// // Created by Andrew on 09/04/2023. // #include "header.h" void unpackServer(ul32 *osFamily, ul32 *hash, ul32 *sig, ul32 *prefix, ul32 *raw) { osFamily[0] = raw[0] & 0x7ff; hash[0] = ((raw[0] >> 11) | (raw[1] << 21)) & 0x7fffffff; sig[0] = (raw[1] >> 10) | (raw[2] << 22); sig[1] = ((raw[2] >> 10) | (raw[3] << 22)) & 0x3fffffff; prefix[0] = (raw[3] >> 8) & 0x3ff; } void packServer(ul32 *raw, ul32 *osFamily, ul32 *hash, ul32 *sig, ul32 *prefix) { raw[0] = osFamily[0] | (hash[0] << 11); raw[1] = (hash[0] >> 21) | (sig[0] << 10); raw[2] = (sig[0] >> 22) | (sig[1] << 10); raw[3] = (sig[1] >> 22) | (prefix[0] << 8); } void verifyServerKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *public_key, char *cdKey) { byte key[25]; int i, j, k; BN_CTX *ctx = BN_CTX_new(); for (i = 0, k = 0; i < strlen(cdKey); i++) { for (j = 0; j < 24; j++) { if (cdKey[i] != '-' && cdKey[i] == charset[j]) { key[k++] = j; break; } assert(j < 24); } if (k >= 25) break; } ul32 bkey[4] = {0}; ul32 osfamily[1], hash[1], sig[2], prefix[1]; unbase24(bkey, key); printf("%.8x %.8x %.8x %.8x\n", bkey[3], bkey[2], bkey[1], bkey[0]); unpackServer(osfamily, hash, sig, prefix, bkey); printf("OS Family: %u\nHash: %.8x\nSig: %.8x %.8x\nPrefix: %.8x\n", osfamily[0], hash[0], sig[1], sig[0], prefix[0]); byte buf[FIELD_BYTES_2003], md[SHA_DIGEST_LENGTH]; ul32 h1[2]; SHA_CTX h_ctx; /* h1 = SHA-1(5D || OS Family || Hash || Prefix || 00 00) */ SHA1_Init(&h_ctx); buf[0] = 0x5d; buf[1] = osfamily[0] & 0xff; buf[2] = (osfamily[0] & 0xff00) >> 8; buf[3] = hash[0] & 0xff; buf[4] = (hash[0] & 0xff00) >> 8; buf[5] = (hash[0] & 0xff0000) >> 16; buf[6] = (hash[0] & 0xff000000) >> 24; buf[7] = prefix[0] & 0xff; buf[8] = (prefix[0] & 0xff00) >> 8; buf[9] = buf[10] = 0; SHA1_Update(&h_ctx, buf, 11); SHA1_Final(md, &h_ctx); h1[0] = md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24); h1[1] = (md[4] | (md[5] << 8) | (md[6] << 16) | (md[7] << 24)) >> 2; h1[1] &= 0x3FFFFFFF; printf("h1: %.8x %.8x\n", h1[1], h1[0]); BIGNUM *s, *h, *x, *y; x = BN_new(); y = BN_new(); endiannessConvert((byte *) sig, 8); endiannessConvert((byte *) h1, 8); s = BN_bin2bn((byte *)sig, 8, NULL); h = BN_bin2bn((byte *)h1, 8, NULL); EC_POINT *r = EC_POINT_new(eCurve); EC_POINT *t = EC_POINT_new(eCurve); /* r = sig*(sig*generator + h1*public_key) */ EC_POINT_mul(eCurve, t, NULL, generator, s, ctx); EC_POINT_mul(eCurve, r, NULL, public_key, h, ctx); EC_POINT_add(eCurve, r, r, t, ctx); EC_POINT_mul(eCurve, r, NULL, r, s, ctx); EC_POINT_get_affine_coordinates_GFp(eCurve, r, x, y, ctx); ul32 h2[1]; /* h2 = SHA-1(79 || OS Family || r.x || r.y) */ SHA1_Init(&h_ctx); buf[0] = 0x79; buf[1] = osfamily[0] & 0xff; buf[2] = (osfamily[0] & 0xff00) >> 8; SHA1_Update(&h_ctx, buf, 3); memset(buf, 0, FIELD_BYTES_2003); BN_bn2bin(x, buf); endiannessConvert((byte *) buf, FIELD_BYTES_2003); SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003); memset(buf, 0, FIELD_BYTES_2003); BN_bn2bin(y, buf); endiannessConvert((byte *) buf, FIELD_BYTES_2003); SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003); SHA1_Final(md, &h_ctx); h2[0] = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) & 0x7fffffff; printf("Calculated hash: %.8x\n", h2[0]); if (h2[0] == hash[0]) printf("Key VALID\n"); else printf("Key invalid\n"); BN_free(s); BN_free(h); BN_free(x); BN_free(y); EC_POINT_free(r); EC_POINT_free(t); BN_CTX_free(ctx); } void generateServerKey(byte *pKey, EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM *privateKey, ul32 *osFamily, ul32 *prefix) { BN_CTX *ctx = BN_CTX_new(); BIGNUM *k = BN_new(); BIGNUM *s = BN_new(); BIGNUM *x = BN_new(); BIGNUM *y = BN_new(); BIGNUM *b = BN_new(); EC_POINT *r = EC_POINT_new(eCurve); ul32 bkey[4]; byte buf[FIELD_BYTES_2003], md[20]; ul32 h1[2]; ul32 hash[1], sig[2]; SHA_CTX h_ctx; for (;;) { /* r = k*generator */ BN_rand(k, FIELD_BITS_2003, -1, 0); EC_POINT_mul(eCurve, r, NULL, generator, k, ctx); EC_POINT_get_affine_coordinates(eCurve, r, x, y, ctx); /* hash = SHA-1(79 || OS Family || r.x || r.y) */ SHA1_Init(&h_ctx); buf[0] = 0x79; buf[1] = osFamily[0] & 0xff; buf[2] = (osFamily[0] & 0xff00) >> 8; SHA1_Update(&h_ctx, buf, 3); memset(buf, 0, FIELD_BYTES_2003); BN_bn2bin(x, buf); endiannessConvert((byte *) buf, FIELD_BYTES_2003); SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003); memset(buf, 0, FIELD_BYTES_2003); BN_bn2bin(y, buf); endiannessConvert((byte *) buf, FIELD_BYTES_2003); SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003); SHA1_Final(md, &h_ctx); hash[0] = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) & 0x7fffffff; /* h1 = SHA-1(5D || OS Family || Hash || Prefix || 00 00) */ SHA1_Init(&h_ctx); buf[0] = 0x5d; buf[1] = osFamily[0] & 0xff; buf[2] = (osFamily[0] & 0xff00) >> 8; buf[3] = hash[0] & 0xff; buf[4] = (hash[0] & 0xff00) >> 8; buf[5] = (hash[0] & 0xff0000) >> 16; buf[6] = (hash[0] & 0xff000000) >> 24; buf[7] = prefix[0] & 0xff; buf[8] = (prefix[0] & 0xff00) >> 8; buf[9] = buf[10] = 0; SHA1_Update(&h_ctx, buf, 11); SHA1_Final(md, &h_ctx); h1[0] = md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24); h1[1] = (md[4] | (md[5] << 8) | (md[6] << 16) | (md[7] << 24)) >> 2; h1[1] &= 0x3FFFFFFF; printf("h1: %.8x %.8x\n", h1[1], h1[0]); /* s = ( -h1*privateKey + sqrt( (h1*privateKey)^2 + 4k ) ) / 2 */ endiannessConvert((byte *) h1, 8); BN_bin2bn((byte *)h1, 8, b); BN_mod_mul(b, b, privateKey, order, ctx); BN_copy(s, b); BN_mod_sqr(s, s, order, ctx); BN_lshift(k, k, 2); BN_add(s, s, k); BN_mod_sqrt(s, s, order, ctx); BN_mod_sub(s, s, b, order, ctx); if (BN_is_odd(s)) { BN_add(s, s, order); } BN_rshift1(s, s); sig[0] = sig[1] = 0; BN_bn2bin(s, (byte *)sig); endiannessConvert((byte *) sig, BN_num_bytes(s)); if (sig[1] < 0x40000000) break; } packServer(bkey, osFamily, hash, sig, prefix); printf("OS family: %u\nHash: %.8x\nSig: %.8x %.8x\nPrefix: %.8x\n", osFamily[0], hash[0], sig[1], sig[0], prefix[0]); printf("%.8x %.8x %.8x %.8x\n", bkey[3], bkey[2], bkey[1], bkey[0]); base24(pKey, bkey); BN_free(k); BN_free(s); BN_free(x); BN_free(y); BN_free(b); EC_POINT_free(r); BN_CTX_free(ctx); }