Further results on permutation pentanomials over Fq3 in characteristic two

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成果类型：

期刊论文

作者：

Tongliang Zhang;Lijing Zheng*;Hengtai Wang;Jie Peng;Yanjun Li

通讯作者：

Lijing Zheng

作者机构：

College of Science, North China University of Science and Technology, Tangshan, Hebei, 063000, China

Hebei Key Laboratory of Data Science and Application, North China University of Science and Technology, Tangshan, Hebei, 063000, China

[Lijing Zheng; Hengtai Wang] School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, China

[Jie Peng] Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China

[Yanjun Li] Institute of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, Anhui, 233030, China

通讯机构：

[Lijing Zheng] S

School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, China

语种：

英文

期刊：

Finite Fields and Their Applications

ISSN：

1071-5797

年：

2026

卷：

110

页码：

102743

DOI：

10.1016/j.ffa.2025.102743

机构署名：

本校为通讯机构

院系归属：

数理学院

摘要：

Let q = 2 m . In a recent paper [34] , Zhang and Zheng investigated several classes of permutation pentanomials of the form ϵ 0 x d 0 + L ( ϵ 1 x d 1 + ϵ 2 x d 2 ) over F q 3 ( d 0 = 1 , 2 , 4 ) with a certain linearized polynomial L ( x ) . They applied the multivariate method and specific techniques to analyze the number of solutions of certain equations, and proposed an open problem: the permutation property of some pentanomials of this form remains unproven. In this paper, inspired by the idea of [12] , we further characterize the permut...

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Further results on permutation pentanomials over Fq3 in characteristic two

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