Permutation polynomials over F2n of the form (x2i + x + δ)s1 + (x2i + x + δ)s2 + x

被引：20

作者：

Zeng, Xiangyong ^{[1
,2
]}

Zhu, Xishun ^{[3
]}

Li, Nian ^{[1
]}

Liu, Xianping ^{[1
]}

机构：

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

[2] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China

[3] Nanchang Univ, Nanchang 330031, Jiangxi, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2017年 / 47卷

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1016/j.ffa.2017.06.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Permutation polynomials having the form (x(2i) + x + delta)(s1) + (x(2i) + x + delta)(s2) + x over finite fields of even characteristic are investigated in this paper. Eight classes of such polynomials are proved to be permutations. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：256 / 268

页数：13

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