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| 1 | + |
| 2 | +#include <catch2/catch_test_macros.hpp> |
| 3 | + |
| 4 | +#include "cryptlib.h" |
| 5 | +#include "integer.h" |
| 6 | +#include "nbtheory.h" |
| 7 | +#include "osrng.h" |
| 8 | +#include "rsa.h" |
| 9 | +#include "sha.h" |
| 10 | + |
| 11 | +#include <iostream> |
| 12 | +#include <stdexcept> |
| 13 | + |
| 14 | + |
| 15 | +CryptoPP::Integer blind_signature(const CryptoPP::SecByteBlock& orig, |
| 16 | + CryptoPP::Integer& r, |
| 17 | + const CryptoPP::RSA::PublicKey& pub_key, |
| 18 | + const CryptoPP::RSA::PrivateKey& priv_key) { |
| 19 | + using namespace CryptoPP; |
| 20 | + using std::cout; |
| 21 | + using std::endl; |
| 22 | + |
| 23 | + // Convenience |
| 24 | + const Integer &n = pub_key.GetModulus(); |
| 25 | + const Integer &e = pub_key.GetPublicExponent(); |
| 26 | + const Integer &d = priv_key.GetPrivateExponent(); |
| 27 | + |
| 28 | +// For sizing the hashed message buffer. This should be SHA256 size. |
| 29 | + const size_t sig_size = UnsignedMin(SHA256::BLOCKSIZE, n.ByteCount()); |
| 30 | +// Scratch |
| 31 | + SecByteBlock buff_1, buff_2, buff_3; |
| 32 | + |
| 33 | + Integer m(orig.data(), orig.size()); |
| 34 | + cout << "Message: " << std::hex << m << endl; |
| 35 | + |
| 36 | + // Hash message per Rabin (1979) |
| 37 | + buff_1.resize(sig_size); |
| 38 | + SHA256 hash_1; |
| 39 | + hash_1.CalculateTruncatedDigest(buff_1, buff_1.size(), orig, orig.size()); |
| 40 | + |
| 41 | + // H(m) as Integer |
| 42 | + Integer hm(buff_1.data(), buff_1.size()); |
| 43 | + cout << "H(m): " << std::hex << hm << endl; |
| 44 | + |
| 45 | + // Blinding factor |
| 46 | + Integer b = a_exp_b_mod_c(r, e, n); |
| 47 | + cout << "Random: " << std::hex << b << endl; |
| 48 | + |
| 49 | + // Alice blinded message |
| 50 | + Integer mm = a_times_b_mod_c(hm, b, n); |
| 51 | + cout << "Blind msg: " << std::hex << mm << endl; |
| 52 | + |
| 53 | + AutoSeededRandomPool prng; |
| 54 | + |
| 55 | + // Bob sign |
| 56 | + Integer ss = priv_key.CalculateInverse(prng, mm); |
| 57 | + cout << "Blind sign: " << ss << endl; |
| 58 | + |
| 59 | + return ss; |
| 60 | +} |
| 61 | + |
| 62 | +CryptoPP::Integer unblind_signature(CryptoPP::Integer const & ss, |
| 63 | + CryptoPP::Integer& r, |
| 64 | + |
| 65 | + const CryptoPP::RSA::PublicKey& pub_key) |
| 66 | +{ |
| 67 | + |
| 68 | + const CryptoPP::Integer &n = pub_key.GetModulus(); |
| 69 | + CryptoPP::Integer s = a_times_b_mod_c(ss, r.InverseMod(n), n); |
| 70 | + return s; |
| 71 | +} |
| 72 | + |
| 73 | +CryptoPP::Integer verify(CryptoPP::Integer const & ss, |
| 74 | + CryptoPP::Integer& r, |
| 75 | + |
| 76 | + const CryptoPP::RSA::PublicKey& pub_key) |
| 77 | +{ |
| 78 | + CryptoPP::Integer s = unblind_signature(ss,r,pub_key); |
| 79 | + CryptoPP::Integer v = pub_key.ApplyFunction(s); |
| 80 | + return v; |
| 81 | +} |
| 82 | + |
| 83 | +TEST_CASE("cryptopp1", "[crypto]") { |
| 84 | + using namespace CryptoPP; |
| 85 | + using std::cout; |
| 86 | + using std::endl; |
| 87 | + using std::runtime_error; |
| 88 | + |
| 89 | + // Bob artificially small key pair |
| 90 | + AutoSeededRandomPool prng; |
| 91 | + RSA::PrivateKey priv_key; |
| 92 | + |
| 93 | + priv_key.GenerateRandomWithKeySize(prng, 64U); |
| 94 | + RSA::PublicKey pub_key(priv_key); |
| 95 | + |
| 96 | + // Convenience |
| 97 | + const Integer &n = pub_key.GetModulus(); |
| 98 | + const Integer &e = pub_key.GetPublicExponent(); |
| 99 | + const Integer &d = priv_key.GetPrivateExponent(); |
| 100 | + |
| 101 | + // Print params |
| 102 | + cout << "Pub mod: " << std::hex << pub_key.GetModulus() << endl; |
| 103 | + cout << "Pub exp: " << std::hex << e << endl; |
| 104 | + cout << "Priv mod: " << std::hex << priv_key.GetModulus() << endl; |
| 105 | + cout << "Priv exp: " << std::hex << d << endl; |
| 106 | + const char* MESSAGE = "secret"; |
| 107 | + SecByteBlock orig((const byte *)MESSAGE, 6U); |
| 108 | + |
| 109 | + // Alice blinding |
| 110 | + Integer r; |
| 111 | + do { |
| 112 | + r.Randomize(prng, Integer::One(), n - Integer::One()); |
| 113 | + } while (!RelativelyPrime(r, n)); |
| 114 | + CryptoPP::Integer ss = blind_signature(orig, |
| 115 | + r, |
| 116 | + pub_key, |
| 117 | + priv_key); |
| 118 | + // Alice checks s(s'(x)) = x. This is from Chaum's paper |
| 119 | + Integer c = pub_key.ApplyFunction(ss); |
| 120 | + cout << "Check sign: " << c << endl; |
| 121 | + //if (c != mm) { |
| 122 | + // throw runtime_error("Alice cross-check failed"); |
| 123 | + // } |
| 124 | + // Alice remove blinding |
| 125 | + Integer s = unblind_signature(ss, r, pub_key); |
| 126 | + cout << "Unblind sign: " << s << endl; |
| 127 | + |
| 128 | + // Eve verifies |
| 129 | + Integer v = verify(ss, r, pub_key); |
| 130 | + cout << "Verify: " << std::hex << v << endl; |
| 131 | + |
| 132 | + // Scratch |
| 133 | + SecByteBlock buff_2, buff_3; |
| 134 | + |
| 135 | + // Convert to a string |
| 136 | + size_t req = v.MinEncodedSize(); |
| 137 | + buff_2.resize(req); |
| 138 | + v.Encode(&buff_2[0], buff_2.size()); |
| 139 | + |
| 140 | + // Hash message per Rabin (1979) |
| 141 | + const size_t sig_size = UnsignedMin(SHA256::BLOCKSIZE, n.ByteCount()); |
| 142 | + buff_3.resize(sig_size); |
| 143 | + SHA256 hash_2; |
| 144 | + hash_2.CalculateTruncatedDigest(buff_3, buff_3.size(), orig, orig.size()); |
| 145 | + |
| 146 | + // Constant time compare |
| 147 | + bool equal = buff_2.size() == buff_3.size() && |
| 148 | + VerifyBufsEqual(buff_2.data(), buff_3.data(), buff_3.size()); |
| 149 | + |
| 150 | + if (!equal) { |
| 151 | + throw runtime_error("Eve verified failed"); |
| 152 | + } |
| 153 | + cout << "Verified signature" << endl; |
| 154 | + |
| 155 | + |
| 156 | +} |
| 157 | + |
| 158 | +TEST_CASE("cryptopp", "[crypto]") { |
| 159 | + using namespace CryptoPP; |
| 160 | + using std::cout; |
| 161 | + using std::endl; |
| 162 | + using std::runtime_error; |
| 163 | + |
| 164 | + // Bob artificially small key pair |
| 165 | + AutoSeededRandomPool prng; |
| 166 | + RSA::PrivateKey priv_key; |
| 167 | + |
| 168 | + priv_key.GenerateRandomWithKeySize(prng, 64U); |
| 169 | + RSA::PublicKey pub_key(priv_key); |
| 170 | + |
| 171 | + // Convenience |
| 172 | + const Integer &n = pub_key.GetModulus(); |
| 173 | + const Integer &e = pub_key.GetPublicExponent(); |
| 174 | + const Integer &d = priv_key.GetPrivateExponent(); |
| 175 | + |
| 176 | + // Print params |
| 177 | + cout << "Pub mod: " << std::hex << pub_key.GetModulus() << endl; |
| 178 | + cout << "Pub exp: " << std::hex << e << endl; |
| 179 | + cout << "Priv mod: " << std::hex << priv_key.GetModulus() << endl; |
| 180 | + cout << "Priv exp: " << std::hex << d << endl; |
| 181 | + |
| 182 | + // For sizing the hashed message buffer. This should be SHA256 size. |
| 183 | + const size_t sig_size = UnsignedMin(SHA256::BLOCKSIZE, n.ByteCount()); |
| 184 | + |
| 185 | + // Scratch |
| 186 | + SecByteBlock buff_1, buff_2, buff_3; |
| 187 | + |
| 188 | + // Alice original message to be signed by Bob |
| 189 | + SecByteBlock orig((const byte *)"secret", 6U); |
| 190 | + Integer m(orig.data(), orig.size()); |
| 191 | + cout << "Message: " << std::hex << m << endl; |
| 192 | + |
| 193 | + // Hash message per Rabin (1979) |
| 194 | + buff_1.resize(sig_size); |
| 195 | + SHA256 hash_1; |
| 196 | + hash_1.CalculateTruncatedDigest(buff_1, buff_1.size(), orig, orig.size()); |
| 197 | + |
| 198 | + // H(m) as Integer |
| 199 | + Integer hm(buff_1.data(), buff_1.size()); |
| 200 | + cout << "H(m): " << std::hex << hm << endl; |
| 201 | + |
| 202 | + // Alice blinding |
| 203 | + Integer r; |
| 204 | + do { |
| 205 | + r.Randomize(prng, Integer::One(), n - Integer::One()); |
| 206 | + } while (!RelativelyPrime(r, n)); |
| 207 | + |
| 208 | + // Blinding factor |
| 209 | + Integer b = a_exp_b_mod_c(r, e, n); |
| 210 | + cout << "Random: " << std::hex << b << endl; |
| 211 | + |
| 212 | + // Alice blinded message |
| 213 | + Integer mm = a_times_b_mod_c(hm, b, n); |
| 214 | + cout << "Blind msg: " << std::hex << mm << endl; |
| 215 | + |
| 216 | + // Bob sign |
| 217 | + Integer ss = priv_key.CalculateInverse(prng, mm); |
| 218 | + cout << "Blind sign: " << ss << endl; |
| 219 | + |
| 220 | + // Alice checks s(s'(x)) = x. This is from Chaum's paper |
| 221 | + Integer c = pub_key.ApplyFunction(ss); |
| 222 | + cout << "Check sign: " << c << endl; |
| 223 | + if (c != mm) { |
| 224 | + throw runtime_error("Alice cross-check failed"); |
| 225 | + } |
| 226 | + // Alice remove blinding |
| 227 | + Integer s = a_times_b_mod_c(ss, r.InverseMod(n), n); |
| 228 | + cout << "Unblind sign: " << s << endl; |
| 229 | + |
| 230 | + // Eve verifies |
| 231 | + Integer v = pub_key.ApplyFunction(s); |
| 232 | + cout << "Verify: " << std::hex << v << endl; |
| 233 | + |
| 234 | + // Convert to a string |
| 235 | + size_t req = v.MinEncodedSize(); |
| 236 | + buff_2.resize(req); |
| 237 | + v.Encode(&buff_2[0], buff_2.size()); |
| 238 | + |
| 239 | + // Hash message per Rabin (1979) |
| 240 | + buff_3.resize(sig_size); |
| 241 | + SHA256 hash_2; |
| 242 | + hash_2.CalculateTruncatedDigest(buff_3, buff_3.size(), orig, orig.size()); |
| 243 | + |
| 244 | + // Constant time compare |
| 245 | + bool equal = buff_2.size() == buff_3.size() && |
| 246 | + VerifyBufsEqual(buff_2.data(), buff_3.data(), buff_3.size()); |
| 247 | + |
| 248 | + if (!equal) { |
| 249 | + throw runtime_error("Eve verified failed"); |
| 250 | + } |
| 251 | + cout << "Verified signature" << endl; |
| 252 | +} |
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