English

A conjecture on permutation trinomials over finite fields of characteristic two

Information Theory 2018-09-11 v1 Combinatorics math.IT

Abstract

In this paper, by analyzing the quadratic factors of an 1111-th degree polynomial over the finite field \ftwon\ftwon, a conjecture on permutation trinomials over \ftwon[x]\ftwon[x] proposed very recently by Deng and Zheng is settled, where n=2mn=2m and mm is a positive integer with gcd(m,5)=1\gcd(m,5)=1.

Keywords

Cite

@article{arxiv.1809.02809,
  title  = {A conjecture on permutation trinomials over finite fields of characteristic two},
  author = {Nian Li and Qiaoyu Hu},
  journal= {arXiv preprint arXiv:1809.02809},
  year   = {2018}
}