UM
Design of highly nonlinear substitution boxes based on I-Ching operators
Zhang T.2; Chen C.L.P.1; Chen L.1; Xu X.2; Hu B.4
2018-12-01
Source PublicationIEEE Transactions on Cybernetics
ISSN21682267
Volume48Issue:12Pages:3349-3358
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 only applied to change the output positions of Boolean functions. 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 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 (ICOs) periodic iterated function (PIF) substitution box (S-Box)
DOI10.1109/TCYB.2018.2846186
URLView the original
Language英語
Fulltext Access
Citation statistics
Cited Times [WOS]:11   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Universidade de Macau
2.South China University of Technology
3.Dalian Maritime University
4.Lanzhou University
5.Institute of Automation Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Zhang T.,Chen C.L.P.,Chen L.,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 T.,Chen C.L.P.,Chen L.,Xu X.,&Hu B..(2018).Design of highly nonlinear substitution boxes based on I-Ching operators.IEEE Transactions on Cybernetics,48(12),3349-3358.
MLA Zhang T.,et al."Design of highly nonlinear substitution boxes based on I-Ching operators".IEEE Transactions on Cybernetics 48.12(2018):3349-3358.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhang T.]'s Articles
[Chen C.L.P.]'s Articles
[Chen L.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang T.]'s Articles
[Chen C.L.P.]'s Articles
[Chen L.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang T.]'s Articles
[Chen C.L.P.]'s Articles
[Chen L.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.