Improved Coupled Tent Map Lattices Model and Its Characteristics Analysis

An improved coupled map lattices (ICML) model consisting of tent maps is presented based on the security from the point view of cryptography. The model inherits the coupled diffusion and parallel iteration mechanism of coupled map lattices (CML). ICML system state can be traversed into ergodic state, and pseudo-random sequences with multiple-output and uniformly distributed characteristics can be generated quickly, by duple non-linear operation from the rolled-out and folded-over of local lattice’s tent map and modulo addition operation. Simulation and analysis demonstrate that the differential values distribution is the same between the sequences generated by ICML and the true random sequences with all elements having the equal appearance odds, and it is not feasible to distill and reproduce system architecture and parameter information from the sequences generated by ICML on computation. In addition, as compared with CML, which are often used in chaos-based cryptography by many other researchers, ICML model restraines effectively that short period’s phenomena can be produced from numeric chaotic system; and it has many special properties such as zero correlation in total field, uniform invariable distribution and that the maximum Lyapunov exponent is much bigger and steady. All of the properties suggest that ICML possesses the potential application in encryption.