Journal Article

·2017 OPEN ACCESS

A NOTE ON CONSTRUCTION OF IRREDUCIBLE POLYNOMIALS OVER FINITE FIELDS WITH CHARACTERISTIC 2

Murat Alan YTU , Betül Duman YTU

International Journal of Pure and Apllied Mathematics

Abstract

Let f (x) be an irreducible polynomial of degree m over the finite field Fq where q is a power of 2. We show that the polynomial x 2m f x 4 +x 3 +x+1

Keywords

Finite field Mathematics Pure mathematics Algebra over a field Combinatorics

Subject Areas

Polynomial and algebraic computation ·Computational Theory and Mathematics ·Physical Sciences
Coding theory and cryptography ·Artificial Intelligence ·Physical Sciences
Matrix Theory and Algorithms ·Computational Theory and Mathematics ·Physical Sciences

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