A Chaotic Image Encryption Scheme with Complex Diffusion Matrix for Plain Image Sensitivity

Abstract

A chaotic cipher is presented in this paper using 1-Dimensional and 2- Dimensional chaotic maps like logistic, Chebyshev and Arnold cat map. Permutation phase utilizes logistic map followed by Arnold cat map whereas in diffusion phase, Chebyshev’s map is used. Subsequently, another complex diffusion matrix is generated from the original image. This matrix is employed to enhance the diffusion effect further. Eventually, strong input image sensitivity is explored due to this diffusion. Simulation results exhibit that the recommended cipher ensures not only high key and entropy value but also less correspondence between nearby pixels along all directions. The key point of this cipher is the high Number of Pixels Change Rate (NPCR) and Unified Average Changing Intensity (UACI) values. Due to this impact, the proposed cipher produces completely random encrypted images.