mirror of
https://github.com/Neo-Desktop/WindowsXPKg
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Server Algorithm uplift
This commit is contained in:
Andrew
parent
475241e608
commit
7944a9b15f
23
src/header.h
23
src/header.h
@ -24,6 +24,7 @@
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#include <openssl/sha.h>
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#include <openssl/rand.h>
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// Algorithm macros
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#define PK_LENGTH 25
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#define NULL_TERMINATOR 1
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@ -32,19 +33,25 @@
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#define FIELD_BITS_2003 512
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#define FIELD_BYTES_2003 64
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// Type definitions
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typedef uint8_t BYTE;
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typedef uint16_t WORD;
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typedef uint32_t DWORD;
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typedef uint64_t QWORD;
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// Global variables
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extern char charset[];
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// util.cpp
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void endian(uint8_t *data, int length);
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EC_GROUP *initializeEllipticCurve(
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const std::string pSel,
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const std::string aSel,
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const std::string bSel,
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const std::string generatorXSel,
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const std::string generatorYSel,
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const std::string publicKeyXSel,
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const std::string publicKeyYSel,
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std::string pSel,
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std::string aSel,
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std::string bSel,
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std::string generatorXSel,
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std::string generatorYSel,
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std::string publicKeyXSel,
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std::string publicKeyYSel,
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EC_POINT **genPoint,
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EC_POINT **pubPoint
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);
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@ -74,7 +81,5 @@ bool verifyXPKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *publicKey, cha
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void generateXPKey(char *pKey, EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM *privateKey, uint32_t *pRaw);
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// server.cpp
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int verify2003(EC_GROUP *ec, EC_POINT *generator, EC_POINT *public_key, char *cdkey);
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void generate2003(char *pkey, EC_GROUP *ec, EC_POINT *generator, BIGNUM *order, BIGNUM *priv, uint32_t *osfamily, uint32_t *prefix);
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#endif //WINDOWSXPKG_HEADER_H
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456
src/server.cpp
456
src/server.cpp
@ -2,226 +2,310 @@
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char charset[] = "BCDFGHJKMPQRTVWXY2346789";
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void unpack2003(uint32_t *osfamily, uint32_t *hash, uint32_t *sig, uint32_t *prefix, uint32_t *raw)
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{
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osfamily[0] = raw[0] & 0x7ff;
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hash[0] = ((raw[0] >> 11) | (raw[1] << 21)) & 0x7fffffff;
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sig[0] = (raw[1] >> 10) | (raw[2] << 22);
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sig[1] = ((raw[2] >> 10) | (raw[3] << 22)) & 0x3fffffff;
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prefix[0] = (raw[3] >> 8) & 0x3ff;
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void unpackServer(DWORD *osFamily, DWORD *hash, DWORD *sig, DWORD *prefix, DWORD *raw) {
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// We're assuming that the quantity of information within the product key is at most 114 bits.
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// log2(24^25) = 114.
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// OS Family = Bits [0..10] -> 11 bits
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osFamily[0] = raw[0] & 0x7ff;
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// Hash = Bits [11..41] -> 31 bits
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hash[0] = ((raw[0] >> 11) | (raw[1] << 21)) & 0x7fffffff;
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// Signature = Bits [42..103] -> 62 bits
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sig[0] = (raw[1] >> 10) | (raw[2] << 22);
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sig[1] = ((raw[2] >> 10) | (raw[3] << 22)) & 0x3fffffff;
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// Prefix = Bits [104..113] -> 10 bits
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prefix[0] = (raw[3] >> 8) & 0x3ff;
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}
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void pack2003(uint32_t *raw, uint32_t *osfamily, uint32_t *hash, uint32_t *sig, uint32_t *prefix)
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{
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raw[0] = osfamily[0] | (hash[0] << 11);
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raw[1] = (hash[0] >> 21) | (sig[0] << 10);
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raw[2] = (sig[0] >> 22) | (sig[1] << 10);
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raw[3] = (sig[1] >> 22) | (prefix[0] << 8);
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void packServer(DWORD *raw, DWORD *osFamily, DWORD *hash, DWORD *sig, DWORD *prefix) {
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raw[0] = osFamily[0] | (hash[0] << 11);
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raw[1] = (hash[0] >> 21) | (sig[0] << 10);
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raw[2] = (sig[0] >> 22) | (sig[1] << 10);
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raw[3] = (sig[1] >> 22) | (prefix[0] << 8);
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}
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int verify2003(EC_GROUP *ec, EC_POINT *generator, EC_POINT *public_key, char *cdkey)
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{
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char key[25];
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BN_CTX *ctx = BN_CTX_new();
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for (int i = 0, k = 0; i < strlen(cdkey); i++) {
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for (int j = 0; j < 24; j++) {
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if (cdkey[i] != '-' && cdkey[i] == charset[j]) {
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key[k++] = j;
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break;
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}
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assert(j < 24);
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}
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if (k >= 25) break;
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}
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bool verifyServerKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *publicKey, char *cdKey) {
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BN_CTX *context = BN_CTX_new();
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uint32_t bkey[4] = {0};
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uint32_t osfamily[1], hash[1], sig[2], prefix[1];
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// Convert Base24 CD-key to bytecode.
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DWORD osFamily, hash, sig[2], prefix;
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DWORD bKey[4]{};
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unbase24(bkey, key);
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unbase24(bKey, cdKey);
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printf("%.8ix %.8ix %.8ix %.8ix\n", bkey[3], bkey[2], bkey[1], bkey[0]);
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unpack2003(osfamily, hash, sig, prefix, bkey);
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// Extract segments from the bytecode and reverse the signature.
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unpackServer(&osFamily, &hash, sig, &prefix, bKey);
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endian((BYTE *)sig, 8);
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printf("OS Family: %iu\nHash: %.8ix\nSig: %.8ix %.8ix\nPrefix: %.8ix\n", osfamily[0], hash[0], sig[1], sig[0], prefix[0]);
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BYTE t[FIELD_BYTES_2003]{}, md[SHA_DIGEST_LENGTH]{};
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DWORD checkHash, newHash[2]{};
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uint8_t buf[FIELD_BYTES_2003], md[20];
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uint32_t h1[2];
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SHA_CTX h_ctx;
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SHA_CTX hContext;
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/* h1 = SHA-1(5D || OS Family || Hash || Prefix || 00 00) */
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SHA1_Init(&h_ctx);
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buf[0] = 0x5d;
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buf[1] = osfamily[0] & 0xff;
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buf[2] = (osfamily[0] & 0xff00) >> 8;
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buf[3] = hash[0] & 0xff;
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buf[4] = (hash[0] & 0xff00) >> 8;
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buf[5] = (hash[0] & 0xff0000) >> 16;
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buf[6] = (hash[0] & 0xff000000) >> 24;
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buf[7] = prefix[0] & 0xff;
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buf[8] = (prefix[0] & 0xff00) >> 8;
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buf[9] = buf[10] = 0;
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SHA1_Update(&h_ctx, buf, 11);
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SHA1_Final(md, &h_ctx);
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h1[0] = md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24);
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h1[1] = (md[4] | (md[5] << 8) | (md[6] << 16) | (md[7] << 24)) >> 2;
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h1[1] &= 0x3FFFFFFF;
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printf("h1: %.8ix %.8ix\n", h1[1], h1[0]);
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// H = SHA-1(5D || OS Family || Hash || Prefix || 00 00)
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SHA1_Init(&hContext);
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BIGNUM *s, *h, *x, *y;
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x = BN_new();
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y = BN_new();
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endian((uint8_t *)sig, 8);
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endian((uint8_t *)h1, 8);
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s = BN_bin2bn((uint8_t *)sig, 8, nullptr);
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h = BN_bin2bn((uint8_t *)h1, 8, nullptr);
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t[0] = 0x5D;
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t[1] = (osFamily & 0xff);
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t[2] = (osFamily & 0xff00) >> 8;
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t[3] = (hash & 0xff);
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t[4] = (hash & 0xff00) >> 8;
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t[5] = (hash & 0xff0000) >> 16;
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t[6] = (hash & 0xff000000) >> 24;
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t[7] = (prefix & 0xff);
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t[8] = (prefix & 0xff00) >> 8;
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t[9] = 0x00;
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t[10] = 0x00;
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EC_POINT *r = EC_POINT_new(ec);
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EC_POINT *t = EC_POINT_new(ec);
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/* r = sig*(sig*generator + h1*public_key) */
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EC_POINT_mul(ec, t, nullptr, generator, s, ctx);
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EC_POINT_mul(ec, r, nullptr, public_key, h, ctx);
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EC_POINT_add(ec, r, r, t, ctx);
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EC_POINT_mul(ec, r, nullptr, r, s, ctx);
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EC_POINT_get_affine_coordinates(ec, r, x, y, ctx);
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SHA1_Update(&hContext, t, 11);
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SHA1_Final(md, &hContext);
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uint32_t h2[1];
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/* h2 = SHA-1(79 || OS Family || r.x || r.y) */
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SHA1_Init(&h_ctx);
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buf[0] = 0x79;
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buf[1] = osfamily[0] & 0xff;
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buf[2] = (osfamily[0] & 0xff00) >> 8;
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SHA1_Update(&h_ctx, buf, 3);
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// First word.
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newHash[0] = md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24);
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memset(buf, 0, FIELD_BYTES_2003);
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BN_bn2bin(x, buf);
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endian((uint8_t *)buf, FIELD_BYTES_2003);
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SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003);
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// Second word, right shift 2 bits.
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newHash[1] = (md[4] | (md[5] << 8) | (md[6] << 16) | (md[7] << 24)) >> 2;
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newHash[1] &= 0x3FFFFFFF;
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memset(buf, 0, FIELD_BYTES_2003);
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BN_bn2bin(y, buf);
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endian((uint8_t *)buf, FIELD_BYTES_2003);
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SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003);
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endian((BYTE *)newHash, 8);
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SHA1_Final(md, &h_ctx);
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h2[0] = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) & 0x7fffffff;
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printf("Calculated hash: %.8ix\n", h2[0]);
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BIGNUM *x = BN_new();
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BIGNUM *y = BN_new();
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BIGNUM *s = BN_bin2bn((BYTE *)sig, 8, nullptr);
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BIGNUM *e = BN_bin2bn((BYTE *)newHash, 8, nullptr);
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BN_free(s);
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BN_free(h);
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BN_free(x);
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BN_free(y);
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EC_POINT_free(r);
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EC_POINT_free(t);
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BN_CTX_free(ctx);
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EC_POINT *u = EC_POINT_new(eCurve);
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EC_POINT *v = EC_POINT_new(eCurve);
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if (h2[0] == hash[0]) {
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printf("Key VALID\n");
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return 1;
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}
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else {
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printf("Key invalid\n");
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return 0;
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}
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// EC_POINT_mul calculates r = generator * n + q * m.
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// v = s * (s * generator + e * publicKey)
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// u = generator * s
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EC_POINT_mul(eCurve, u, nullptr, generator, s, context);
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// v = publicKey * e
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EC_POINT_mul(eCurve, v, nullptr, publicKey, e, context);
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// v += u
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EC_POINT_add(eCurve, v, u, v, context);
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// v *= s
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EC_POINT_mul(eCurve, v, nullptr, v, s, context);
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// EC_POINT_get_affine_coordinates() sets x and y, either of which may be nullptr, to the corresponding coordinates of p.
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// x = v.x; y = v.y;
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EC_POINT_get_affine_coordinates_GFp(eCurve, v, x, y, context);
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// Hash = First31(SHA-1(79 || OS Family || v.x || v.y))
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SHA1_Init(&hContext);
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t[0] = 0x79;
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t[1] = (osFamily & 0xff);
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t[2] = (osFamily & 0xff00) >> 8;
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// Hash chunk of data.
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SHA1_Update(&hContext, t, 3);
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// Empty buffer, place v.y in little-endian.
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memset(t, 0, FIELD_BYTES_2003);
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BN_bn2bin(x, t);
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endian(t, FIELD_BYTES_2003);
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// Hash chunk of data.
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SHA1_Update(&hContext, t, FIELD_BYTES_2003);
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// Empty buffer, place v.y in little-endian.
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memset(t, 0, FIELD_BYTES_2003);
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BN_bn2bin(y, t);
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endian(t, FIELD_BYTES_2003);
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// Hash chunk of data.
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SHA1_Update(&hContext, t, FIELD_BYTES_2003);
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// Store the final message from hContext in md.
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SHA1_Final(md, &hContext);
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// Hash = First31(SHA-1(79 || OS Family || v.x || v.y))
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checkHash = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) & 0x7fffffff;
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BN_free(s);
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BN_free(e);
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BN_free(x);
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BN_free(y);
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BN_CTX_free(context);
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EC_POINT_free(v);
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EC_POINT_free(u);
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// If we managed to generate a key with the same hash, the key is correct.
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return checkHash == hash;
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}
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void generate2003(char *pkey, EC_GROUP *ec, EC_POINT *generator, BIGNUM *order, BIGNUM *priv, uint32_t *osfamily, uint32_t *prefix)
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{
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BN_CTX *ctx = BN_CTX_new();
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void generateServerKey(char *pKey, EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM *privateKey, DWORD *osFamily, DWORD *prefix) {
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EC_POINT *r = EC_POINT_new(eCurve);
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BN_CTX *ctx = BN_CTX_new();
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BIGNUM *k = BN_new();
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BIGNUM *s = BN_new();
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BIGNUM *x = BN_new();
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BIGNUM *y = BN_new();
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BIGNUM *b = BN_new();
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EC_POINT *r = EC_POINT_new(ec);
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DWORD bKey[4]{},
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bSig[2]{};
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uint32_t bkey[4];
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uint8_t buf[FIELD_BYTES_2003], md[20];
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uint32_t h1[2];
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uint32_t hash[1], sig[2];
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do {
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BIGNUM *c = BN_new();
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BIGNUM *s = BN_new();
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BIGNUM *x = BN_new();
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BIGNUM *y = BN_new();
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BIGNUM *b = BN_new();
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SHA_CTX h_ctx;
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DWORD hash = 0, h[2]{};
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for (;;) {
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/* r = k*generator */
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BN_pseudo_rand(k, FIELD_BITS_2003, -1, 0);
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EC_POINT_mul(ec, r, nullptr, generator, k, ctx);
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EC_POINT_get_affine_coordinates_GFp(ec, r, x, y, ctx);
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memset(bKey, 0, 4);
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memset(bSig, 0, 2);
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/* hash = SHA-1(79 || OS Family || r.x || r.y) */
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SHA1_Init(&h_ctx);
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buf[0] = 0x79;
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buf[1] = osfamily[0] & 0xff;
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buf[2] = (osfamily[0] & 0xff00) >> 8;
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SHA1_Update(&h_ctx, buf, 3);
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// Generate a random number c consisting of 512 bits without any constraints.
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BN_rand(c, FIELD_BITS_2003, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY);
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memset(buf, 0, FIELD_BYTES_2003);
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BN_bn2bin(x, buf);
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endian((uint8_t *)buf, FIELD_BYTES_2003);
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SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003);
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// r = generator * c
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EC_POINT_mul(eCurve, r, nullptr, generator, c, ctx);
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memset(buf, 0, FIELD_BYTES_2003);
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BN_bn2bin(y, buf);
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endian((uint8_t *)buf, FIELD_BYTES_2003);
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SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003);
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// x = r.x; y = r.y;
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EC_POINT_get_affine_coordinates(eCurve, r, x, y, ctx);
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SHA1_Final(md, &h_ctx);
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hash[0] = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) & 0x7fffffff;
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SHA_CTX hContext;
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BYTE md[SHA_DIGEST_LENGTH]{}, buf[FIELD_BYTES_2003]{};
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/* h1 = SHA-1(5D || OS Family || Hash || Prefix || 00 00) */
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SHA1_Init(&h_ctx);
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buf[0] = 0x5d;
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buf[1] = osfamily[0] & 0xff;
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buf[2] = (osfamily[0] & 0xff00) >> 8;
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buf[3] = hash[0] & 0xff;
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buf[4] = (hash[0] & 0xff00) >> 8;
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buf[5] = (hash[0] & 0xff0000) >> 16;
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buf[6] = (hash[0] & 0xff000000) >> 24;
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buf[7] = prefix[0] & 0xff;
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buf[8] = (prefix[0] & 0xff00) >> 8;
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buf[9] = buf[10] = 0;
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SHA1_Update(&h_ctx, buf, 11);
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SHA1_Final(md, &h_ctx);
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h1[0] = md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24);
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h1[1] = (md[4] | (md[5] << 8) | (md[6] << 16) | (md[7] << 24)) >> 2;
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h1[1] &= 0x3FFFFFFF;
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printf("h1: %.8ix %.8ix\n", h1[1], h1[0]);
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// Hash = SHA-1(79 || OS Family || r.x || r.y)
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SHA1_Init(&hContext);
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|
||||
/* s = ( -h1*priv + sqrt( (h1*priv)^2 + 4k ) ) / 2 */
|
||||
endian((uint8_t *)h1, 8);
|
||||
BN_bin2bn((uint8_t *)h1, 8, b);
|
||||
BN_mod_mul(b, b, priv, 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, (uint8_t *)sig);
|
||||
endian((uint8_t *)sig, BN_num_bytes(s));
|
||||
if (sig[1] < 0x40000000) break;
|
||||
}
|
||||
pack2003(bkey, osfamily, hash, sig, prefix);
|
||||
printf("OS family: %iu\nHash: %.8ix\nSig: %.8ix %.8ix\nPrefix: %.8ix\n", osfamily[0], hash[0], sig[1], sig[0], prefix[0]);
|
||||
printf("%.8ix %.8ix %.8ix %.8ix\n", bkey[3], bkey[2], bkey[1], bkey[0]);
|
||||
buf[0] = 0x79;
|
||||
|
||||
base24(pkey, bkey);
|
||||
buf[1] = (*osFamily & 0xff);
|
||||
buf[2] = (*osFamily & 0xff00) >> 8;
|
||||
|
||||
BN_free(k);
|
||||
BN_free(s);
|
||||
BN_free(x);
|
||||
BN_free(y);
|
||||
BN_free(b);
|
||||
EC_POINT_free(r);
|
||||
SHA1_Update(&hContext, buf, 3);
|
||||
|
||||
BN_CTX_free(ctx);
|
||||
memset(buf, 0, FIELD_BYTES_2003);
|
||||
|
||||
BN_bn2bin(x, buf);
|
||||
endian((BYTE *)buf, FIELD_BYTES_2003);
|
||||
SHA1_Update(&hContext, buf, FIELD_BYTES_2003);
|
||||
|
||||
memset(buf, 0, FIELD_BYTES_2003);
|
||||
|
||||
BN_bn2bin(y, buf);
|
||||
endian((BYTE *)buf, FIELD_BYTES_2003);
|
||||
|
||||
SHA1_Update(&hContext, buf, FIELD_BYTES_2003);
|
||||
SHA1_Final(md, &hContext);
|
||||
|
||||
hash = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) & 0x7fffffff;
|
||||
|
||||
// H = SHA-1(5D || OS Family || Hash || Prefix || 00 00)
|
||||
SHA1_Init(&hContext);
|
||||
buf[0] = 0x5D;
|
||||
|
||||
buf[1] = (*osFamily & 0xff);
|
||||
buf[2] = (*osFamily & 0xff00) >> 8;
|
||||
|
||||
buf[3] = (hash & 0xff);
|
||||
buf[4] = (hash & 0xff00) >> 8;
|
||||
buf[5] = (hash & 0xff0000) >> 16;
|
||||
buf[6] = (hash & 0xff000000) >> 24;
|
||||
|
||||
buf[7] = prefix[0] & 0xff;
|
||||
buf[8] = (prefix[0] & 0xff00) >> 8;
|
||||
|
||||
buf[9] = 0x00;
|
||||
buf[10] = 0x00;
|
||||
|
||||
// Input length is 11 BYTEs.
|
||||
SHA1_Update(&hContext, buf, 11);
|
||||
SHA1_Final(md, &hContext);
|
||||
|
||||
// First word.
|
||||
h[0] = md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24);
|
||||
|
||||
// Second word, right shift 2 bits.
|
||||
h[1] = (md[4] | (md[5] << 8) | (md[6] << 16) | (md[7] << 24)) >> 2;
|
||||
h[1] &= 0x3FFFFFFF;
|
||||
|
||||
endian((BYTE *)h, 8);
|
||||
BN_bin2bn((BYTE *)h, 8, b);
|
||||
|
||||
/*
|
||||
* Signature * (Signature * G + H * K) = rG (mod p)
|
||||
* ↓ K = kG ↓
|
||||
*
|
||||
* Signature * (Signature * G + H * k * G) = rG (mod p)
|
||||
* Signature^2 * G + Signature * HkG = rG (mod p)
|
||||
* G(Signature^2 + Signature * HkG) = G (mod p) * r
|
||||
* ↓ G^(-1)(G (mod p)) = (mod n), n = order of G ↓
|
||||
*
|
||||
* Signature^2 + Hk * Signature = r (mod n)
|
||||
* Signature = -(b +- sqrt(D)) / 2a → Signature = (-Hk +- sqrt((Hk)^2 + 4r)) / 2
|
||||
*
|
||||
* S = (-Hk +- sqrt((Hk)^2 + 4r)) (mod n) / 2
|
||||
*
|
||||
* S = s
|
||||
* H = b
|
||||
* k = privateKey
|
||||
* n = order
|
||||
* r = c
|
||||
*
|
||||
* s = ( ( -b * privateKey +- sqrt( (b * privateKey)^2 + 4c ) ) / 2 ) % order
|
||||
*/
|
||||
|
||||
// b = (b * privateKey) % order
|
||||
BN_mod_mul(b, b, privateKey, order, ctx);
|
||||
|
||||
// s = b
|
||||
BN_copy(s, b);
|
||||
|
||||
// s = (s % order)^2
|
||||
BN_mod_sqr(s, s, order, ctx);
|
||||
|
||||
// c <<= 2 (c = 4c)
|
||||
BN_lshift(c, c, 2);
|
||||
|
||||
// s = s + c
|
||||
BN_add(s, s, c);
|
||||
|
||||
// s^2 = s % order (order must be prime)
|
||||
BN_mod_sqrt(s, s, order, ctx);
|
||||
|
||||
// s = s - b
|
||||
BN_mod_sub(s, s, b, order, ctx);
|
||||
|
||||
// if s is odd, s = s + order
|
||||
if (BN_is_odd(s)) {
|
||||
BN_add(s, s, order);
|
||||
}
|
||||
|
||||
// s >>= 1 (s = s / 2)
|
||||
BN_rshift1(s, s);
|
||||
|
||||
// Convert s from BigNum back to bytecode and reverse the endianness.
|
||||
BN_bn2bin(s, (BYTE *)bSig);
|
||||
endian((BYTE *)bSig, BN_num_bytes(s));
|
||||
|
||||
// Pack product key.
|
||||
packServer(bKey, osFamily, &hash, bSig, prefix);
|
||||
|
||||
BN_free(c);
|
||||
BN_free(s);
|
||||
BN_free(x);
|
||||
BN_free(y);
|
||||
BN_free(b);
|
||||
} while (bSig[1] >= 0x40000000);
|
||||
|
||||
base24(pKey, bKey);
|
||||
|
||||
BN_CTX_free(ctx);
|
||||
EC_POINT_free(r);
|
||||
}
|
||||
|
||||
int main()
|
||||
@ -264,7 +348,7 @@ int main()
|
||||
uint32_t osfamily[1], prefix[1];
|
||||
|
||||
osfamily[0] = 1280;
|
||||
RAND_pseudo_bytes((uint8_t *)prefix, 4);
|
||||
RAND_bytes((uint8_t *)prefix, 4);
|
||||
prefix[0] &= 0x3ff;
|
||||
|
||||
do {
|
||||
|
||||
Loading…
Reference in New Issue
Block a user