crypto: add function getDiffieHellman()

Returns a well known, predefined RFC group.

5 files changed, 544 insertions, 1 deletions

diff --git a/doc/api/crypto.markdown b/doc/api/crypto.markdown
index cbc3955f9a..837cf0945c 100644
--- a/doc/api/crypto.markdown
+++ b/doc/api/crypto.markdown
@@ -264,6 +264,36 @@ or `'base64'`. Defaults to `'binary'`.
 Sets the Diffie-Hellman private key. Key encoding can be `'binary'`, `'hex'`,
 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)
 
 Asynchronous PBKDF2 applies pseudorandom function HMAC-SHA1 to derive
diff --git a/lib/crypto.js b/lib/crypto.js
index 6244f2c8d4..05b19755be 100644
--- a/lib/crypto.js
+++ b/lib/crypto.js
@@ -30,6 +30,7 @@ try {
   var Sign = binding.Sign;
   var Verify = binding.Verify;
   var DiffieHellman = binding.DiffieHellman;
+  var DiffieHellmanGroup = binding.DiffieHellmanGroup;
   var PBKDF2 = binding.PBKDF2;
   var randomBytes = binding.randomBytes;
   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;
 
diff --git a/src/node_crypto.cc b/src/node_crypto.cc
index b011d52061..0403a03614 100644
--- a/src/node_crypto.cc
+++ b/src/node_crypto.cc
@@ -20,6 +20,7 @@
 // USE OR OTHER DEALINGS IN THE SOFTWARE.
 
 #include <node_crypto.h>
+#include <node_crypto_groups.h>
 #include <v8.h>
 
 #include <node.h>
@@ -3535,6 +3536,18 @@ class DiffieHellman : public ObjectWrap {
     NODE_SET_PROTOTYPE_METHOD(t, "setPrivateKey", SetPrivateKey);
 
     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) {
@@ -3557,7 +3570,48 @@ class DiffieHellman : public ObjectWrap {
     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:
+  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) {
     HandleScope scope;
 
@@ -4375,4 +4429,3 @@ void InitCrypto(Handle<Object> target) {
 }  // namespace node
 
 NODE_MODULE(node_crypto, node::crypto::InitCrypto)
-
diff --git a/src/node_crypto_groups.h b/src/node_crypto_groups.h
new file mode 100644
index 0000000000..4a521f45a5
--- /dev/null
+++ b/src/node_crypto_groups.h
@@ -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 }
+};
\ No newline at end of file
diff --git a/test/simple/test-crypto-dh.js b/test/simple/test-crypto-dh.js
new file mode 100644
index 0000000000..8637a7f0ae
--- /dev/null
+++ b/test/simple/test-crypto-dh.js
@@ -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);
+}