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Merge pull request #4097
61caab8
crypto: remove slight bias in key generation due to modulo (moneromooo-monero)
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commit
3fde902394
5 changed files with 77 additions and 10 deletions
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@ -93,12 +93,32 @@ namespace crypto {
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generate_random_bytes_not_thread_safe(N, bytes);
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}
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static inline bool less32(const unsigned char *k0, const unsigned char *k1)
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{
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for (int n = 31; n >= 0; --n)
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{
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if (k0[n] < k1[n])
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return true;
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if (k0[n] > k1[n])
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return false;
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}
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return false;
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}
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void random32_unbiased(unsigned char *bytes)
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{
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// l = 2^252 + 27742317777372353535851937790883648493.
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// it fits 15 in 32 bytes
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static const unsigned char limit[32] = { 0xe3, 0x6a, 0x67, 0x72, 0x8b, 0xce, 0x13, 0x29, 0x8f, 0x30, 0x82, 0x8c, 0x0b, 0xa4, 0x10, 0x39, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xf0 };
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do
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{
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generate_random_bytes_thread_safe(32, bytes);
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} while (!less32(bytes, limit)); // should be good about 15/16 of the time
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sc_reduce32(bytes);
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}
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/* generate a random 32-byte (256-bit) integer and copy it to res */
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static inline void random_scalar(ec_scalar &res) {
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unsigned char tmp[64];
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generate_random_bytes_thread_safe(64, tmp);
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sc_reduce(tmp);
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memcpy(&res, tmp, 32);
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random32_unbiased((unsigned char*)res.data);
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}
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void hash_to_scalar(const void *data, size_t length, ec_scalar &res) {
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