Euclidean Algorithm The primary functions of the euclidean_algorithm<> template are to compute the greatest common divisor (gcd) of two polynomials and the extended Euclidean algorithm for polynomials ...

Many practical algorithms have dynamic (or data-dependent) dependency structure in their computation, which is not desirable for VLSI hardware implementation. Polynomial GCD computation by Euclid's ...

In the theory of cyclic codes and PC codes, Euclidean division algorithm for polynomials is essential; its generalization for polynomial vectors is obtained and enables us with generator polynomial ...

Rings, polynomials and fields: revision of rings; quotient rings; polynomial rings and the Euclidean algorithm for polynomials; irreducible polynomials and factorisation of polynomials. fields; fields ...

Algorithms for polynomial computation over finite fields form a crucial domain in computational mathematics, with extensive applications ranging from cryptography and coding theory to symbolic ...

A C implementation of Niederreiter's algorithm for factoring polynomials over F 2 is described. The most time-consuming part of this algorithm, which consists of setting up and solving a certain ...