A Security-Centric Analysis of Construction Paradigms, Cryptographic Metrics, and Practical Vulnerabilities for Chaos-Based S-Box Design and Image Encryption

Résumé

Chaos-based techniques have gained significant attention in symmetric cryptography, particularly for the construction of substitution boxes (S-boxes) and their application in image encryption systems. The inherent properties of chaotic systems, sensitivity to initial conditions, ergodicity, and pseudo-randomness, offer intuitive mechanisms for generating nonlinear and key-dependent substitution layers. However, many existing studies emphasize statistical performance indicators while overlooking rigorous cryptographic validation under established attack models. This review presents a systematic and critical survey of chaos-driven S-box generation and chaos-assisted image encryption architectures. We introduce a detailed taxonomy of construction methods, encompassing direct chaotic sequence mapping, algebraic–chaotic hybrid designs, dynamic and plaintext-dependent S-boxes, metaheuristic optimization-based approaches, and emerging machine learning–assisted techniques. The cryptographic strength of these methods is evaluated using standard metrics, including nonlinearity, differential uniformity, strict avalanche and bit independence criteria, algebraic degree, and resistance to linear and differential cryptanalysis. In addition, we examine the role of chaotic S-boxes within permutation–diffusion image encryption frameworks, lightweight real-time systems, and hybrid chaos–DNA schemes, emphasizing their practical deployment challenges and vulnerability patterns. The review highlights limitations related to finite-precision implementations, weak key generation, and the lack of standardized benchmarking. Finally, we propose a unified evaluation protocol and outline future research directions aimed at developing provably secure, efficient, and reproducible chaos-based cryptographic components for secure image communication.