S-Boxes design based on the Lu-Chen system and their application in image encryption

The substitution box (S-Box) plays a fundamental role in cryptographic algorithms. In this article, the Lu-Chen system is used to design a chaotic S-Box. We design two S-Boxes, one based on the rotation algorithm relative to the rows (or columns) and the other based on the Zigzag transformation. The...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Germany), 2024-10, Vol.28 (20), p.12119-12140
Main Authors: Savadkouhi, M. Bavand, Tootkaboni, M. Akbari
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Application of Soft Computing
Approximation
Artificial Intelligence
Boolean
Boxes
Chaos theory
Computational Intelligence
Confidentiality
Control
Criteria
Cryptography
Data encryption
Design
Efficiency
Encryption
Engineering
Fixed points (mathematics)
Mathematical Logic and Foundations
Mechatronics
Performance evaluation
Robotics
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Summary:The substitution box (S-Box) plays a fundamental role in cryptographic algorithms. In this article, the Lu-Chen system is used to design a chaotic S-Box. We design two S-Boxes, one based on the rotation algorithm relative to the rows (or columns) and the other based on the Zigzag transformation. The performance of the new S-Boxes is evaluated with the bijective, nonlinearity, strict avalanche criterion, output bit independence criterion, differential approximation probability, linear approximation probability, algebraic degree and not having a fixed point and opposite fixed point. The analysis results show that the proposed S-Boxes have suitable cryptographic properties. In addition, an image encryption algorithm based on two generated S-Boxed, and a generalized Lai–Massey structure is presented. Experimental results show that the proposed method has achieved acceptable security.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-024-09912-8