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理论上混沌具有非周期性,但利用有限精度的数字计算机产生密码系统的伪随机(PR)序列时会出现短周期问题,从而影响了序列的统计性能和密码系统的安全性。为提高伪随机序列的统计性能和解决短周期问题,提出了一个新的自动切换混沌系统,该系统由两个子系统组成,其结构和状态受其自身的伪随机变量控制,并在两个子系统之间自动随机转换。这相当于对一个混沌系统的结构、变量和参数同时随机扰动;也等效于两个混沌系统的混合。利用这种自动切换混沌系统可在数字实现时增大混沌伪随机序列的周期,提高其统计特性和密码系统的安全性。
In theory, chaos has aperiodicity. However, the short-period problem occurs when a pseudo-random (PR) sequence of a cryptosystem is generated by a finite-precision digital computer, thereby affecting the statistical performance of the sequence and the security of the cryptosystem. In order to improve the statistical performance of the pseudo-random sequence and solve the short-period problem, a new automatic switching chaotic system is proposed. The system consists of two subsystems whose structure and state are controlled by its own pseudo-random variables, Automatic random conversion between. This is equivalent to stochastic perturbation of the structure, variables and parameters of a chaotic system at the same time; it is also equivalent to the mixture of two chaotic systems. Using this automatic switching chaotic system can increase the period of the chaotic pseudo-random sequence in the digital realization, and improve the statistical characteristics and the security of the cryptosystem.