一类可以产生独立同分布密钥流的混沌系统  

A class of topologically conjugated chaotic maps of tent map to generate independently and uniformly distributed chaotic key stream

作　　者：徐正光[1] 田清[1] 田立[2] 

机构地区：[1]北京科技大学自动化学院,北京100083 [2]北京航空航天大学宇航学院,北京100091

出　　处：《物理学报》2013年第12期32-37,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60573058)~~

摘　　要：构造了一类与帐篷映射拓扑同构的混沌系统,并根据拓扑共轭变换关系给出了此类混沌系统产生独立、均匀分布密钥流序列的采样规则.理论证明和数值模拟,均验证了结论的有效性.本文为产生独立同分布密钥流提供了更多的非线性系统选择.实验结果证明利用本文定理产生的密钥流能够通过美国信息技术管理改革法案的随机数检测标准(FIPS PUB140-2)和美国国家标准与技术研究院安全检测标准(NIST SP800-22),符合密钥流的选取标准.In this paper, a class of topologically conjugated maps of tent map is established, and the sampling rule is proved to generate the independently and uniformly distributed key streams. One example is given to show that the established chaotic system does not converge into zero in each parameter due to its nonlinear characteristic. Another example with different initial values and lengths of sequence is illustrated, in which the chaotic key stream generated by the proposed theorem is independently and uniformly distributed chaotic system and can successfully satisfy the randomness requirements in Federal Information Processing Standard 140-2（FIPS PUB 140-2） and National Institute of Standards and Technology Special Publication 800-22 （NIST SP800-22） test. The result in this paper can provide the theoretical foundation and more selections of systems to generate independently and uniformly distributed chaotic key stream.

关 键 词：独立同分布 混沌系统 帐篷映射 拓扑同构 

分 类 号：O415.5[理学—理论物理] TN918[理学—物理]