An Image Cipher Based on Latin Cubes

An image cipher based on Latin cubes is presented in this paper. Latin cube is the high-dimensional form of Latin square. Although Latin squares have been widely used in image encryption, the applications of Latin cubes in image encryption are still relatively few. Analogous to Latin squares, Latin cubes also have some excellent cryptographic properties, such as discreteness and uniformity. Specifically, Latin cubes have 3D attribute. Based on these properties, a permutation scheme which is highly plaintext-related and a substitution scheme which has strong diffusivity have been constructed in this paper. Simulation results demonstrate that the proposed algorithm has high security. It is therefore very suitable for the insecure network environment.