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Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators

文献类型：期刊论文

作者Zhang, Tong1; Chen, C. L. Philip2,3,4; Chen, Long5; Xu, Xiangmin1; Hu, Bin6
刊名IEEE TRANSACTIONS ON CYBERNETICS
出版日期2018-12-01
卷号48期号:12页码:3349-3358
关键词Boolean function I-Ching I-Ching operators 23 (ICOs) periodic iterated function (PIF) substitution box (S-Box)
ISSN号2168-2267
DOI10.1109/TCYB.2018.2846186
通讯作者Chen, C. L. Philip(philip.chen@ieee.org) ; Hu, Bin(bh@lzu.edu.cn)
英文摘要This paper is to design substitution boxes (S-Boxes) using innovative I-Ching operators (ICOs) that have evolved from ancient Chinese I-Ching philosophy. These three operators-intrication. turnover, and mutual-inherited from I-Ching are specifically designed to generate S-Boxes in cryptography. In order to analyze these three operators, identity, compositionality, and periodicity measures are developed. All three operators are a only applied to change the output positions of Boolean tunetions. Therefore, the bijection property of S-Box is satisfied automatically. It means that our approach can avoid singular values, which is very important to generate S-Boxes. Based on the periodicity property of the ICOs, a new network is constructed, thus to be applied in the algorithm for designing S-Boxes. to examine the efficiency of our proposed approach, some commonly used criteria are adopted, such as nonlinearity, strict avalanche criterion, differential approximation probability, and linear approximation probability. The comparison results la show that S-Boxes designed by applying ICOs have a higher security and better performance compared with other schemes. Furthermore, the proposed approach can also be used to other practice problems in a similar way.
WOS关键词S-BOXES ; EVOLUTIONARY ALGORITHM ; CHAOTIC MAPS ; CRYPTOGRAPHY ; OPTIMIZATION ; SYSTEMS ; CIPHERS
资助项目National Natural Science Foundation of China[61702195] ; National Natural Science Foundation of China[61751202] ; National Natural Science Foundation of China[U1636218] ; National Natural Science Foundation of China[61572540] ; National Natural Science Foundation of China[61751205] ; Guangzhou Key Lab of Body Data Science[201605030011] ; Science and Technology Program of Guangzhou of China[201704020043] ; Fundamental Research Funds for the Central Universities[2017BQ059] ; Macau Science and Technology Development Fund[097/2015/A3] ; Macau Science and Technology Development Fund[079/2017/A2] ; Macau Science and Technology Development Fund[024/2015/AMJ] ; Macau Science and Technology Development Fund[019/2015/A] ; University of Macau
WOS研究方向Automation & Control Systems ; Computer Science
语种英语
WOS记录号WOS:000450613100008
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
资助机构National Natural Science Foundation of China ; Guangzhou Key Lab of Body Data Science ; Science and Technology Program of Guangzhou of China ; Fundamental Research Funds for the Central Universities ; Macau Science and Technology Development Fund ; University of Macau
源URL[http://ir.ia.ac.cn/handle/173211/22575]  
专题自动化研究所_复杂系统管理与控制国家重点实验室_先进控制与自动化团队
通讯作者Chen, C. L. Philip; Hu, Bin
作者单位1.South China Univ Technol, Sch Elect & Informat, Guangzhou 510640, Guangdong, Peoples R China
2.Univ Macau, Fac Sci & Technol, Macau 999078, Peoples R China
3.Dalian Maritime Univ, Dalian 116026, Peoples R China
4.Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100080, Peoples R China
5.Univ Macau, Dept Comp & Informat Sci, Macau 999078, Peoples R China
6.Lanzhou Univ, Sch Informat Sci & Engn, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Tong,Chen, C. L. Philip,Chen, Long,et al. Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators[J]. IEEE TRANSACTIONS ON CYBERNETICS,2018,48(12):3349-3358.
APA Zhang, Tong,Chen, C. L. Philip,Chen, Long,Xu, Xiangmin,&Hu, Bin.(2018).Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators.IEEE TRANSACTIONS ON CYBERNETICS,48(12),3349-3358.
MLA Zhang, Tong,et al."Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators".IEEE TRANSACTIONS ON CYBERNETICS 48.12(2018):3349-3358.

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来源：自动化研究所

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