Development of a Substitution Box through an Innovative Chaotic Map and Permutation Technique

Abstract

Data security represents a fundamental aspect in protecting information assets. Organizations require robust mechanisms to safeguard their data, which constitutes their most valuable resource. Consequently, establishing data protection stands as the primary concern for organizational operations. Cryptographic methodologies serve as essential tools for ensuring data security. In this context, chaos theory demonstrates significant importance in cryptographic applications. This research presents an innovative approach for creating a dynamic S-Box utilizing chaotic mapping techniques. The chaos generation employs a chaotic map incorporating linear equations combined with exponential functions based on specific conditions, introducing chaotic elements into plain text to reduce vulnerability to cryptanalytic attacks. To enhance chaotic map robustness, several properties must be satisfied, including elevated non-linearity, SAC values approaching 0.5, and compliance with Linear probability, Differential uniformity, and BIC value requirements that satisfy the Bit Independence Criterion. The chaotic map produces a novel S-box that introduces uncertainty to data. Strong and robust cipher construction heavily relies on the substitution mechanism. Furthermore, the values obtained from our S-Box demonstrated superior performance compared to numerous existing S-Box designs.