Several classes of permutation polynomials over the finite field Fp2m

被引：6
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.
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页数：18
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