This paper introduces an innovative method for encrypting images, skillfully combining a modified logistic map (MLM), deoxyribonucleic acid (DNA) and the Archimedean optimization algorithm (AO). The resulting system is divided into three essential phases, each playing a distinct role: a permutation phase using the modified logistics map, a diffusion phase using DNA, and finally, an optimization phase incorporating AO. In the optimization phase, the AO is successfully deployed to determine the optimal sequence of masks for image encryption. A notable feature of this approach is its ability to improve the quality of DNA masks, making them compatible with the complex nature of images. Simulation results and performance evaluations attest to the feasibility of the proposed system for color image encryption, underlining at the same time its high level of security. One of the most remarkable aspects of this methodology lies in its ability to enhance entropy, thus conferring increased resistance to various statistical and differential attacks. The approach has been validated through experimental results, affirming its efficacy, consolidating its position as a robust and secure solution for image encryption. This research highlights the significant contribution of the AO algorithm in the specific field of image encryption, offering a major contribution to the evolution of security techniques in this area.
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