Two classes of permutation trinomials over Fq3 in characteristic two

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成果类型：

期刊论文

作者：

Zheng, Lijing;Kan, Haibin;Zhang, Tongliang;Peng, Jie;Li, Yanjun

通讯作者：

Kan, HB

作者机构：

[Zheng, Lijing] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.

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

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

[Kan, Haibin] Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China.

[Zhang, Tongliang] North China Univ Sci & Technol, Coll Sci, Tangshan 063000, Hebei, Peoples R China.

通讯机构：

[Kan, HB ] F

Fudan Univ, Sch Comp Sci, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.

Shanghai Engn Res Ctr Blockchain, Shanghai 200433, Peoples R China.

Fudan Univ, Yiwu Res Inst, Yiwu City 322000, Peoples R China.

语种：

英文

关键词：

Finite field;Permutation trinomial

期刊：

Finite Fields and Their Applications

ISSN：

1071-5797

年：

2024

卷：

页码：

102354

DOI：

10.1016/j.ffa.2023.102354

基金类别：

National Key R&D Program of China [2019YFB2101703]; National Natural Science Foundation of China [62372221, 62272107, U19A2066, 61972258, 62302001]; Hunan Provincial Natural Science Foundation of China [2023JJ30517]; Innovation Plan of Shanghai Science and Technology [21511102200]; Key R&D Program of Guangdong Province [2020B0101090001]; Natural Science Foundation for the Higher Education Institutions of Anhui Province [2023AH050250]; China Postdoctoral Science Foundation [2023M740714]; Basic research expenses of colleges and universities in Hebei Province Research Project [JQN2022002]

机构署名：

本校为第一机构

院系归属：

数理学院

摘要：

Let q = 2m and Fq3 be the finite field with q3 elements. In this paper, based on the multivariate method, resultant elimination, and transforming into dealing with some equations over finite fields, we propose two classes of permutation trinomials of Fq3. We illustrate that these two classes of permutation trinomials are QM-inequivalent to all known permutation polynomials over Fq3. Some well-known results can be covered by our th...

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Two classes of permutation trinomials over Fq3 in characteristic two

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