Hyper-chaotic cat map and its application in image processing

In this paper, a digital image encryption scheme is investigated based on n dimensional (n-D) generalized hyper-chaotic cat map. Firstly, the transformation matrix in n-D map is constructed by using n(n-1)/2 transformation sub-matrix multiplication. Secondly, a novel approach is proposed that the possible sorting numbers of transformation sub-matrix multiplication are used as encrypted keys, which is applied to image encryption. It is the first time in the literature to report the image encryption scheme based on high dimensional hyper-chaotic cat map. Both theoretical analysis and numerical experiment results have confirmed the feasibility of the proposed method.