计算机工程与应用2018，Vol.54Issue(9)：84-88,5.DOI:10.3778/j.issn.1002-8331.1612-0149
一类二次多项式混沌及其随机数生成器设计
Designing a class of quadratic polynomial chaotic maps and their pseudo random number generator
摘要
Abstract
In this paper, a class of quadratic polynomial chaotic maps topologically conjugating Tent mapping is estab-lished.These maps have three system parameters and their probability density functions are given.Then,according to the corresponding probability density function, an inverse sine function is designed. By means of the inverse sine function transformation,the random number generated by the quadratic polynomial chaotic maps is uniformly distributed in the interval(-0.5,0.5).Finally,a pseudo random number generator capable of generating{0,2m-1}is designed by interval division.Theoretical analysis and experimental results show that the random sequence generated by the random number generator is sensitive to initial values,has good self-cross correlation properties and passes the NIST SP800-22 random number testing.关键词
二次多项式混沌映射/概率密度函数/自/互相关特性/NISTSP800-22检测Key words
quadratic polynomial chaotic maps/probability density function/self/cross correlation properties/NIST SP800-22 testing分类
信息技术与安全科学引用本文复制引用
朱淑芹,王文宏,李俊青..一类二次多项式混沌及其随机数生成器设计[J].计算机工程与应用,2018,54(9):84-88,5.基金项目
国家自然科学基金面上项目(No.61573178) （No.61573178）
聊城大学自然科学基金(No.318011606). （No.318011606）
