Several classes of permutation polynomials over the finite field Fp2m

被引：3

作者：

Li, Guanghui ^{[1
]}

Cao, Xiwang ^{[1
,2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China

[2] MIIT, Key Lab Math Modelling & High Performance Comp Air, Nanjing 211106, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2023年 / 89卷

基金：

中国国家自然科学基金;

关键词：

Permutation polynomial; Trace function; Finite field; FORM; (X(PM);

D O I：

10.1016/j.ffa.2023.102197

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Fq denote the finite field with q elements. In this paper, based on the AGW criterion and determining the number of solutions to certain equations over the finite field Fp2m , several classes of permutation polynomials with given forms are proposed. Some of them are the permutation polynomials of the form (xpm - x + 5)s + L(x), where L(x) is a linearized polynomial. Others are the permutation polynomials of the form (xpm - x + 5)s1 + (xpm - x + 5)s2 + x. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：18

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