Permutation polynomials from trace functions over finite fields

被引：25

作者：

Zeng, Xiangyong ^{[1
]}

Tian, Shizhu ^{[1
]}

Tu, Ziran ^{[2
]}

机构：

[1] Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Stat, Wuhan 430062, Peoples R China

[2] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2015年 / 35卷

基金：

中国国家自然科学基金;

关键词：

Permutation polynomial; Finite field; Trace function; DIFFERENTIALLY 4-UNIFORM PERMUTATIONS;

D O I：

10.1016/j.ffa.2015.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose several classes of permutation polynomials based on trace functions over finite fields of characteristic 2. The main result of this paper is obtained by determining the number of solutions of certain equations over finite fields. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：36 / 51

页数：16

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