An image cryptosystem based on pseudorandomly enhanced chaotic DNA and random permutation

Abstract

We propose an image encryption scheme based on pseudorandomly enhanced logistic map, random permutation and deoxyribonucleic acid coding in this paper. The scheme consists of two main phases: permutation and diffusion. Firstly, a random pixel permutation phase is carried out by a random permutation function to enhance the diffusion and statistical performance. Secondly, a DNA-based diffusion is performed via randomly selected DNA algebraic operations between the randomly permuted image matrix and a chaotic key matrix to produce the cipher image. Pseudorandomly enhanced logistic map is used to produce the key matrix while the direct logistic map is used to select DNA encoding/decoding rules and DNA algebraic operations. The chaos maps are driven by a SHA-256 hash value of the plain image. Experimental results based on several analyses including statistical, differential, key analyses, etc. show that the proposed scheme achieves robust encryption and provides sufficient resistance to various forms of attacks.