Secure image encryption scheme based on a new robust chaotic map and strong S-box

• Published in: Mathematics and computers in simulation Vol. 207; pp. 322 - 346
• Main Authors: Zhu, Shenli, Deng, Xiaoheng, Zhang, Wendong, Zhu, Congxu
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.05.2023
• Subjects: Chaos-based cryptography; Image encryption; Robust chaotic map; S-box; Image encryption; S-box; Robust chaotic map; Chaos-based cryptography
• ISSN: 0378-4754; 1872-7166
• DOI: 10.1016/j.matcom.2022.12.025

Because the characteristics of chaotic systems are very consistent with the requirements of cryptosystem, chaotic systems are widely used in the encryption of big data, especially the chaos based image encryption is particularly feasible. In this paper, a one-dimensional (1D) piece-wise quadratic polynomial chaotic map (PWQPCM) is proposed to obtain a new system model with better chaotic characteristics. Compared with some existing 1D chaotic systems, the proposed PWQPCM system has better dynamic performance. In particular, it exhibits robust chaotic behavior over a larger continuous parameter range, which is more suitable for cryptographic applications. In addition, a strong S-box construction method and a secure image encryption algorithm based on PWQPCM model are proposed. In this encryption algorithm, a new method of pixel segmentation encryption, S-box substitution and diffusion encryption is combined. The cryptosystem proposed in this paper has the advantages of good performance against data loss, low time cost and flexible adjustment of security strength. Simulation experiments and security analysis verified the above good performance of the encryption system, showing its good application potential in real-time image security communication. •A new map with wide range of robust chaos and large Lyapunov exponent is presented.•A class of strong S-boxes with high nonlinearity are constructed.•A fast and flexible new chaos-based image encryption algorithm is established.