
0x5b, 0x26, 0x99, 0xc3, 0x27, 0x18, 0x6a, 0xf4, 0xe2, 0x3c,
0x1a, 0x94, 0x68, 0x34, 0xb6, 0x15, 0x0b, 0xda, 0x25, 0x83,
0xe9, 0xca, 0x2a, 0xd4, 0x4c, 0xe8, 0xdb, 0xbb, 0xc2, 0xdb,
0x04, 0xde, 0x8e, 0xf9, 0x2e, 0x8e, 0xfc, 0x14, 0x1f, 0xbe,
0xca, 0xa6, 0x28, 0x7c, 0x59, 0x47, 0x4e, 0x6b, 0xc0, 0x5d,
0x99, 0xb2, 0x96, 0x4f, 0xa0, 0x90, 0xc3, 0xa2, 0x23, 0x3b,
0xa1, 0x86, 0x51, 0x5b, 0xe7, 0xed, 0x1f, 0x61, 0x29, 0x70,
0xce, 0xe2, 0xd7, 0xaf, 0xb8, 0x1b, 0xdd, 0x76, 0x21, 0x70,
0x48, 0x1c, 0xd0, 0x06, 0x91, 0x27, 0xd5, 0xb0, 0x5a, 0xa9,
0x93, 0xb4, 0xea, 0x98, 0x8d, 0x8f, 0xdd, 0xc1, 0x86, 0xff,
0xb7, 0xdc, 0x90, 0xa6, 0xc0, 0x8f, 0x4d, 0xf4, 0x35, 0xc9,
0x34, 0x02, 0x84, 0x92, 0x36, 0xc3, 0xfa, 0xb4, 0xd2, 0x7c,
0x70, 0x26, 0xc1, 0xd4, 0xdc, 0xb2, 0x60, 0x26, 0x46, 0xde,
0xc9, 0x75, 0x1e, 0x76, 0x3d, 0xba, 0x37, 0xbd, 0xf8, 0xff,
0x94, 0x06, 0xad, 0x9e, 0x53, 0x0e, 0xe5, 0xdb, 0x38, 0x2f,
0x41, 0x30, 0x01, 0xae, 0xb0, 0x6a, 0x53, 0xed, 0x90, 0x27,
0xd8, 0x31, 0x17, 0x97, 0x27, 0xb0, 0x86, 0x5a, 0x89, 0x18,
0xda, 0x3e, 0xdb, 0xeb, 0xcf, 0x9b, 0x14, 0xed, 0x44, 0xce,
0x6c, 0xba, 0xce, 0xd4, 0xbb, 0x1b, 0xdb, 0x7f, 0x14, 0x47,
0xe6, 0xcc, 0x25, 0x4b, 0x33, 0x20, 0x51, 0x51, 0x2b, 0xd7,
0xaf, 0x42, 0x6f, 0xb8, 0xf4, 0x01, 0x37, 0x8c, 0xd2, 0xbf,
0x59, 0x83, 0xca, 0x01, 0xc6, 0x4b, 0x92, 0xec, 0xf0, 0x32,
0xea, 0x15, 0xd1, 0x72, 0x1d, 0x03, 0xf4, 0x82, 0xd7, 0xce,
0x6e, 0x74, 0xfe, 0xf6, 0xd5, 0x5e, 0x70, 0x2f, 0x46, 0x98,
0x0c, 0x82, 0xb5, 0xa8, 0x40, 0x31, 0x90, 0x0b, 0x1c, 0x9e,
0x59, 0xe7, 0xc9, 0x7f, 0xbe, 0xc7, 0xe8, 0xf3, 0x23, 0xa9,
0x7a, 0x7e, 0x36, 0xcc, 0x88, 0xbe, 0x0f, 0x1d, 0x45, 0xb7,
0xff, 0x58, 0x5a, 0xc5, 0x4b, 0xd4, 0x07, 0xb2, 0x2b, 0x41,
0x54, 0xaa, 0xcc, 0x8f, 0x6d, 0x7e, 0xbf, 0x48, 0xe1, 0xd8,
0x14, 0xcc, 0x5e, 0xd2, 0x0f, 0x80, 0x37, 0xe0, 0xa7, 0x97,
0x15, 0xee, 0xf2, 0x9b, 0xe3, 0x28, 0x06, 0xa1, 0xd5, 0x8b,
0xb7, 0xc5, 0xda, 0x76, 0xf5, 0x50, 0xaa, 0x3d, 0x8a, 0x1f,
0xbf, 0xf0, 0xeb, 0x19, 0xcc, 0xb1, 0xa3, 0x13, 0xd5, 0x5c,
0xda, 0x56, 0xc9, 0xec, 0x2e, 0xf2, 0x96, 0x32, 0x38, 0x7f,
0xe8, 0xd7, 0x6e, 0x3c, 0x04, 0x68, 0x04, 0x3e, 0x8f, 0x66,
0x3f, 0x48, 0x60, 0xee, 0x12, 0xbf, 0x2d, 0x5b, 0x0b, 0x74,
0x74, 0xd6, 0xe6, 0x94, 0xf9, 0x1e, 0x6d, 0xcc, 0x40, 0x24,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff };
unsigned char group_modp18[] = {
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xc9, 0x0f,
0xda, 0xa2, 0x21, 0x68, 0xc2, 0x34, 0xc4, 0xc6, 0x62, 0x8b,
0x80, 0xdc, 0x1c, 0xd1, 0x29, 0x02, 0x4e, 0x08, 0x8a, 0x67,
0xcc, 0x74, 0x02, 0x0b, 0xbe, 0xa6, 0x3b, 0x13, 0x9b, 0x22,
0x51, 0x4a, 0x08, 0x79, 0x8e, 0x34, 0x04, 0xdd, 0xef, 0x95,
0x19, 0xb3, 0xcd, 0x3a, 0x43, 0x1b, 0x30, 0x2b, 0x0a, 0x6d,
0xf2, 0x5f, 0x14, 0x37, 0x4f, 0xe1, 0x35, 0x6d, 0x6d, 0x51,
0xc2, 0x45, 0xe4, 0x85, 0xb5, 0x76, 0x62, 0x5e, 0x7e, 0xc6,
0xf4, 0x4c, 0x42, 0xe9, 0xa6, 0x37, 0xed, 0x6b, 0x0b, 0xff,
0x5c, 0xb6, 0xf4, 0x06, 0xb7, 0xed, 0xee, 0x38, 0x6b, 0xfb,
0x5a, 0x89, 0x9f, 0xa5, 0xae, 0x9f, 0x24, 0x11, 0x7c, 0x4b,
0x1f, 0xe6, 0x49, 0x28, 0x66, 0x51, 0xec, 0xe4, 0x5b, 0x3d,
0xc2, 0x00, 0x7c, 0xb8, 0xa1, 0x63, 0xbf, 0x05, 0x98, 0xda,
0x48, 0x36, 0x1c, 0x55, 0xd3, 0x9a, 0x69, 0x16, 0x3f, 0xa8,
0xfd, 0x24, 0xcf, 0x5f, 0x83, 0x65, 0x5d, 0x23, 0xdc, 0xa3,
0xad, 0x96, 0x1c, 0x62, 0xf3, 0x56, 0x20, 0x85, 0x52, 0xbb,
0x9e, 0xd5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6d, 0x67, 0x0c,
0x35, 0x4e, 0x4a, 0xbc, 0x98, 0x04, 0xf1, 0x74, 0x6c, 0x08,
0xca, 0x18, 0x21, 0x7c, 0x32, 0x90, 0x5e, 0x46, 0x2e, 0x36,
0xce, 0x3b, 0xe3, 0x9e, 0x77, 0x2c, 0x18, 0x0e, 0x86, 0x03,
0x9b, 0x27, 0x83, 0xa2, 0xec, 0x07, 0xa2, 0x8f, 0xb5, 0xc5,
0x5d, 0xf0, 0x6f, 0x4c, 0x52, 0xc9, 0xde, 0x2b, 0xcb, 0xf6,
0x95, 0x58, 0x17, 0x18, 0x39, 0x95, 0x49, 0x7c, 0xea, 0x95,
0x6a, 0xe5, 0x15, 0xd2, 0x26, 0x18, 0x98, 0xfa, 0x05, 0x10,
0x15, 0x72, 0x8e, 0x5a, 0x8a, 0xaa, 0xc4, 0x2d, 0xad, 0x33,
0x17, 0x0d, 0x04, 0x50, 0x7a, 0x33, 0xa8, 0x55, 0x21, 0xab,
0xdf, 0x1c, 0xba, 0x64, 0xec, 0xfb, 0x85, 0x04, 0x58, 0xdb,
0xef, 0x0a, 0x8a, 0xea, 0x71, 0x57, 0x5d, 0x06, 0x0c, 0x7d,
0xb3, 0x97, 0x0f, 0x85, 0xa6, 0xe1, 0xe4, 0xc7, 0xab, 0xf5,
0xae, 0x8c, 0xdb, 0x09, 0x33, 0xd7, 0x1e, 0x8c, 0x94, 0xe0,
0x4a, 0x25, 0x61, 0x9d, 0xce, 0xe3, 0xd2, 0x26, 0x1a, 0xd2,
0xee, 0x6b, 0xf1, 0x2f, 0xfa, 0x06, 0xd9, 0x8a, 0x08, 0x64,
0xd8, 0x76, 0x02, 0x73, 0x3e, 0xc8, 0x6a, 0x64, 0x52, 0x1f,
0x2b, 0x18, 0x17, 0x7b, 0x20, 0x0c, 0xbb, 0xe1, 0x17, 0x57,
0x7a, 0x61, 0x5d, 0x6c, 0x77, 0x09, 0x88, 0xc0, 0xba, 0xd9,
0x46, 0xe2, 0x08, 0xe2, 0x4f, 0xa0, 0x74, 0xe5, 0xab, 0x31,
0x43, 0xdb, 0x5b, 0xfc, 0xe0, 0xfd, 0x10, 0x8e, 0x4b, 0x82,
0xd1, 0x20, 0xa9, 0x21, 0x08, 0x01, 0x1a, 0x72, 0x3c, 0x12,
0xa7, 0x87, 0xe6, 0xd7, 0x88, 0x71, 0x9a, 0x10, 0xbd, 0xba,
0x5b, 0x26, 0x99, 0xc3, 0x27, 0x18, 0x6a, 0xf4, 0xe2, 0x3c,
0x1a, 0x94, 0x68, 0x34, 0xb6, 0x15, 0x0b, 0xda, 0x25, 0x83,
0xe9, 0xca, 0x2a, 0xd4, 0x4c, 0xe8, 0xdb, 0xbb, 0xc2, 0xdb,
0x04, 0xde, 0x8e, 0xf9, 0x2e, 0x8e, 0xfc, 0x14, 0x1f, 0xbe,
0xca, 0xa6, 0x28, 0x7c, 0x59, 0x47, 0x4e, 0x6b, 0xc0, 0x5d,
0x99, 0xb2, 0x96, 0x4f, 0xa0, 0x90, 0xc3, 0xa2, 0x23, 0x3b,
0xa1, 0x86, 0x51, 0x5b, 0xe7, 0xed, 0x1f, 0x61, 0x29, 0x70,
0xce, 0xe2, 0xd7, 0xaf, 0xb8, 0x1b, 0xdd, 0x76, 0x21, 0x70,
0x48, 0x1c, 0xd0, 0x06, 0x91, 0x27, 0xd5, 0xb0, 0x5a, 0xa9,
0x93, 0xb4, 0xea, 0x98, 0x8d, 0x8f, 0xdd, 0xc1, 0x86, 0xff,
0xb7, 0xdc, 0x90, 0xa6, 0xc0, 0x8f, 0x4d, 0xf4, 0x35, 0xc9,
0x34, 0x02, 0x84, 0x92, 0x36, 0xc3, 0xfa, 0xb4, 0xd2, 0x7c,
0x70, 0x26, 0xc1, 0xd4, 0xdc, 0xb2, 0x60, 0x26, 0x46, 0xde,
0xc9, 0x75, 0x1e, 0x76, 0x3d, 0xba, 0x37, 0xbd, 0xf8, 0xff,
0x94, 0x06, 0xad, 0x9e, 0x53, 0x0e, 0xe5, 0xdb, 0x38, 0x2f,
0x41, 0x30, 0x01, 0xae, 0xb0, 0x6a, 0x53, 0xed, 0x90, 0x27,
0xd8, 0x31, 0x17, 0x97, 0x27, 0xb0, 0x86, 0x5a, 0x89, 0x18,
0xda, 0x3e, 0xdb, 0xeb, 0xcf, 0x9b, 0x14, 0xed, 0x44, 0xce,
0x6c, 0xba, 0xce, 0xd4, 0xbb, 0x1b, 0xdb, 0x7f, 0x14, 0x47,
0xe6, 0xcc, 0x25, 0x4b, 0x33, 0x20, 0x51, 0x51, 0x2b, 0xd7,
0xaf, 0x42, 0x6f, 0xb8, 0xf4, 0x01, 0x37, 0x8c, 0xd2, 0xbf,
0x59, 0x83, 0xca, 0x01, 0xc6, 0x4b, 0x92, 0xec, 0xf0, 0x32,
0xea, 0x15, 0xd1, 0x72, 0x1d, 0x03, 0xf4, 0x82, 0xd7, 0xce,
0x6e, 0x74, 0xfe, 0xf6, 0xd5, 0x5e, 0x70, 0x2f, 0x46, 0x98,
0x0c, 0x82, 0xb5, 0xa8, 0x40, 0x31, 0x90, 0x0b, 0x1c, 0x9e,
0x59, 0xe7, 0xc9, 0x7f, 0xbe, 0xc7, 0xe8, 0xf3, 0x23, 0xa9,
0x7a, 0x7e, 0x36, 0xcc, 0x88, 0xbe, 0x0f, 0x1d, 0x45, 0xb7,
0xff, 0x58, 0x5a, 0xc5, 0x4b, 0xd4, 0x07, 0xb2, 0x2b, 0x41,
0x54, 0xaa, 0xcc, 0x8f, 0x6d, 0x7e, 0xbf, 0x48, 0xe1, 0xd8,
0x14, 0xcc, 0x5e, 0xd2, 0x0f, 0x80, 0x37, 0xe0, 0xa7, 0x97,
0x15, 0xee, 0xf2, 0x9b, 0xe3, 0x28, 0x06, 0xa1, 0xd5, 0x8b,
0xb7, 0xc5, 0xda, 0x76, 0xf5, 0x50, 0xaa, 0x3d, 0x8a, 0x1f,
0xbf, 0xf0, 0xeb, 0x19, 0xcc, 0xb1, 0xa3, 0x13, 0xd5, 0x5c,
0xda, 0x56, 0xc9, 0xec, 0x2e, 0xf2, 0x96, 0x32, 0x38, 0x7f,
0xe8, 0xd7, 0x6e, 0x3c, 0x04, 0x68, 0x04, 0x3e, 0x8f, 0x66,
0x3f, 0x48, 0x60, 0xee, 0x12, 0xbf, 0x2d, 0x5b, 0x0b, 0x74,
0x74, 0xd6, 0xe6, 0x94, 0xf9, 0x1e, 0x6d, 0xbe, 0x11, 0x59,
0x74, 0xa3, 0x92, 0x6f, 0x12, 0xfe, 0xe5, 0xe4, 0x38, 0x77,
0x7c, 0xb6, 0xa9, 0x32, 0xdf, 0x8c, 0xd8, 0xbe, 0xc4, 0xd0,
0x73, 0xb9, 0x31, 0xba, 0x3b, 0xc8, 0x32, 0xb6, 0x8d, 0x9d,
0xd3, 0x00, 0x74, 0x1f, 0xa7, 0xbf, 0x8a, 0xfc, 0x47, 0xed,
0x25, 0x76, 0xf6, 0x93, 0x6b, 0xa4, 0x24, 0x66, 0x3a, 0xab,
0x63, 0x9c, 0x5a, 0xe4, 0xf5, 0x68, 0x34, 0x23, 0xb4, 0x74,
0x2b, 0xf1, 0xc9, 0x78, 0x23, 0x8f, 0x16, 0xcb, 0xe3, 0x9d,
0x65, 0x2d, 0xe3, 0xfd, 0xb8, 0xbe, 0xfc, 0x84, 0x8a, 0xd9,
0x22, 0x22, 0x2e, 0x04, 0xa4, 0x03, 0x7c, 0x07, 0x13, 0xeb,
0x57, 0xa8, 0x1a, 0x23, 0xf0, 0xc7, 0x34, 0x73, 0xfc, 0x64,
0x6c, 0xea, 0x30, 0x6b, 0x4b, 0xcb, 0xc8, 0x86, 0x2f, 0x83,
0x85, 0xdd, 0xfa, 0x9d, 0x4b, 0x7f, 0xa2, 0xc0, 0x87, 0xe8,
0x79, 0x68, 0x33, 0x03, 0xed, 0x5b, 0xdd, 0x3a, 0x06, 0x2b,
0x3c, 0xf5, 0xb3, 0xa2, 0x78, 0xa6, 0x6d, 0x2a, 0x13, 0xf8,
0x3f, 0x44, 0xf8, 0x2d, 0xdf, 0x31, 0x0e, 0xe0, 0x74, 0xab,
0x6a, 0x36, 0x45, 0x97, 0xe8, 0x99, 0xa0, 0x25, 0x5d, 0xc1,
0x64, 0xf3, 0x1c, 0xc5, 0x08, 0x46, 0x85, 0x1d, 0xf9, 0xab,
0x48, 0x19, 0x5d, 0xed, 0x7e, 0xa1, 0xb1, 0xd5, 0x10, 0xbd,
0x7e, 0xe7, 0x4d, 0x73, 0xfa, 0xf3, 0x6b, 0xc3, 0x1e, 0xcf,
0xa2, 0x68, 0x35, 0x90, 0x46, 0xf4, 0xeb, 0x87, 0x9f, 0x92,
0x40, 0x09, 0x43, 0x8b, 0x48, 0x1c, 0x6c, 0xd7, 0x88, 0x9a,
0x00, 0x2e, 0xd5, 0xee, 0x38, 0x2b, 0xc9, 0x19, 0x0d, 0xa6,
0xfc, 0x02, 0x6e, 0x47, 0x95, 0x58, 0xe4, 0x47, 0x56, 0x77,
0xe9, 0xaa, 0x9e, 0x30, 0x50, 0xe2, 0x76, 0x56, 0x94, 0xdf,
0xc8, 0x1f, 0x56, 0xe8, 0x80, 0xb9, 0x6e, 0x71, 0x60, 0xc9,
0x80, 0xdd, 0x98, 0xed, 0xd3, 0xdf, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff };
typedef struct {
const char* name;
unsigned char* prime;
int prime_size;
unsigned char* gen;
int gen_size;
} modp_group;
modp_group modp_groups[] = {
{ "modp1", group_modp1, sizeof(group_modp1) / sizeof(group_modp1[0]), two_generator, 1 },
{ "modp2", group_modp2, sizeof(group_modp2) / sizeof(group_modp2[0]), two_generator, 1 },
{ "modp5", group_modp5, sizeof(group_modp5) / sizeof(group_modp5[0]), two_generator, 1 },
{ "modp14", group_modp14, sizeof(group_modp14) / sizeof(group_modp14[0]), two_generator, 1 },
{ "modp15", group_modp15, sizeof(group_modp15) / sizeof(group_modp15[0]), two_generator, 1 },
{ "modp16", group_modp16, sizeof(group_modp16) / sizeof(group_modp16[0]), two_generator, 1 },
{ "modp17", group_modp17, sizeof(group_modp17) / sizeof(group_modp17[0]), two_generator, 1 },
{ "modp18", group_modp18, sizeof(group_modp18) / sizeof(group_modp18[0]), two_generator, 1 },
{ NULL, NULL, 0, NULL, 0 }
};

70
test/simple/test-crypto-dh.js
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@ -0,0 +1,70 @@
// Copyright Joyent, Inc. and other Node contributors.
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to permit
// persons to whom the Software is furnished to do so, subject to the
// following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
// NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
// DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
// OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
// USE OR OTHER DEALINGS IN THE SOFTWARE.
var common = require('../common');
var assert = require('assert');
try {
var crypto = require('crypto');
} catch (e) {
console.log('Not compiled with OPENSSL support.');
process.exit();
}
assert.throws(function() {
crypto.getDiffieHellman('unknown-group');
});
assert.throws(function() {
crypto.getDiffieHellman('modp1').setPrivateKey('');
});
assert.throws(function() {
crypto.getDiffieHellman('modp1').setPublicKey('');
});
var hashes = {
modp1 : "b4b330a6ffeacfbd861e7fe2135b4431",
modp2 : "7c3c5cad8b9f378d88f1dd64a4b6413a",
modp5 : "b1d2acc22c542e08669a5c5ae812694d",
modp14 : "8d041538cecc1a7d915ba4b718f8ad20",
modp15 : "dc3b93def24e078c4fbf92d5e14ba69b",
modp16 : "a273487f46f699461f613b3878d9dfd9",
modp17 : "dc76e09935310348c492de9bd82014d0",
modp18 : "db08973bfd2371758a69db180871c993"
}
for (var name in hashes) {
var group = crypto.getDiffieHellman(name);
var private_key = group.getPrime('hex');
var hash1 = hashes[name];
var hash2 = crypto.createHash('md5').update(private_key.toUpperCase()).digest('hex');
assert.equal(hash1, hash2);
assert.equal(group.getGenerator('hex'), '02');
}
for (var name in hashes) {
var group1 = crypto.getDiffieHellman(name);
var group2 = crypto.getDiffieHellman(name);
group1.generateKeys();
group2.generateKeys();
var key1 = group1.computeSecret(group2.getPublicKey());
var key2 = group2.computeSecret(group1.getPublicKey());
assert.equal(key1, key2);
}
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