A Chaos-Based Substitution Box (S-Box) Design with Improved Differential Approximation Probability (DP)

Substitution box is a vital and the only nonlinear component of modern encryption algorithm. S-box is introduced as a confusion component to resist against differential cryptanalysis. Chaos-based encryption is well liked because it exhibits similarity like cryptography. However, chaotic S-boxes poss...

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Main Authors: Khan, M.A., Ali, A., Jeoti, V., Manzoor, S.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.20905 /
Published: Springer International Publishing 2018
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85047613561&doi=10.1007%2fs40998-018-0061-9&partnerID=40&md5=6979f3d6fc25436b8925c92cd9abd61c
http://eprints.utp.edu.my/20905/
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Summary: Substitution box is a vital and the only nonlinear component of modern encryption algorithm. S-box is introduced as a confusion component to resist against differential cryptanalysis. Chaos-based encryption is well liked because it exhibits similarity like cryptography. However, chaotic S-boxes possess high maximum differential approximation probability, measured using difference distribution table (DDT) for differential cryptanalysis. Therefore, this paper reports a systematic design methodology to generate chaotic S-box utilizing DDT and that can be used in multimedia encryption algorithms. DDT within the design loop is used to optimize differential approximation probability. The proposed S-box shows very low differential approximation probability as compared to other chaos-based S-box designed recently, while maintaining good cryptographic properties and high value of linear approximation probability. The strength of the proposed cryptographically strong S-box is vetted in the practical implementation of multimedia encryption. © 2018, Shiraz University.