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server_algorithm.cpp
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server_algorithm.cpp
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#include <stdio.h>
#include <string.h>
#include <openssl/bn.h>
#include <openssl/ec.h>
#include <openssl/sha.h>
#include <openssl/rand.h>
#include <assert.h>
uint8_t cset[] = "BCDFGHJKMPQRTVWXY2346789";
#define FIELD_BITS_2003 512
#define FIELD_BYTES_2003 64
void unpack2003(uint32_t *osfamily, uint32_t *hash, uint32_t *sig, uint32_t *prefix, uint32_t *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 pack2003(uint32_t *raw, uint32_t *osfamily, uint32_t *hash, uint32_t *sig, uint32_t *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);
}
static void endian(uint8_t *x, int n)
{
int i;
for (i = 0; i < n/2; i++) {
uint8_t t;
t = x[i];
x[i] = x[n-i-1];
x[n-i-1] = t;
}
}
void unbase24(uint32_t *x, uint8_t *c)
{
memset(x, 0, 16);
int i, n;
BIGNUM *y = BN_new();
BN_zero(y);
for (i = 0; i < 25; i++)
{
BN_mul_word(y, 24);
BN_add_word(y, c[i]);
}
n = BN_num_bytes(y);
BN_bn2bin(y, (uint8_t *)x);
BN_free(y);
endian((uint8_t *)x, n);
}
void base24(uint8_t *c, uint32_t *x)
{
uint8_t y[16];
int i;
BIGNUM *z;
memcpy(y, x, sizeof(y));
for (i = 15; y[i] == 0; i--) {} i++;
endian(y, i);
z = BN_bin2bn(y, i, NULL);
c[25] = 0;
for (i = 24; i >= 0; i--) {
uint8_t t = BN_div_word(z, 24);
c[i] = cset[t];
}
BN_free(z);
}
void print_product_key(uint8_t *pk)
{
int i;
assert(strlen((const char *)pk) == 25);
for (i = 0; i < 25; i++) {
putchar(pk[i]);
if (i != 24 && i % 5 == 4) putchar('-');
}
}
int verify2003(EC_GROUP *ec, EC_POINT *generator, EC_POINT *public_key, char *cdkey)
{
uint8_t 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] == cset[j]) {
key[k++] = j;
break;
}
assert(j < 24);
}
if (k >= 25) break;
}
uint32_t bkey[4] = {0};
uint32_t 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]);
unpack2003(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]);
uint8_t buf[FIELD_BYTES_2003], md[20];
uint32_t 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();
endian((uint8_t *)sig, 8);
endian((uint8_t *)h1, 8);
s = BN_bin2bn((uint8_t *)sig, 8, NULL);
h = BN_bin2bn((uint8_t *)h1, 8, NULL);
EC_POINT *r = EC_POINT_new(ec);
EC_POINT *t = EC_POINT_new(ec);
/* r = sig*(sig*generator + h1*public_key) */
EC_POINT_mul(ec, t, NULL, generator, s, ctx);
EC_POINT_mul(ec, r, NULL, public_key, h, ctx);
EC_POINT_add(ec, r, r, t, ctx);
EC_POINT_mul(ec, r, NULL, r, s, ctx);
EC_POINT_get_affine_coordinates_GFp(ec, r, x, y, ctx);
uint32_t 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);
endian((uint8_t *)buf, FIELD_BYTES_2003);
SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003);
memset(buf, 0, FIELD_BYTES_2003);
BN_bn2bin(y, buf);
endian((uint8_t *)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]);
BN_free(s);
BN_free(h);
BN_free(x);
BN_free(y);
EC_POINT_free(r);
EC_POINT_free(t);
BN_CTX_free(ctx);
if (h2[0] == hash[0]) {
printf("Key VALID\n");
return 1;
}
else {
printf("Key invalid\n");
return 0;
}
}
void generate2003(uint8_t *pkey, EC_GROUP *ec, EC_POINT *generator, BIGNUM *order, BIGNUM *priv, uint32_t *osfamily, uint32_t *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(ec);
uint32_t bkey[4];
uint8_t buf[FIELD_BYTES_2003], md[20];
uint32_t h1[2];
uint32_t hash[1], sig[2];
SHA_CTX h_ctx;
for (;;) {
/* r = k*generator */
BN_pseudo_rand(k, FIELD_BITS_2003, -1, 0);
EC_POINT_mul(ec, r, NULL, generator, k, ctx);
EC_POINT_get_affine_coordinates_GFp(ec, 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);
endian((uint8_t *)buf, FIELD_BYTES_2003);
SHA1_Update(&h_ctx, buf, FIELD_BYTES_2003);
memset(buf, 0, FIELD_BYTES_2003);
BN_bn2bin(y, buf);
endian((uint8_t *)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*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: %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);
}
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);
uint8_t pkey[25];
uint32_t osfamily[1], prefix[1];
osfamily[0] = 1280;
RAND_pseudo_bytes((uint8_t *)prefix, 4);
prefix[0] &= 0x3ff;
do {
generate2003(pkey, ec, g, n, priv, osfamily, prefix);
} while (!verify2003(ec, g, pub, (char*)pkey));
print_product_key(pkey); printf("\n\n");
BN_CTX_free(ctx);
return 0;
}