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libecc/polynomial.h File Reference

Field of Polynomials with binairy coefficents and fixed reduction polynomial. More...

#include <stdexcept>
#include <libecc/bitset.h>
#include <libecc/debug.h>
#include <libcwd/cwprint.h>
#include <libecc/square.hcc>

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namespace libecc

Detailed Description

Field of Polynomials with binairy coefficents and fixed reduction polynomial.

This header file declares the type libecc::polynomial<m, k, k1, k2>, representing the polynomials with binary coefficients, of a finite extension field with fixed degree m and reduction pentanomial t^m + t^k + t^k1 + t^k2 + 1 = 0 or, when k1 == 0, trinomial t^m + t^k + 1 = 0.