A new one-dimensional chaotic map for image encryption scheme based on random DNA coding

Abstract

In this paper, we propose a novel one-dimensional sine - cosine chaotic map (SCCM) to address the shortcomings of existing one-dimensional chaotic maps. And demonstrating that SCCM has better chaotic performance than existing more advanced one-dimensional chaotic maps using a series of performance metrics. Such as bifurcation diagram, Lyapunov exponent, approximate entropy. In addition, we propose an image encryption algorithm based on SCCM and random DNA operations. In confusion process, the chaotic sequence generated by the SCCM is used to achieve simultaneous row and column indexing dislocation of the plaintext image, and this phase can be performed more times to achieve better confusion results. Random DNA coding is designed in the encryption scheme, in which the coding, decoding and calculating rules are randomly selected by chaotic sequences based on the principle of one pixel for one rule, making the algorithm achieve greater security and sophistication. Furthermore, the initial conditions of the chaotic map are generated by the SHA-512 value associated with the plaintext, which improves the ability of the algorithm to resist chosen-plaintext attacks while expanding the key space of the algorithm. Simulation results and security analysis prove that the algorithm is resistant to various attacks and has good encryption capability.