| 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
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| Source Publication | IEEE TRANSACTIONS ON CYBERNETICS
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| ISSN | 2168-2267 |
| 2018-12-01 | |
| Volume | 48Issue:12Pages:3349-3358 |
| Corresponding Author | Chen, C. L. Philip(philip.chen@ieee.org) ; Hu, Bin(bh@lzu.edu.cn) |
| Abstract | 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. |
| Keyword | Boolean function I-Ching I-Ching operators 23 (ICOs) periodic iterated function (PIF) substitution box (S-Box) |
| DOI | 10.1109/TCYB.2018.2846186 |
| WOS Keyword | S-BOXES ; EVOLUTIONARY ALGORITHM ; CHAOTIC MAPS ; CRYPTOGRAPHY ; OPTIMIZATION ; SYSTEMS ; CIPHERS |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | University of Macau ; Macau Science and Technology Development Fund[019/2015/A] ; Macau Science and Technology Development Fund[024/2015/AMJ] ; Macau Science and Technology Development Fund[079/2017/A2] ; Macau Science and Technology Development Fund[097/2015/A3] ; Fundamental Research Funds for the Central Universities[2017BQ059] ; Science and Technology Program of Guangzhou of China[201704020043] ; Guangzhou Key Lab of Body Data Science[201605030011] ; National Natural Science Foundation of China[61751205] ; National Natural Science Foundation of China[61572540] ; National Natural Science Foundation of China[U1636218] ; National Natural Science Foundation of China[61751202] ; National Natural Science Foundation of China[61702195] ; 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 |
| Funding Organization | 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 |
| WOS Research Area | Automation & Control Systems ; Computer Science |
| WOS Subject | Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics |
| WOS ID | WOS:000450613100008 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.ia.ac.cn/handle/173211/22576 |
| Collection | 复杂系统管理与控制国家重点实验室_平行智能技术与系统团队 |
| Corresponding Author | Chen, C. L. Philip; Hu, Bin |
| Affiliation | 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 |
| Corresponding Author Affilication | Institute of Automation, Chinese Academy of Sciences |
| 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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