Some classes of complete permutation polynomials over Fq

被引：0

作者：

Wu GaoFei ^{[1
]}

Li Nian ^{[2
]}

Helleseth Tor ^{[3
]}

Zhang YuQing ^{[1
,4
]}

机构：

[1] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Peoples R China

[2] Southwest Jiaotong Univ, Informat Secur & Natl Comp Grid Lab, Chengdu 610031, Peoples R China

[3] Univ Bergen, Dept Informat, N-5020 Bergen, Norway

[4] Univ Chinese Acad Sci, Natl Comp Network Intrus Protect Ctr, Beijing 100043, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2015年 / 58卷 / 10期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

finite field; complete permutation polynomials; Walsh transform; Niho exponents; Dickson polynomials; FINITE-FIELD PERMUTE; ELEMENTS;

D O I：

10.1007/s11425-014-4964-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a powerful criterion for permutation polynomials, we give several classes of complete permutation polynomials over finite fields. First, two classes of complete permutation monomials whose exponents are of Niho type are presented. Second, for any odd prime p, we give a sufficient and necessary condition for a-1xd to be a complete permutation polynomial over F(p)4k, where d = p(4k)-1/p(k)-1 + 1 and a is an element of F*(p4k). Finally, we present a class of complete permutation multinomials, which is a generalization of recent work.

引用

页码：2081 / 2094

页数：14

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