基于TD-ERCS混沌系统的伪随机数发生器及其统计特性分析

为了进一步分析切延迟椭圆反射腔映射系统(TD-ERCS)混沌系统的密码学意义上的安全性， 采用TD-ERCS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TD-ERC S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，TD-ERCS序列有更好的统计 特性. 关键词： 混沌 TD-ERCS PRNG 统计特性

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

To analyze the security of tangent-delay ellipse reflecting cavity-map system (TD-ERCS) from the point view of cryptography, a simple pseudo-random number generator (PRNG) is proposed with parallel TD-ERCS in this paper. Users' keys are n o longer fixed, and can be chosen in the interval 2⁶⁴, 2^{6 72}] arbitr arily in the PRNG. By testing the basic statistic characteristics such as equili brium, runs and correlation of the binary pseudo-random sequences (viz. TD-ERCS sequences) being generated from the PRNG, and comparing with m-sequences, the lo gistic sequences, Chebyshev sequences and SCQC sequences, the experimental resul ts show that TD-ERCS sequences have better statistic characteristics.