A novel approach for strong S-Box generation algorithm design based on chaotic scaled Zhongtang system

• Published in: Nonlinear dynamics Vol. 87; no. 2; pp. 1081 - 1094
• Main Authors: Çavuşoğlu, Ünal, Zengin, Ahmet, Pehlivan, Ihsan, Kaçar, Sezgin
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2017; Springer Nature B.V
• Subjects: Algorithms; Automotive Engineering; Avalanches; Chaos theory; Classical Mechanics; Control; Criteria; Data encryption; Design engineering; Dynamical Systems; Encryption; Engineering; Linearity; Mechanical Engineering; Nonlinear dynamics; Numbers; Original Paper; Performance tests; Random numbers; Vibration; Chaos; NIST tests; Random number generator; Cryptology; S-Box
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-016-3099-0

Substitution Box (S-Box) is one of the most significant structures used to create an encryption which is strong and resistant against attacks in block encryption algorithms. S-Box plays an important role in data encryption. This paper presents a novel S-Box generation algorithm design based on scaled Zhongtang chaotic system. In this study, a new random number generator which uses the new scaled Zhongtang chaotic system with very complicated and interesting dynamic features is designed; also, a new effective and strong S-Box design algorithm utilizing this RNG (random number generator) is developed. Bits generated by RNG are put to NIST tests and they passed all the NIST tests. Non-linearity, bit independence criteria, strict avalanche criteria, differential approximation probability performance tests are run on the proposed S-Box produced by new S-Box design algorithm. The proposed S-Box is compared with other studies available in the literature, and it is proved stronger and more effective.