Permutation trinomials over $\mathbb{F}_{2^m}$: a corrected version
Combinatorics
2022-09-13 v1 Number Theory
Abstract
Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we determine all permutation trinomials over in Zieve's paper. We prove a conjecture proposed by Gupta and Sharma and obtain some new permutation trinomials over . Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.
Keywords
Cite
@article{arxiv.2209.04762,
title = {Permutation trinomials over $\mathbb{F}_{2^m}$: a corrected version},
author = {Danyao Wu and Pingzhi Yuan and Cunsheng Ding and Yuzhen Ma},
journal= {arXiv preprint arXiv:2209.04762},
year = {2022}
}