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Cryptographic functions with interesting properties from CCZ-equivalence

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成果类型:
期刊论文
作者:
Li, Yanjun;Kan, Haibin;Peng, Jie;Zheng, Lijing
通讯作者:
Peng, J
作者机构:
[Li, Yanjun] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, 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.
[Peng, Jie] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, 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:
Bent functions;Plateaued functions;Bent component;CCZ-equivalence
期刊:
Cryptography and Communications
ISSN:
1936-2447
年:
2023
卷:
15
期:
4
页码:
831-844
基金类别:
Editor-in-Chief Claude Carlet Scientific Research Foundation of Hunan Provincial Education Department, (19B485, IIPL201902) Scientific Research Foundation of Hunan Provincial Education Department National Natural Science Foundation of China, NSFC, (61972258, 62272107, U19A2066) National Natural Science Foundation of China, NSFC National Key Research and Development Program of China, NKRDPC, (2019YFB2101703) National Key Research and Development Program of China, NKRDPC Special Project for Research and Development in Key areas of Guangdong Province, (2020B0101090001) Special Project for Research and Development in Key areas of Guangdong Province Science and Technology Innovation Plan Of Shanghai Science and Technology Commission, (20511102200, 21511102200) Science and Technology Innovation Plan Of Shanghai Science and Technology Commission
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
In the last decades, because of their significantly important applications, a large number of papers were devoted to constructing cryptographic functions with interesting properties by various methods. In this paper, our motivation is to construct more families of such functions up to EA-equivalence (extended affine equivalence) by using the properties of CCZ-equivalence (Carlet-Charpin-Zinoviev equivalence). To this end, we present two CCZ-equivalent forms, and show their applications on bent functions, vectorial functions having the maximum n...

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