1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
|
/*
* ECDH tests
*
* (C) 2007 Manuel Hartl (hartl@flexsecure.de)
* 2008 Jack Lloyd
*
* Distributed under the terms of the Botan license
*/
#include <botan/build.h>
#include "validate.h"
#include "common.h"
#if defined(BOTAN_HAS_ECDH)
#include <iostream>
#include <fstream>
#include <botan/symkey.h>
#include <botan/ecdh.h>
#include <botan/x509self.h>
#include <botan/der_enc.h>
using namespace Botan;
#define CHECK_MESSAGE(expr, print) try { if(!(expr)) std::cout << print << "\n"; } catch(std::exception& e) { std::cout << __FUNCTION__ << ": " << e.what() << "\n"; }
#define CHECK(expr) try { if(!(expr)) std::cout << #expr << "\n"; } catch(std::exception& e) { std::cout << __FUNCTION__ << ": " << e.what() << "\n"; }
namespace {
void test_ecdh_normal_derivation(RandomNumberGenerator& rng)
{
std::cout << "." << std::flush;
/*
std::string p_secp = "ffffffffffffffffffffffffffffffff7fffffff";
std::string a_secp = "ffffffffffffffffffffffffffffffff7ffffffc";
std::string b_secp = "1c97befc54bd7a8b65acf89f81d4d4adc565fa45";
std::string G_secp_comp = "024a96b5688ef573284664698968c38bb913cbfc82";
::Botan::SecureVector<byte> sv_p_secp = decode_hex(p_secp);
::Botan::SecureVector<byte> sv_a_secp = decode_hex(a_secp);
::Botan::SecureVector<byte> sv_b_secp = decode_hex(b_secp);
::Botan::SecureVector<byte> sv_G_secp_comp = decode_hex(G_secp_comp);
BigInt bi_p_secp = BigInt::decode(sv_p_secp.begin(), sv_p_secp.size());
BigInt bi_a_secp = BigInt::decode(sv_a_secp.begin(), sv_a_secp.size());
BigInt bi_b_secp = BigInt::decode(sv_b_secp.begin(), sv_b_secp.size());
CurveGFp secp160r1(GFpElement(bi_p_secp,bi_a_secp), GFpElement(bi_p_secp, bi_b_secp), bi_p_secp);
*/
std::string g_secp("024a96b5688ef573284664698968c38bb913cbfc82");
Botan::SecureVector<Botan::byte> sv_g_secp = decode_hex(g_secp);
BigInt bi_p_secp("0xffffffffffffffffffffffffffffffff7fffffff");
BigInt bi_a_secp("0xffffffffffffffffffffffffffffffff7ffffffc");
BigInt bi_b_secp("0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45");
BigInt order = BigInt("0x0100000000000000000001f4c8f927aed3ca752257");
CurveGFp curve(bi_p_secp, bi_a_secp, bi_b_secp);
BigInt cofactor = BigInt(1);
PointGFp p_G = OS2ECP ( sv_g_secp, curve );
Botan::EC_Domain_Params dom_pars = Botan::EC_Domain_Params(curve, p_G, order, cofactor);
/**
* begin ECDH
*/
// alices key (a key constructed by domain parameters IS an ephimeral key!)
Botan::ECDH_PrivateKey private_a(rng, dom_pars);
Botan::ECDH_PublicKey public_a = private_a; // Bob gets this
// Bob creates a key with a matching group
Botan::ECDH_PrivateKey private_b(rng, dom_pars); //public_a.getCurve()
// Bob sends the key back to Alice
Botan::ECDH_PublicKey public_b = private_b; // Alice gets this
// Both of them create a key using their private key and the other's
// public key
Botan::SymmetricKey alice_key = private_a.derive_key(public_b);
Botan::SymmetricKey bob_key = private_b.derive_key(public_a);
if(alice_key != bob_key)
{
std::cout << "The two keys didn't match!\n";
std::cout << "Alice's key was: " << alice_key.as_string() << "\n";
std::cout << "Bob's key was: " << bob_key.as_string() << "\n";
}
}
void test_ecdh_some_dp(RandomNumberGenerator& rng)
{
std::vector<std::string> oids;
oids.push_back("1.2.840.10045.3.1.7");
oids.push_back("1.3.132.0.8");
oids.push_back("1.2.840.10045.3.1.1");
for(Botan::u32bit i = 0; i< oids.size(); i++)
{
std::cout << "." << std::flush;
Botan::OID oid(oids[i]);
Botan::EC_Domain_Params dom_pars(oid);
Botan::ECDH_PrivateKey private_a(rng, dom_pars);
Botan::ECDH_PublicKey public_a = private_a;
/*auto_ptr<Botan::X509_Encoder> x509_key_enc = public_a.x509_encoder();
Botan::MemoryVector<Botan::byte> enc_key_a = Botan::DER_Encoder()
.start_cons(Botan::SEQUENCE)
.encode(x509_key_enc->alg_id())
.encode(x509_key_enc->key_bits(), Botan::BIT_STRING)
.end_cons()
.get_contents();*/
Botan::ECDH_PrivateKey private_b(rng, dom_pars);
Botan::ECDH_PublicKey public_b = private_b;
// to test the equivalence, we
// use the direct derivation method here
Botan::SymmetricKey alice_key = private_a.derive_key(public_b);
//cout << "encoded key = " << hex_encode(enc_key_a.begin(), enc_key_a.size()) << endl;
Botan::SymmetricKey bob_key = private_b.derive_key(public_a);
CHECK_MESSAGE(alice_key == bob_key, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
//cout << "key: " << alice_key.as_string() << endl;
}
}
void test_ecdh_der_derivation(RandomNumberGenerator& rng)
{
std::vector<std::string> oids;
oids.push_back("1.2.840.10045.3.1.7");
oids.push_back("1.3.132.0.8");
oids.push_back("1.2.840.10045.3.1.1");
for(Botan::u32bit i = 0; i< oids.size(); i++)
{
Botan::OID oid(oids[i]);
Botan::EC_Domain_Params dom_pars(oid);
Botan::ECDH_PrivateKey private_a(rng, dom_pars);
Botan::ECDH_PublicKey public_a = private_a;
Botan::ECDH_PrivateKey private_b(rng, dom_pars);
Botan::ECDH_PublicKey public_b = private_b;
Botan::MemoryVector<Botan::byte> key_der_a = private_a.public_value();
Botan::MemoryVector<Botan::byte> key_der_b = private_b.public_value();
Botan::SymmetricKey alice_key = private_a.derive_key(key_der_b.begin(), key_der_b.size());
Botan::SymmetricKey bob_key = private_b.derive_key(key_der_a.begin(), key_der_a.size());
CHECK_MESSAGE(alice_key == bob_key, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
//cout << "key: " << alice_key.as_string() << endl;
}
}
/**
* The following test tests the copy ctors and and copy-assignment operators
*/
void test_ecdh_cp_ctor_as_op(RandomNumberGenerator& rng)
{
std::cout << "." << std::flush;
std::string g_secp("024a96b5688ef573284664698968c38bb913cbfc82");
Botan::SecureVector<Botan::byte> sv_g_secp = decode_hex(g_secp);
BigInt bi_p_secp("0xffffffffffffffffffffffffffffffff7fffffff");
BigInt bi_a_secp("0xffffffffffffffffffffffffffffffff7ffffffc");
BigInt bi_b_secp("0x1c97befc54bd7a8b65acf89f81d4d4adc565fa45");
BigInt order = BigInt("0x0100000000000000000001f4c8f927aed3ca752257");
CurveGFp curve(bi_p_secp, bi_a_secp, bi_b_secp);
BigInt cofactor = BigInt(1);
PointGFp p_G = OS2ECP ( sv_g_secp, curve );
Botan::EC_Domain_Params dom_pars = Botan::EC_Domain_Params(curve, p_G, order, cofactor);
/**
* begin ECDH
*/
// alices key (a key constructed by domain parameters IS an ephimeral key!)
Botan::ECDH_PrivateKey private_a(rng, dom_pars);
Botan::ECDH_PrivateKey private_a2(private_a);
Botan::ECDH_PrivateKey private_a3;
private_a3 = private_a2;
Botan::ECDH_PublicKey public_a = private_a; // Bob gets this
Botan::ECDH_PublicKey public_a2(public_a);
Botan::ECDH_PublicKey public_a3 = public_a;
// Bob creates a key with a matching group
Botan::ECDH_PrivateKey private_b(rng, dom_pars); //public_a.getCurve()
// Bob sends the key back to Alice
Botan::ECDH_PublicKey public_b = private_b; // Alice gets this
// Both of them create a key using their private key and the other's
// public key
Botan::SymmetricKey alice_key = private_a.derive_key(public_b);
Botan::SymmetricKey alice_key_2 = private_a2.derive_key(public_b);
Botan::SymmetricKey alice_key_3 = private_a3.derive_key(public_b);
Botan::SymmetricKey bob_key = private_b.derive_key(public_a);
Botan::SymmetricKey bob_key_2 = private_b.derive_key(public_a2);
Botan::SymmetricKey bob_key_3 = private_b.derive_key(public_a3);
CHECK_MESSAGE(alice_key == bob_key, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
CHECK_MESSAGE(alice_key_2 == bob_key_2, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
CHECK_MESSAGE(alice_key_3 == bob_key_3, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
CHECK_MESSAGE(alice_key == bob_key_2, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
CHECK_MESSAGE(alice_key_2 == bob_key_3, "different keys - " << "Alice's key was: " << alice_key.as_string() << ", Bob's key was: " << bob_key.as_string());
}
}
u32bit do_ecdh_tests(Botan::RandomNumberGenerator& rng)
{
std::cout << "Testing ECDH (InSiTo unit tests): ";
test_ecdh_normal_derivation(rng);
test_ecdh_some_dp(rng);
test_ecdh_der_derivation(rng);
test_ecdh_cp_ctor_as_op(rng);
std::cout << std::endl;
return 0;
}
#else
u32bit do_ecdh_tests(Botan::RandomNumberGenerator&) { return 0; }
#endif
|
