An image encryption scheme based on generalized synchronization theorem for discrete array systems

First this paper introduces a discrete Lorenz three-dimensional chaotic (Lorenz) Cellular Neural Network (CNN). Second based on a constructive generalized chaos synchronization (GS) theorem for unidirectionally coupled discrete array system (UCDAS) presented in, and the Lorenz CNN, this paper constructs a coupled GS UCDAS with 51times51times6 cells. The hyper chaotic GS phenomena of the GS UCDAS have been simulated. Third using the GS UCDAS designs an image encryption scheme with a function similar to one-time-pad. The scheme is sensitive to the perturbations of the parameters and the initial conditions of the UCDAS.The key space of the scheme is larger than 10²⁸¹. The analysis of the key space, sensitivity of key parameters show that this scheme has sound security. Numerical simulations show that our scheme is effective to be used in secure communication.