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[Server] Last refactor before RPK QWORD update

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This commit is contained in:
Andrew 2023-06-05 16:07:37 +03:00
parent 530e5cdc21
commit b69dbd541c
1 changed files with 29 additions and 29 deletions
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58
src/server.cpp
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@ -158,35 +158,34 @@ void generateServerKey(
DWORD pAuthInfo,
char (&pKey)[25]
) {
EC_POINT *r = EC_POINT_new(eCurve);
BN_CTX *ctx = BN_CTX_new();
DWORD bKey[4]{};
BOOL wrong = false;
QWORD pSignature = 0;
BN_CTX *numContext = BN_CTX_new();
BIGNUM *c = BN_new();
BIGNUM *s = BN_new();
BIGNUM *x = BN_new();
BIGNUM *y = BN_new();
BIGNUM *b = BN_new();
BIGNUM *e = BN_new();
DWORD pRaw[4]{};
BOOL wrong = false;
QWORD pSignature = 0;
do {
EC_POINT *r = EC_POINT_new(eCurve);
wrong = false;
DWORD hash = 0;
QWORD h = 0;
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 = basePoint * c
EC_POINT_mul(eCurve, r, nullptr, basePoint, c, ctx);
EC_POINT_mul(eCurve, r, nullptr, basePoint, c, numContext);
// x = r.x; y = r.y;
EC_POINT_get_affine_coordinates(eCurve, r, x, y, ctx);
EC_POINT_get_affine_coordinates(eCurve, r, x, y, numContext);
BYTE msgDigest[SHA_DIGEST_LENGTH]{},
msgBuffer[SHA_MSG_LENGTH_2003]{},
@ -229,7 +228,7 @@ void generateServerKey(
// First word.
h = (BYDWORD(&msgDigest[4]) >> 2 & BITMASK(30)) << 32 | BYDWORD(msgDigest);
BN_lebin2bn((BYTE *)&h, sizeof(h), b);
BN_lebin2bn((BYTE *)&h, sizeof(h), e);
/*
* Signature * (Signature * G + H * K) = rG (mod p)
@ -241,27 +240,27 @@ void generateServerKey(
* ↓ G^(-1)(G (mod p)) = (mod n), n = genOrder of G ↓
*
* Signature^2 + Hk * Signature = r (mod n)
* Signature = -(b +- sqrt(D)) / 2a → Signature = (-Hk +- sqrt((Hk)^2 + 4r)) / 2
* Signature = -(e +- sqrt(D)) / 2a → Signature = (-Hk +- sqrt((Hk)^2 + 4r)) / 2
*
* S = (-Hk +- sqrt((Hk)^2 + 4r)) (mod n) / 2
*
* S = s
* H = b
* H = e
* k = privateKey
* n = genOrder
* r = c
*
* s = ( ( -b * privateKey +- sqrt( (b * privateKey)^2 + 4c ) ) / 2 ) % genOrder
* s = ( ( -e * privateKey +- sqrt( (e * privateKey)^2 + 4c ) ) / 2 ) % genOrder
*/
// b = (b * privateKey) % genOrder
BN_mod_mul(b, b, privateKey, genOrder, ctx);
// e = (e * privateKey) % genOrder
BN_mod_mul(e, e, privateKey, genOrder, numContext);
// s = b
BN_copy(s, b);
// s = e
BN_copy(s, e);
// s = (s % genOrder)^2
BN_mod_sqr(s, s, genOrder, ctx);
BN_mod_sqr(s, s, genOrder, numContext);
// c <<= 2 (c = 4c)
BN_lshift(c, c, 2);
@ -270,10 +269,10 @@ void generateServerKey(
BN_add(s, s, c);
// s^2 = s % genOrder (genOrder must be prime)
if (BN_mod_sqrt(s, s, genOrder, ctx) == nullptr) wrong = true;
if (BN_mod_sqrt(s, s, genOrder, numContext) == nullptr) wrong = true;
// s = s - b
BN_mod_sub(s, s, b, genOrder, ctx);
// s = s - e
BN_mod_sub(s, s, e, genOrder, numContext);
// if s is odd, s = s + genOrder
if (BN_is_odd(s)) {
@ -287,10 +286,12 @@ void generateServerKey(
BN_bn2lebinpad(s, (BYTE *)&pSignature, BN_num_bytes(s));
// Pack product key.
packServer(bKey, pChannelID, hash, pSignature, pAuthInfo);
packServer(pRaw, pChannelID, hash, pSignature, pAuthInfo);
EC_POINT_free(r);
} while (HIBYTES(pSignature, sizeof(DWORD)) >= 0x40000000);
base24(pKey, (BYTE *)bKey);
base24(pKey, (BYTE *)pRaw);
std::cout << "attempt pass " << pKey << " key is " << (wrong ? "INVALID" : "VALID") << std::endl;
@ -298,10 +299,9 @@ void generateServerKey(
BN_free(s);
BN_free(x);
BN_free(y);
BN_free(b);
BN_free(e);
BN_CTX_free(ctx);
EC_POINT_free(r);
BN_CTX_free(numContext);
}
int main()
@ -335,7 +335,7 @@ int main()
BN_dec2bn(&genOrder, keys["BINK"][BINKID]["n"].get<std::string>().c_str());
BN_dec2bn(&privateKey, keys["BINK"][BINKID]["priv"].get<std::string>().c_str());
char pKey[25];
char pKey[25]{};
DWORD pChannelID = 640 << 1, pAuthInfo;
RAND_bytes((BYTE *)&pAuthInfo, 4);