一种新型的混沌伪随机数发生器

针对z-logistic这类特殊的混沌映射，实现了有限位计算精度下其真实演化轨道的精确计算.将该生成轨道的二值粗粒化输出用作伪随机序列，很大程度上保留了定义在实数域上混沌随机数发生器作为理想信息源的统计特性和随机特性，使得这种伪随机数发生器优良的统计分布和密码学性能得到理论上的强力支持.此外，该伪随机数发生器的周期长度可准确预测，采用简单算法可有效排除产生短周期的弱密钥，克服了传统混沌伪随机数发生器存在弱密钥且无法简单排除的重大缺陷.理论分析和数值实验验证了这种新型混沌伪随机数发生器在周期长度、统计分布和 关键词： 混沌 伪随机数发生器 信息源

A novel chaos-based pseudo-random number generator

A novel pseudo-random number generator based on z-logistic map is proposed. The observed binary sequence of the chaotic orbit which is realized exactly under finite computing precision mostly retains the statistical characteristics and the randomness of the chaos-based information source which is defined on real domain, so the cryptographic properties of this novel chaos-based pseudo-random number generator (CPRNG) can be supported theoretically. Moreover, the period of this CPRNG is predicable and the weak keys can be excluded using a simple algorithm. This CPRNG overcomes the disadvantage of the traditional CPRNG whose existing weak keys are difficult to be excluded. Theoretical analysis and simulation results demonstrate that the cryptographic properties of the novel CPRNG are good, so it has potential application prospect in many areas including data encryption.