76 lines
2 KiB
C++
76 lines
2 KiB
C++
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/*
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* This file is part of Codecrypt.
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*
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* Codecrypt is free software: you can redistribute it and/or modify it
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* under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or (at
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* your option) any later version.
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*
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* Codecrypt is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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* License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with Codecrypt. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef _polynomial_h_
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#define _polynomial_h_
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#include <vector>
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#include "types.h"
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#include "sencode.h"
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#include "vector_item.h"
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/*
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* polynomial over GF(2^m) is effectively a vector with a_n binary values
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* with some added operations.
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*/
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class matrix;
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class gf2m;
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class prng;
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class polynomial : public std::vector<uint>
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{
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protected:
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_ccr_declare_vector_item
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public:
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void strip();
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int degree() const;
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bool zero() const;
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bool one() const;
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void shift (uint);
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uint eval (uint, gf2m&) const;
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uint head() {
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int t;
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if ( (t = degree() ) >= 0) return item (t);
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else return 0;
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}
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void add (const polynomial&, gf2m&);
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void mult (const polynomial&, gf2m&);
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void add_mult (const polynomial&, uint mult, gf2m&);
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void mod (const polynomial&, gf2m&);
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void div (polynomial&, polynomial&, gf2m&);
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void divmod (polynomial&, polynomial&, polynomial&, gf2m&);
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void square (gf2m&);
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void inv (polynomial&, gf2m&);
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void make_monic (gf2m&);
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void sqrt (vector<polynomial>&, gf2m&);
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polynomial gcd (polynomial, gf2m&);
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void ext_euclid (polynomial&, polynomial&, polynomial&, gf2m&, int);
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bool is_irreducible (gf2m&) const;
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void generate_random_irreducible (uint s, gf2m&, prng&);
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bool compute_square_root_matrix (std::vector<polynomial>&, gf2m&);
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void compute_goppa_check_matrix (matrix&, gf2m&);
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sencode* serialize();
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bool unserialize (sencode*);
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};
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#endif
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