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https://github.com/Neo-Desktop/WindowsXPKg
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Slight logic tweak for better understanding
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4f7fb772a5
commit
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@ -191,12 +191,12 @@ void generateServerKey(
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QWORD pRaw[2]{},
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pSignature = 0;
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BOOL wrong = false;
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BOOL noSquare = false;
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do {
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EC_POINT *r = EC_POINT_new(eCurve);
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wrong = false;
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noSquare = false;
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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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@ -295,7 +295,7 @@ void generateServerKey(
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// Around half of numbers modulo a prime are not squares -> BN_sqrt_mod fails about half of the times,
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// hence if BN_sqrt_mod returns NULL, we need to restart with a different seed.
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// s = sqrt(s (mod n))
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if (BN_mod_sqrt(s, s, genOrder, numContext) == nullptr) wrong = true;
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noSquare = BN_mod_sqrt(s, s, genOrder, numContext) == nullptr;
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// s = s (mod n) - e
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BN_mod_sub(s, s, e, genOrder, numContext);
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@ -324,7 +324,7 @@ void generateServerKey(
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}
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EC_POINT_free(r);
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} while (pSignature > BITMASK(62) || wrong);
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} while (pSignature > BITMASK(62) || noSquare);
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// ↑ ↑ ↑
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// The signature can't be longer than 62 bits, else it will
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// overlap with the AuthInfo segment next to it.
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14
src/xp.cpp
14
src/xp.cpp
@ -148,14 +148,12 @@ void generateXPKey(
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*x = BN_new(),
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*y = BN_new();
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QWORD pRaw[2]{};
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QWORD pRaw[2]{},
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pSignature = 0;
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do {
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EC_POINT *r = EC_POINT_new(eCurve);
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QWORD pSignature = 0;
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DWORD pHash;
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// Generate a random number c consisting of 384 bits without any constraints.
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BN_rand(c, FIELD_BITS, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY);
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@ -186,7 +184,7 @@ void generateXPKey(
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// Translate the byte digest into a 32-bit integer - this is our computed pHash.
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// Truncate the pHash to 28 bits.
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pHash = BYDWORD(msgDigest) >> 4 & BITMASK(28);
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DWORD pHash = BYDWORD(msgDigest) >> 4 & BITMASK(28);
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/*
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*
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@ -228,10 +226,10 @@ void generateXPKey(
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}
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EC_POINT_free(r);
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} while (pRaw[1] > BITMASK(50));
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} while (pSignature > BITMASK(55));
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// ↑ ↑ ↑
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// pRaw[1] can't be longer than 50 bits, else the signature part
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// will make the CD-key longer than 25 characters.
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// The signature can't be longer than 55 bits, else it will
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// make the CD-key longer than 25 characters.
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// Convert bytecode to Base24 CD-key.
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base24(pKey, (BYTE *)pRaw);
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