Design of Highly Nonlinear Substitution Boxes Based on I-Ching Operators
Zhang, Tong1; Chen, C. L. Philip2,3,4; Chen, Long5; Xu, Xiangmin1; Hu, Bin6
AbstractThis 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.
KeywordBoolean function I-Ching I-Ching operators 23 (ICOs) periodic iterated function (PIF) substitution box (S-Box)
URLView the original
Indexed BySCIE
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000450613100008
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Cited Times [WOS]:92   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.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
Recommended Citation
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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