Designing a digital image encryption scheme using chaotic maps with prime modular

Abstract

This study proposes a scale-invariant digital image encryption method that includes three main steps rows-columns diffusion, the 3D scale-invariant modular chaotic map, and Hill diffusion. Pixels substitution, and mixing adjacency pixels of the plain image are performed using rows-columns diffusion and Hill diffusion. The 3D scale-invariant chaotic maps are used to permutation image pixels without image size restriction. Modular arithmetic is used in the 3D scale-invariant chaotic maps and Hill diffusion to increase keyspace and enhance security parameters. With repeat at least two rounds of main steps, the proposed encryption scheme reaches to optimum parameter values and it is highly sensitive to minor differences in both secret key and plain image, resulting in resisting chosen/known plaintext attacks effectively. Experimental results show that the proposed scheme demonstrates excellent security capacity with high efficiency, compared with existing approaches in digital image encryption.