#include #include #include #include "crypto_hash_sha512.h" #include "crypto_sign_ed25519.h" #include "crypto_verify_32.h" #include "ed25519_ref10.h" #include "private/curve25519_ref10.h" #include "utils.h" #ifndef ED25519_COMPAT static int crypto_sign_check_S_lt_L(const unsigned char *S) { /* 2^252+27742317777372353535851937790883648493 */ static const unsigned char L[32] = { 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10 }; unsigned char c = 0; unsigned char n = 1; unsigned int i = 32; do { i--; c |= ((S[i] - L[i]) >> 8) & n; n &= ((S[i] ^ L[i]) - 1) >> 8; } while (i != 0); return -(c == 0); } int _crypto_sign_ed25519_small_order(const unsigned char p[32]) { CRYPTO_ALIGN(16) static const unsigned char blacklist[][32] = { /* 0 (order 4) */ { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, /* 1 (order 1) */ { 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 }, /* 2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ { 0x26, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x05 }, /* 55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ { 0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a }, /* p-1 (order 2) */ { 0x13, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4, 0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6, 0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x85 }, /* p (order 4) */ { 0xb4, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b, 0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39, 0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0xfa }, /* p+1 (order 1) */ { 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f }, /* p+2707385501144840649318225287225658788936804267575313519463743609750303402022 (order 8) */ { 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f }, /* p+55188659117513257062467267217118295137698188065244968500265048394206261417927 (order 8) */ { 0xee, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f }, /* 2p-1 (order 2) */ { 0xd9, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, /* 2p (order 4) */ { 0xda, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, /* 2p+1 (order 1) */ { 0xdb, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff } }; size_t i, j; unsigned char c; for (i = 0; i < sizeof blacklist / sizeof blacklist[0]; i++) { c = 0; for (j = 0; j < 32; j++) { c |= p[j] ^ blacklist[i][j]; } if (c == 0) { return 1; } } return 0; } #endif int _crypto_sign_ed25519_verify_detached(const unsigned char *sig, const unsigned char *m, unsigned long long mlen, const unsigned char *pk, int prehashed) { crypto_hash_sha512_state hs; unsigned char h[64]; unsigned char rcheck[32]; unsigned int i; unsigned char d = 0; ge_p3 A; ge_p2 R; #ifndef ED25519_COMPAT if (crypto_sign_check_S_lt_L(sig + 32) != 0 || _crypto_sign_ed25519_small_order(sig) != 0) { return -1; } #else if (sig[63] & 224) { return -1; } #endif if (ge_frombytes_negate_vartime(&A, pk) != 0) { return -1; } for (i = 0; i < 32; ++i) { d |= pk[i]; } if (d == 0) { return -1; } _crypto_sign_ed25519_ref10_hinit(&hs, prehashed); crypto_hash_sha512_update(&hs, sig, 32); crypto_hash_sha512_update(&hs, pk, 32); crypto_hash_sha512_update(&hs, m, mlen); crypto_hash_sha512_final(&hs, h); sc_reduce(h); ge_double_scalarmult_vartime(&R, h, &A, sig + 32); ge_tobytes(rcheck, &R); return crypto_verify_32(rcheck, sig) | (-(rcheck == sig)) | sodium_memcmp(sig, rcheck, 32); } int crypto_sign_ed25519_verify_detached(const unsigned char *sig, const unsigned char *m, unsigned long long mlen, const unsigned char *pk) { return _crypto_sign_ed25519_verify_detached(sig, m, mlen, pk, 0); } int crypto_sign_ed25519_open(unsigned char *m, unsigned long long *mlen_p, const unsigned char *sm, unsigned long long smlen, const unsigned char *pk) { unsigned long long mlen; if (smlen < 64 || smlen - 64 > crypto_sign_ed25519_MESSAGEBYTES_MAX) { goto badsig; } mlen = smlen - 64; if (crypto_sign_ed25519_verify_detached(sm, sm + 64, mlen, pk) != 0) { memset(m, 0, mlen); goto badsig; } if (mlen_p != NULL) { *mlen_p = mlen; } memmove(m, sm + 64, mlen); return 0; badsig: if (mlen_p != NULL) { *mlen_p = 0; } return -1; }