OSMRD-IE: Octal-Based Shuffling and Multilayer Rotational Diffusing Image Encryption Using 2-D Hybrid Michalewicz–Ackley Map

The security of a chaos-based image encryption (IE) systems is based upon chaotic map’s performance and the encryption algorithm’s permutation and diffusion strategies. Nevertheless, existing IE schemes exhibit different drawbacks, such as limited disordering capabilities, inadequate dynamic performance, and the chaotic maps’ insensitivity. To address these limitations, this study presents an octal-based shuffling and multilayer rotational diffusing IE (OSMRD-IE) utilizing a 2-D hybrid Michalewicz–Ackley (2-D-HMA) map. The 2-D-HMA map has the capability to generate new hyperchaotic maps by integrating hybrid functions using different encapsulation functions. The integration of a map generator could lead to dynamic nature, chaotic perturbations, and parameter control mechanisms. To enhance the algorithm’s resilience against cyberthreats, the 2-D-HMA map-based OSMRD-IE scheme shuffles the pixels using octal-base scrambling and manipulates pixel values through multilayer rotation. By means of comparisons with existing techniques, the OSMRD-IE scheme’s reliability and 2-D-HMA map’s dynamic performance are validated independently. The superior chaotic properties of the 2-D-HMA map are evident in the experimental results, establishing OSMRD-IE as the more reliable scheme in both visual and quantitative comparisons.