Secure Communications Scheme Based on Asymptotic Model of Deterministic Randomness

we propose a new cryptosystem by combing the Lissajous map, which is the asymptotic model of deterministic randomness, with the one-way coupled map lattice (OCML). The key space, the encryption efficiency, and the security are investigated. We find that the parameter sensitivity can reach the computational precision when the system size is only three, and all the lattice outputs can be treated as key streams parallelly, leading to great enhancement of the encryption efficiency. Moreover, this encryption system is secure under various attacks including the recently proposed differential-like chosen cipher attack. Key-Words: Chaotic cryptography; Deterministic randomness; Lissajous map