On CCZ-equivalence between the Bracken-Tan-Tan function and power functions

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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：

Shi, Chenmiao;Peng, Jie;Kan, Haibin;Zheng, Lijing

通讯作者：

Peng, J

作者机构：

[Peng, Jie; Shi, Chenmiao] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, 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 322000, Peoples R China.

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

通讯机构：

[Peng, J ] S

Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.

语种：

英文

关键词：

Differential uniformity;Boomerang uniformity;Permutations;EA-equivalence;CCZ-equivalent

期刊：

Finite Fields and Their Applications

ISSN：

1071-5797

年：

2024

卷：

页码：

102340

DOI：

10.1016/j.ffa.2023.102340

基金类别：

National Key Research and Development Program of China [2019YFB2101703]; National Natural Science Foundation of China [61972258, 62272107, U19A2066]; 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]

机构署名：

本校为其他机构

院系归属：

数理学院

摘要：

Permutations with differential and boomerang uniformity 4 over F22k offer good resistance to block ciphers against differential and boomerang attacks. There are five primarily constructed infinite classes of differentially 4-uniform permu-tations with the best known nonlinearity over F22k , namely the Gold functions, the Kasami functions, the Inverse functions, the Bracken-Leander functions and the Bracken-Tan-Tan functions. It has been shown by Boura et al. and by Mesnager et al. respectively, that the Gold functions and the Bracken-Tan-Tan functions also have boomerang uniformity 4. It is kn...

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On CCZ-equivalence between the Bracken-Tan-Tan function and power functions

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