A Construction of Permutation Polynomials Using R\'{e}dei Function in Even Characteristic
Number Theory
2023-11-20 v3
Abstract
The R\'{e}dei function defined over a field of even characteristic has been introduced by N\"{o}bauer in 1986 \cite{even}. In this paper, inspired by the work of Fu et al. \cite{wang} in odd characteristic, employing the AGW criterion \cite{agw}, we present a recursive construction of permutation polynomials in even characteristic using the R\'{e}dei function over a field of characteristic 2.
Cite
@article{arxiv.2305.03521,
title = {A Construction of Permutation Polynomials Using R\'{e}dei Function in Even Characteristic},
author = {Daniel Panario and Nihal Uyar and Qiang Wang},
journal= {arXiv preprint arXiv:2305.03521},
year = {2023}
}