WindowsXPKg/src/server.cpp

358 lines
10 KiB
C++
Raw Normal View History

//
// Created by Andrew on 01/06/2023.
//
2023-06-01 19:24:07 +03:00
#include "header.h"
char pCharset[] = "BCDFGHJKMPQRTVWXY2346789";
2023-06-04 23:39:02 +03:00
void unpackServer(
DWORD (&pRaw)[4],
DWORD &pChannelID,
DWORD &pHash,
2023-06-05 01:24:20 +03:00
QWORD &pSignature,
2023-06-04 23:39:02 +03:00
DWORD &pAuthInfo
) {
2023-06-02 17:13:57 +03:00
// We're assuming that the quantity of information within the product key is at most 114 bits.
// log2(24^25) = 114.
// OS Family = Bits [0..10] -> 11 bits
2023-06-04 23:39:02 +03:00
pChannelID = pRaw[0] & 0x7ff;
2023-06-02 17:13:57 +03:00
// Hash = Bits [11..41] -> 31 bits
2023-06-04 23:39:02 +03:00
pHash = ((pRaw[0] >> 11) | (pRaw[1] << 21)) & 0x7fffffff;
2023-06-02 17:13:57 +03:00
// Signature = Bits [42..103] -> 62 bits
2023-06-05 01:24:20 +03:00
pSignature = (((QWORD)pRaw[2] >> 10 | (QWORD)pRaw[3] << 22) & 0x3fffffff) << 32 | (pRaw[1] >> 10) | (pRaw[2] << 22);
2023-06-02 17:13:57 +03:00
// Prefix = Bits [104..113] -> 10 bits
2023-06-04 23:39:02 +03:00
pAuthInfo = (pRaw[3] >> 8) & 0x3ff;
}
2023-06-04 23:39:02 +03:00
void packServer(
DWORD (&pRaw)[4],
DWORD pChannelID,
DWORD pHash,
2023-06-05 01:24:20 +03:00
QWORD &pSignature,
2023-06-04 23:39:02 +03:00
DWORD pAuthInfo
) {
pRaw[0] = pChannelID | (pHash << 11);
2023-06-05 01:24:20 +03:00
pRaw[1] = (pHash >> 21) | pSignature << 10;
pRaw[2] = (DWORD)(pSignature >> 22);
pRaw[3] = pSignature >> 54 | (pAuthInfo << 8);
}
2023-06-02 17:13:57 +03:00
bool verifyServerKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *publicKey, char *cdKey) {
BN_CTX *context = BN_CTX_new();
2023-06-02 17:13:57 +03:00
// Convert Base24 CD-key to bytecode.
2023-06-05 01:24:20 +03:00
DWORD pChannelID, pHash, pAuthInfo;
2023-06-02 17:13:57 +03:00
DWORD bKey[4]{};
2023-06-01 16:09:22 +03:00
2023-06-05 01:24:20 +03:00
QWORD pSignature = 0;
2023-06-04 22:26:58 +03:00
unbase24((BYTE *)bKey, cdKey);
2023-06-01 16:09:22 +03:00
2023-06-02 17:13:57 +03:00
// Extract segments from the bytecode and reverse the signature.
2023-06-05 00:52:10 +03:00
unpackServer(bKey, pChannelID, pHash, pSignature, pAuthInfo);
2023-06-05 00:52:10 +03:00
BYTE msgDigest[SHA_DIGEST_LENGTH]{},
msgBuffer[SHA_MSG_LENGTH_2003]{},
xBin[FIELD_BYTES_2003]{},
yBin[FIELD_BYTES_2003]{};
2023-06-02 17:13:57 +03:00
// H = SHA-1(5D || OS Family || Hash || Prefix || 00 00)
2023-06-05 00:52:10 +03:00
msgBuffer[0x00] = 0x5D;
msgBuffer[0x01] = (pChannelID & 0x00FF);
msgBuffer[0x02] = (pChannelID & 0xFF00) >> 8;
msgBuffer[0x03] = (pHash & 0x000000FF);
msgBuffer[0x04] = (pHash & 0x0000FF00) >> 8;
msgBuffer[0x05] = (pHash & 0x00FF0000) >> 16;
msgBuffer[0x06] = (pHash & 0xFF000000) >> 24;
msgBuffer[0x07] = (pAuthInfo & 0x00FF);
msgBuffer[0x08] = (pAuthInfo & 0xFF00) >> 8;
msgBuffer[0x09] = 0x00;
msgBuffer[0x0A] = 0x00;
SHA1(msgBuffer, 11, msgDigest);
QWORD newHash = (BYDWORD(&msgDigest[4]) >> 2 & BITMASK(30)) << 32 | BYDWORD(msgDigest);
2023-06-02 17:13:57 +03:00
BIGNUM *x = BN_new();
BIGNUM *y = BN_new();
2023-06-05 01:24:20 +03:00
BIGNUM *s = BN_lebin2bn((BYTE *)&pSignature, sizeof(pSignature), nullptr);
2023-06-05 00:52:10 +03:00
BIGNUM *e = BN_lebin2bn((BYTE *)&newHash, sizeof(newHash), nullptr);
2023-06-02 17:13:57 +03:00
EC_POINT *u = EC_POINT_new(eCurve);
EC_POINT *v = EC_POINT_new(eCurve);
// EC_POINT_mul calculates r = generator * n + q * m.
// v = s * (s * generator + e * publicKey)
// u = generator * s
EC_POINT_mul(eCurve, u, nullptr, generator, s, context);
// v = publicKey * e
EC_POINT_mul(eCurve, v, nullptr, publicKey, e, context);
// v += u
EC_POINT_add(eCurve, v, u, v, context);
// v *= s
EC_POINT_mul(eCurve, v, nullptr, v, s, context);
// EC_POINT_get_affine_coordinates() sets x and y, either of which may be nullptr, to the corresponding coordinates of p.
// x = v.x; y = v.y;
2023-06-05 00:27:50 +03:00
EC_POINT_get_affine_coordinates(eCurve, v, x, y, context);
2023-06-02 17:13:57 +03:00
2023-06-05 00:27:50 +03:00
// Convert resulting point coordinates to bytes.
BN_bn2lebin(x, xBin, FIELD_BYTES_2003);
BN_bn2lebin(y, yBin, FIELD_BYTES_2003);
2023-06-02 17:13:57 +03:00
2023-06-05 00:27:50 +03:00
// Assemble the SHA message.
2023-06-05 00:52:10 +03:00
msgBuffer[0x00] = 0x79;
msgBuffer[0x01] = (pChannelID & 0x00FF);
msgBuffer[0x02] = (pChannelID & 0xFF00) >> 8;
2023-06-02 17:13:57 +03:00
2023-06-05 00:27:50 +03:00
memcpy((void *)&msgBuffer[3], (void *)xBin, FIELD_BYTES_2003);
memcpy((void *)&msgBuffer[3 + FIELD_BYTES_2003], (void *)yBin, FIELD_BYTES_2003);
2023-06-02 17:13:57 +03:00
2023-06-05 00:27:50 +03:00
// Retrieve the message digest.
SHA1(msgBuffer, SHA_MSG_LENGTH_2003, msgDigest);
2023-06-02 17:13:57 +03:00
2023-06-05 00:52:10 +03:00
// Translate the byte digest into a 32-bit integer - this is our computed pHash.
// Truncate the pHash to 28 bits.
2023-06-02 17:13:57 +03:00
// Hash = First31(SHA-1(79 || OS Family || v.x || v.y))
2023-06-05 00:27:50 +03:00
DWORD compHash = BYDWORD(msgDigest) & BITMASK(31);
2023-06-02 17:13:57 +03:00
BN_free(s);
BN_free(e);
BN_free(x);
BN_free(y);
BN_CTX_free(context);
EC_POINT_free(v);
EC_POINT_free(u);
2023-06-05 00:52:10 +03:00
// If we managed to generate a key with the same pHash, the key is correct.
return compHash == pHash;
}
2023-06-02 17:13:57 +03:00
void generateServerKey(char *pKey, EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM *privateKey, DWORD *osFamily, DWORD *prefix) {
EC_POINT *r = EC_POINT_new(eCurve);
BN_CTX *ctx = BN_CTX_new();
2023-06-05 01:24:20 +03:00
DWORD bKey[4]{};
QWORD pSignature = 0;
2023-06-02 17:13:57 +03:00
do {
BIGNUM *c = BN_new();
BIGNUM *s = BN_new();
BIGNUM *x = BN_new();
BIGNUM *y = BN_new();
BIGNUM *b = BN_new();
DWORD hash = 0, h[2]{};
memset(bKey, 0, 4);
// Generate a random number c consisting of 512 bits without any constraints.
BN_rand(c, FIELD_BITS_2003, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY);
// r = generator * c
EC_POINT_mul(eCurve, r, nullptr, generator, c, ctx);
// x = r.x; y = r.y;
EC_POINT_get_affine_coordinates(eCurve, r, x, y, ctx);
SHA_CTX hContext;
BYTE md[SHA_DIGEST_LENGTH]{}, buf[FIELD_BYTES_2003]{};
// Hash = SHA-1(79 || OS Family || r.x || r.y)
SHA1_Init(&hContext);
buf[0] = 0x79;
buf[1] = (*osFamily & 0xff);
buf[2] = (*osFamily & 0xff00) >> 8;
SHA1_Update(&hContext, buf, 3);
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.
2023-06-05 01:24:20 +03:00
BN_bn2bin(s, (BYTE *)&pSignature);
endian((BYTE *)&pSignature, BN_num_bytes(s));
2023-06-02 17:13:57 +03:00
// Pack product key.
2023-06-05 01:24:20 +03:00
packServer(bKey, *osFamily, hash, pSignature, *prefix);
2023-06-02 17:13:57 +03:00
BN_free(c);
BN_free(s);
BN_free(x);
BN_free(y);
BN_free(b);
2023-06-05 01:24:20 +03:00
} while ((pSignature >> 32) >= 0x40000000);
2023-06-02 17:13:57 +03:00
2023-06-04 22:26:58 +03:00
base24(pKey, (BYTE *)bKey);
2023-06-02 17:13:57 +03:00
BN_CTX_free(ctx);
EC_POINT_free(r);
}
2023-06-01 18:56:26 +03:00
int main()
{
BIGNUM *a, *b, *p, *gx, *gy, *pubx, *puby, *n, *priv;
BN_CTX *ctx = BN_CTX_new();
a = BN_new();
b = BN_new();
p = BN_new();
gx = BN_new();
gy = BN_new();
pubx = BN_new();
puby = BN_new();
n = BN_new();
priv = BN_new();
/* Windows Sever 2003 VLK */
BN_set_word(a, 1);
BN_set_word(b, 0);
BN_hex2bn(&p, "C9AE7AED19F6A7E100AADE98134111AD8118E59B8264734327940064BC675A0C682E19C89695FBFA3A4653E47D47FD7592258C7E3C3C61BBEA07FE5A7E842379");
BN_hex2bn(&gx, "85ACEC9F9F9B456A78E43C3637DC88D21F977A9EC15E5225BD5060CE5B892F24FEDEE574BF5801F06BC232EEF2161074496613698D88FAC4B397CE3B475406A7");
BN_hex2bn(&gy, "66B7D1983F5D4FE43E8B4F1E28685DE0E22BBE6576A1A6B86C67533BF72FD3D082DBA281A556A16E593DB522942C8DD7120BA50C9413DF944E7258BDDF30B3C4");
BN_hex2bn(&pubx, "90BF6BD980C536A8DB93B52AA9AEBA640BABF1D31BEC7AA345BB7510194A9B07379F552DA7B4A3EF81A9B87E0B85B5118E1E20A098641EE4CCF2045558C98C0E");
BN_hex2bn(&puby, "6B87D1E658D03868362945CDD582E2CF33EE4BA06369E0EFE9E4851F6DCBEC7F15081E250D171EA0CC4CB06435BCFCFEA8F438C9766743A06CBD06E7EFB4C3AE");
BN_hex2bn(&n, "4CC5C56529F0237D"); // from mskey 4in1
BN_hex2bn(&priv, "2606120F59C05118");
EC_GROUP *ec = EC_GROUP_new_curve_GFp(p, a, b, ctx);
EC_POINT *g = EC_POINT_new(ec);
EC_POINT_set_affine_coordinates_GFp(ec, g, gx, gy, ctx);
EC_POINT *pub = EC_POINT_new(ec);
EC_POINT_set_affine_coordinates_GFp(ec, pub, pubx, puby, ctx);
assert(EC_POINT_is_on_curve(ec, g, ctx) == 1);
assert(EC_POINT_is_on_curve(ec, pub, ctx) == 1);
char pkey[25];
2023-06-04 13:31:24 +03:00
DWORD osfamily[1], prefix[1];
osfamily[0] = 1280;
2023-06-04 13:31:24 +03:00
RAND_bytes((BYTE *)prefix, 4);
prefix[0] &= 0x3ff;
do {
generateServerKey(pkey, ec, g, n, priv, osfamily, prefix);
} while (!verifyServerKey(ec, g, pub, pkey));
print_product_key(pkey);
std::cout << std::endl << std::endl;
BN_CTX_free(ctx);
return 0;
}