Permutation trinomials over $\mathbb{F}_{2^m}$: a corrected version

Autor: Wu, Danyao, Yuan, Pingzhi, Ding, Cunsheng, Ma, Yuzhen
Rok vydání: 2022
Předmět:
Zdroj: Finite Fields Appl. 46 (2017)
Druh dokumentu: Working Paper
DOI: 10.1016/j.ffa.2017.03.002
Popis: 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 $\mathbb{F}_{2^m}$ in Zieve's paper. We prove a conjecture proposed by Gupta and Sharma and obtain some new permutation trinomials over $\mathbb{F}_{2^m}$. Finally, we show that some classes of permutation trinomials with parameters are QM equivalent to some known permutation trinomials.
Databáze: arXiv