An image encryption scheme based on generalized synchronization theorem for discrete chaos system
Zang Hongyan · Journal of University of Science and Technology Beijing · 2007
A constructive theorem of generalized synchronization for discrete chaos systems is established. Based on the theorem, a generalized chaotic synchronization discrete system was constructed. Combining this system with the Henon chaotic mapping designs a digital image encryption scheme, which can successfully encrypt and decrypt gray-scale images without any lost. The scheme is sensitive to perturbations of the parameters and initial conditions of the chaos system. Any perturbations which are larger than 10~ -15 will make corresponding decryptions become impossible. The key space of the scheme is as large as 10~ 76 . The analysis of key space and key parameter sensitivity shows that the scheme has sound security. Numerical simulations reveal that the scheme is effective in network communication.