SEVERAL CLASSES OF PERMUTATION POLYNOMIALS OF THE FORM (xpm - x + δ)s + L(x)

被引：0

作者：

Chen, Changhui ^{[1
]}

Kan, Haibin ^{[3
,4
,5
,6
]}

Li, Yanjun ^{[2
,4
]}

Peng, Jie ^{[1
]}

Zheng, Lijing ^{[7
]}

机构：

[1] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China

[2] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China

[3] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China

[4] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China

[5] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China

[6] Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China

[7] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Finite field; permutation polynomials; complete permutation polynomials;

D O I：

10.3934/amc.2023062

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we give six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + a(x) over F-2(2m) and six classes of permutation polynomials of the form (x(pm) - x + delta)(s) + ax(pm) + a(pm) x over F-p(2m) (p being an odd prime), respectively. In addition, we also investigate permutation polynomials obtained from piecewise functions. Consequently, we find some complete permutation polynomials.

引用

页数：18

共 45 条

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[23] More classes of permutation polynomials of the form (xpm-x+δ)s+L(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(x^{p^m}-x+\delta )^s+L(x)$$\end{document}
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[24] Permutation polynomials over F2n of the form (x2i + x + δ)s1 + (x2i + x + δ)s2 + x
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[28] Permutations polynomials of the form G(X)k − L(X) and curves over finite fields
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[30] Several classes of permutation polynomials over the finite field Fp2m
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