A new image encryption algorithm based on the high-dimensional chaotic map

Abstract

Because precision degradation of low-dimensional chaos has seriously affected the security of encryption, a high-dimensional chaos is designed for image encryption according to Devaney and topological conjugate definition. The characteristics of the high-dimensional chaotic map are proved by Devaney definition and the security features are analysed. Owing to the periodic defects of Cat map, a new separated Cat map is designed for the confusion process. The bilateral-diffusion scheme is used in the novel image encryption. The experiment analysis shows that the algorithm passes the random and pseudo-random sequence of test standard SP800-22 released by the National Institute of Standards and Technology Commission and the DIEHARD pseudo-random sequence test. And the experiment results demonstrate that the encryption scheme has a high security.

Keywords:

• Image encryption
• High-dimensional chaotic map
• Bilateral-diffusion
• New separated Cat map