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Diffstat (limited to 'lib/math/numbertheory/dsa_gen.cpp')
-rw-r--r-- | lib/math/numbertheory/dsa_gen.cpp | 134 |
1 files changed, 134 insertions, 0 deletions
diff --git a/lib/math/numbertheory/dsa_gen.cpp b/lib/math/numbertheory/dsa_gen.cpp new file mode 100644 index 000000000..d30a08f1a --- /dev/null +++ b/lib/math/numbertheory/dsa_gen.cpp @@ -0,0 +1,134 @@ +/* +* DSA Parameter Generation +* (C) 1999-2007 Jack Lloyd +* +* Distributed under the terms of the Botan license +*/ + +#include <botan/numthry.h> +#include <botan/algo_factory.h> +#include <botan/hash.h> +#include <botan/parsing.h> +#include <algorithm> +#include <memory> + +namespace Botan { + +namespace { + +/* +* Check if this size is allowed by FIPS 186-3 +*/ +bool fips186_3_valid_size(size_t pbits, size_t qbits) + { + if(qbits == 160) + return (pbits == 512 || pbits == 768 || pbits == 1024); + + if(qbits == 224) + return (pbits == 2048); + + if(qbits == 256) + return (pbits == 2048 || pbits == 3072); + + return false; + } + +} + +/* +* Attempt DSA prime generation with given seed +*/ +bool generate_dsa_primes(RandomNumberGenerator& rng, + Algorithm_Factory& af, + BigInt& p, BigInt& q, + size_t pbits, size_t qbits, + const std::vector<byte>& seed_c) + { + if(!fips186_3_valid_size(pbits, qbits)) + throw Invalid_Argument( + "FIPS 186-3 does not allow DSA domain parameters of " + + std::to_string(pbits) + "/" + std::to_string(qbits) + " bits long"); + + if(seed_c.size() * 8 < qbits) + throw Invalid_Argument( + "Generating a DSA parameter set with a " + std::to_string(qbits) + + "long q requires a seed at least as many bits long"); + + std::unique_ptr<HashFunction> hash( + af.make_hash_function("SHA-" + std::to_string(qbits))); + + const size_t HASH_SIZE = hash->output_length(); + + class Seed + { + public: + Seed(const std::vector<byte>& s) : seed(s) {} + + operator std::vector<byte>& () { return seed; } + + Seed& operator++() + { + for(size_t j = seed.size(); j > 0; --j) + if(++seed[j-1]) + break; + return (*this); + } + private: + std::vector<byte> seed; + }; + + Seed seed(seed_c); + + q.binary_decode(hash->process(seed)); + q.set_bit(qbits-1); + q.set_bit(0); + + if(!check_prime(q, rng)) + return false; + + const size_t n = (pbits-1) / (HASH_SIZE * 8), + b = (pbits-1) % (HASH_SIZE * 8); + + BigInt X; + std::vector<byte> V(HASH_SIZE * (n+1)); + + for(size_t j = 0; j != 4096; ++j) + { + for(size_t k = 0; k <= n; ++k) + { + ++seed; + hash->update(seed); + hash->final(&V[HASH_SIZE * (n-k)]); + } + + X.binary_decode(&V[HASH_SIZE - 1 - b/8], + V.size() - (HASH_SIZE - 1 - b/8)); + X.set_bit(pbits-1); + + p = X - (X % (2*q) - 1); + + if(p.bits() == pbits && check_prime(p, rng)) + return true; + } + return false; + } + +/* +* Generate DSA Primes +*/ +std::vector<byte> generate_dsa_primes(RandomNumberGenerator& rng, + Algorithm_Factory& af, + BigInt& p, BigInt& q, + size_t pbits, size_t qbits) + { + while(true) + { + std::vector<byte> seed(qbits / 8); + rng.randomize(&seed[0], seed.size()); + + if(generate_dsa_primes(rng, af, p, q, pbits, qbits, seed)) + return seed; + } + } + +} |