Securing Images with Chaotic Map and Matrix Based Encryption

This paper presents a novel grayscale image encryption scheme that combines a high-dimensional chaotic map with a Suslin matrix-based diffusion process to achieve robust security and high computational efficiency. In the proposed method, a Hybrid Sinusoidal-Logistic-Chaotic (HSLC) map is employed to generate a pseudo-random sequence used for pixel permutation, thereby effectively disrupting spatial correlations in the plain image. Concurrently, a Suslin matrix is constructed based on parameters derived from a shared secret key, which is then used to perform block-wise diffusion on the permuted image. The diffusion process operates on non-overlapping 4×4 pixel blocks, ensuring that even minor changes in the plain image propagate widely in the cipher image. Security analysis, including evaluations of Shannon entropy, correlation coefficients, NPCR, UACI, and PSNR under noise attacks, demonstrates that the encrypted images exhibit high randomness, strong differential resistance, and low pixel correlation. Experimental results confirm that the proposed scheme is effective in securing images for real-time multimedia applications.