Permutation Polynomials of Degree 6 or 7 over Finite Fields of Characteristic 2
Combinatorics
2010-02-16 v1 Number Theory
Abstract
In \cite{D1}, Dickson listed all permutation polynomials up to degree 5 over an arbitrary finite field, and all permutation polynomials of degree 6 over finite fields of odd characteristic. The classification of degree 6 permutation polynomials over finite fields of characteristic 2 was left incomplete. In this paper we complete the classification of permutation polynomials of degree 6 over finite fields of characteristic 2. In addition, all permutation polynomials of degree 7 over finite fields of characteristic 2 are classified.
Cite
@article{arxiv.1002.2796,
title = {Permutation Polynomials of Degree 6 or 7 over Finite Fields of Characteristic 2},
author = {Jiyou Li and David B. Chandler and Qing Xiang},
journal= {arXiv preprint arXiv:1002.2796},
year = {2010}
}
Comments
16 pages. Submitted