Information Engineering College Beijing Institute of Petrochemical Technology Beijing, China

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Abstract—A coupled chaotic map lattices system with uniform distribution (CML-UD) consisting of tent maps, which generates spatiotemporal chaos, is presented based on the security from the point view of cryptography. The system inherited the coupled diffusion and parallel iteration mechanism of coupled map lattices (CML). Through the dual non-linear effect of the rolled-out and folded-over of local lattices tent map and modular algorithms, CML-UD allows the system to enter into an ergodic state, and to rapidly generate uniform distributed multi-dimensional pseudo-random sequences concurrently. The experimental results show that, the spatiotemporal chaos sequences generated by the system has the same differential distribution character with the real random sequence of which each element has equal appearance rate, and it effectively restrains the short-period phenomenon which is easy to occur in digital chaotic system. In addition, it had many special properties such as zero correlation in total field, uniform invariable distribution and the maximum Lyapunov exponent is much bigger and steady. All of the properties suggest that the CML-UD possesses the potential application in encryption.

Index Terms—cryptography, chaos, coupled map lattices, tent map, uniform distribution

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Cite: Jian-dong Liu, Kai Yang, "A Spatiotemporal Chaotic Sequence Based on Coupled Chaotic Tent Map Lattices System With Uniform Distribution," Journal of Computers vol. 6, no. 2, pp. 190-199, 2011.