Polinômios de permutação e palavras balanceadas

Abstract

The main goal in writing this dissertation is the study of the inĆuence of the Theory of Permutation Polynomials in the context of Coding Theory via the concept of balanced word. Our basic reference is the paper "Permutation polynomials and applications to coding theory" by Y. Laigke-Chapury. Our plan is to introduce the basic concepts in Coding Theory, Permutation Polynomials; then we mainly consider the long-standing open HellesethŠs conjecture.