Some classes of complete permutation polynomials over Fq

查看全文 作　　者：WU [1]GaoFei;LI [2]Nian;HELLESETH [3]Tor;ZHANG [1,4]YuQing

机构地区：[1]State Key Laboratory of Integrated Service Networks, Xidian University;[2]Information Security and National Computing Grid Laboratory,Southwest Jiaotong University;[3]Department of Informatics, University of Bergen;[4]National Computer Network Intrusion Protection Center,University of Chinese Academy of Sciences

出　　处：《Science China Mathematics》索引2015年第58卷第10期,共14页

基　　金：supported by National Natural Science Foundation of China(Grant Nos.61272481 and 61402352);the China Scholarship Council,Beijing Natural Science Foundation(Grant No.4122089);National Development and Reform Commission(Grant No.20121424);the Norwegian Research Council 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-1xdto be a complete permutation polynomial over Fp4 k, where d =(p4k-1)/(pk-1)+ 1 and a ∈ F*p4k. Finally, we present a class of complete permutation multinomials, which is a generalization of recent work. 关键词：置换多项式充分必要条件有限域日本式单项式奇素数

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Some classes of complete permutation polynomials over Fq

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