Further results on permutation polynomials of the form over

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• 作者：Libo Wang^a ; ^b ; Baofeng Wu^a ; ^{wubaofeng@iie.ac.cn} ; Zhuojun Liu^b
• 关键词：05A05 ; 11T06 ; 11T55
• 刊名：Finite Fields and Their Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：44
• 期：Complete
• 页码：92-112
• 全文大小：392 K
• 卷排序：44

文摘

In this paper, some classes of permutation polynomials of the form (xpm−x+δ)s+L(x)(xpm−x+δ)s+L(x) over the finite field Fp2mFp2m are investigated by determining the number of solutions of certain equations, where L(x)=xL(x)=x or xpm+xxpm+x. More precisely, for an integer s   satisfying s(pm+1)≡pm+1s(pm+1)≡pm+1 (mod p2m−1p2m−1), we give four classes of permutation polynomials of the form (x2m+x+δ)s+x(x2m+x+δ)s+x over F22mF22m, and five classes of permutation polynomials of the form (x3m−x+δ)s+x3m+x(x3m−x+δ)s+x3m+x over F32mF32m, respectively.