基于TD-ERCS混沌系统的伪随机数发生器及其统计特性分析

Pseudo-random number generator based on TD-ERCS chaos and its statistic characteristics analysis

为了进一步分析切延迟椭圆反射腔映射系统(TDERCS)混沌系统的密码学意义上的安全性,采用TDERCS并行方式构造了一个结构简单的伪随机序列发生器.用户密码不再是固定不变的,可在[264,2672]区域内任意取值.对所产生的二值伪随机序列(即TDERCS序列)进行了均衡性、游程特性、相关性等基本统计特性初步测试,并与m序列、logistic序列、Chebyshev混沌序列、SCQC序列作了对比分析.实验表明,TDERCS序列有更好的统计特性.

To analyze the security of tangent-delay ellipse reflecting cavity-map system （TD-ERCS） trom the point view ot cryptography, a simple pseudo-random number generator （PRNG） is proposed with parallel TD-ERCS in this paper. Users＇ keys are no longer fixed, and can be chosen in the interval [ 2^64, 2^672] arbitrarily in the PRNG. By testing the basic statistic characteristics such as equilibrium, runs and correlation of the binary pseudo-random sequences （viz. TD-ERCS sequences） being generated from the PRNG, and comparing with m-sequences, the logistic sequences, Chebyshev sequences and SCQC sequences, the experimental results show that TD-ERCS sequences have better statistic characteristics.