Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic

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成果类型：

期刊论文

作者：

Zheng, Lijing;Kan, Haibin*;Peng, Jie

通讯作者：

Kan, Haibin

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 Inform Proc, Shanghai 200433, Peoples R China.

[Kan, Haibin] Shanghai Engn Res Ctr Blockchain Shanghai, Fudan Zhongan Joint Lab Blockchain & Inform Secur, Shanghai 200433, Peoples R China.

[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Guilin Rd 100, Shanghai 200234, Peoples R China.

[Zheng, Lijing] Guangxi Univ Sci & Technol, Coll Comp Sci & Commun Engn, Liuzhou 545006, Peoples R China.

通讯机构：

[Kan, Haibin] F

[Kan, Haibin] S

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

Shanghai Engn Res Ctr Blockchain Shanghai, Fudan Zhongan Joint Lab Blockchain & Inform Secur, Shanghai 200433, Peoples R China.

语种：

英文

关键词：

Finite field;Niho exponent;Permutation trinomial

期刊：

Finite Fields and Their Applications

ISSN：

1071-5797

年：

2020

卷：

页码：

101754

DOI：

10.1016/j.ffa.2020.101754

基金类别：

The authors would like to thank Professor Xiang-dong Hou for his helpful suggestions which improved this paper. The authors thank the anonymous reviewers for their valuable suggestions which significantly improved both the quality and the presentation of this paper. This research is supported by National Key R & D Program of China (No. 2019YFB2101703 ) and National Natural Science Foundation of China (Grant Nos. 61672166 , 11701488 , 61972258 and U19A2066 ), and Scientific Research Fund of Hunan Provincial Education Department (Grant No. 19B485 ).

机构署名：

本校为第一机构

院系归属：

数理学院

摘要：

In this paper, we consider two classes of permutation trinomials with Niho-type exponents over the finite field F22m. Some sufficient conditions are obtained to characterize the coefficients of the permutation trinomials. Our numerical result suggests that those sufficient conditions f...

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Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic

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