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

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

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作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Chen, Changhui;Kan, Haibin;Li, Yanjun;Peng, Jie;Zheng, Lijing

通讯作者：

Li, YJ

作者机构：

[Peng, Jie; Chen, Changhui] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.

[Li, Yanjun; Li, YJ] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.

[Kan, Haibin] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.

[Li, Yanjun; Li, YJ; Kan, Haibin] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China.

[Kan, Haibin] Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.

通讯机构：

[Li, YJ ] A

Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.

Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China.

语种：

英文

关键词：

Finite field;permutation polynomials;complete permutation polynomials

期刊：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS

ISSN：

1930-5346

年：

2024

DOI：

10.3934/amc.2023062

基金类别：

National Key Research and Development Program of China [2019YFB2101703]; National Natural Science Foundation of China [62302001, 62372221, 61972258, 62272107, U19A2066]; China Postdoctoral Science Foundation [2023M740714]; Innovation Action Plan of Shanghai Science and Technology [20511102200, 21511102200]; Key Research and Development Program of Guangdong Province [2020B0101090001]; Scientific Research Fund of Hunan Provincial Education Department [19B485]; Open Research Program of Shanghai Key Lab of Intelligent Information Processing [IIPL201902]; Natural Science Foundation for the Higher Education Institutions of Anhui Province [2023AH050250]; Hunan Provincial Natural Science Foundation of China [2023JJ30517]

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本校为其他机构

院系归属：

数理学院

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. Consequent...

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