A conjecture on permutation trinomials over finite fields of characteristic two
Nian Li, Qiaoyu Hu · Advances in Mathematics of Communications · 2019
In this paper, by analyzing the quadratic factors of an $ 11 $-th degree polynomial over the finite field $ {\mathbb F}_{2^n} $, a conjecture on permutation trinomials over $ {\mathbb F}_{2^n}[x] $ proposed very recently by Deng and Zheng is settled, where $ n = 2m $ and $ m $ is a positive integer with $ \gcd(m,5) = 1 $.