Permutation polynomials x~(2~(k+1)+3)+ ax~(2~k+2)+ bx over F_(2~(2k))and their differential uniformity

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期刊论文

作者：

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

通讯作者：

Kan, Haibin

作者机构：

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

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

[Wu, Chunsheng] Lianyungang Normal Univ, Dept Math, Lianyungang 222006, Peoples R China.

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

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

通讯机构：

[Kan, Haibin] F

[Kan, Haibin] S

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

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

Shanghai Inst Adv Commun & Data Sci, Shanghai 200433, Peoples R China.

语种：

英文

期刊：

中国科学：信息科学(英文版)

ISSN：

1674-733X

年：

2020

卷：

期：

页码：

1-3

DOI：

10.1007/s11432-018-9741-6

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61672166, 11701488]; Shanghai Excellent Academic Leader [16XD1400200]; Shanghai Innovation Plan of Science Technology [16JC1402700]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [17B040]

机构署名：

本校为其他机构

院系归属：

数理学院

摘要：

A polynomial f(x)∈ F_q[x] is called a permutation polynomial(PP)over the finite field Fq if the associated mapping f:c 7→ f(c)from Fq to itself is bijective.A PP f is called a complete permutation polynomial if f(x)+ x is a PP.PPs over finite fields of even characteristic have wide applications,including cryptography,coding theory,and communication theory.In many block ciphers with substitution-permutation network structure,the substitution box is usually a PP over F_(2~(2k))for some positive integer k.To resist the differential attacks,the d...

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Permutation polynomials x~(2~(k+1)+3)+ ax~(2~k+2)+ bx over F_(2~(2k))and their differential uniformity

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