空间Arnold猫映射耦合帐篷映象格子模型的密码学特性分析

Cryptographic Analysis of Spatial Arnold Coupled Tent Map Lattices System

采用具有均匀分布特性的帐篷映射作为耦合映象格子系统的非线性函数,并用Arnold猫映射作为耦合映象格子模型中格点间的耦合方式,对典型的时空混沌模型-耦合映象格子系统进行了改进,从互信息、分布特性、相空间结构、复杂度和Lyapunov指数等方面对其进行了仿真实验和分析。仿真实验结果表明,空间Arnold猫映射耦合帐篷映象格子模型的空间格子序列具有独立性,并且系统的遍历性及统计分布特性均得到改善。

By employing equally distributed tent map as the nonlinear function and Arnold cat maps as the coupling method between lattices in coupled map lattices, this paper proposed Arnold Coupled Tent Map Lattices system（ACTML） based on the classic model of spatiotemporal chaos- Coupled Map Lattices system （CML）. A detailed analysis of the system is done compared with Coupled Map Lattices system, including mutual information, distribution character, phase space structure, complexity, and Lyapunov exponent. The results indicate that spatial lattices of Arnold Coupled Tent Map Lattices system are independent of each others. In addition, ergodicity and distributions are enhanced.