A novel image encryption–compression scheme using hyper-chaos and Chinese remainder theorem

摘要

Hyper-chaos has more than one positive Lyapunov exponents and it has more complex dynamical characteristics than chaos. Hence it becomes a better choice for secure image encryption schemes. In this paper, we propose a new image encryption scheme integrated with compression simultaneously. Specifically, we first use 2D hyper-chaos discrete nonlinear dynamic system to shuffle the plain image, and then we apply Chinese remainder theorem (well known in number theory) to diffuse and compress the shuffled image, simultaneously. This new scheme can be used to change the plain image information drastically and compress the plain image with a given compression ratio k, which is most crucial in multimedia transmission. Theoretical and experimental analyses both confirm the security and the validity of the proposed algorithm.