基于渐近确定随机性的伪随机数generator
Pseudo-random number generator based on asymptotic deterministic randomness
摘要：
本文提出了一种由渐近确定随机系统产生伪随机序列的方法。研究了由分段线性映射和不可逆非线性变换构造的渐近确定随机性的多值对应特性，并给出了有限数字化状态空间中的离散化系统。数值研究了渐近确定性随机性的统计特性，如平稳概率密度函数和类随机行为。此外，我们分析了符号序列的动力学。理论和实验结果表明，渐近确定随机性的符号序列具有很好的密码学性质，提高了基于混沌的PRBG的安全性，增强了对熵攻击和符号动力学攻击的抵抗能力.
英文摘要：
An approach to generate the pseudorandom-bit sequence from the asymptotic deterministic randomness system is proposed in this Letter. We study the characteristic of multi-value correspondence of the asymptotic deterministic randomness constructed by the piecewise linear map and the noninvertible nonlinearity transform, and then give the discretized systems in the finite digitized state space. The statistic characteristics of the asymptotic deterministic randomness are investigated numerically, such as stationary probability density function and random-like behavior. Furthermore, we analyze the dynamics of the symbolic sequence. Both theoretical and experimental results show that the symbolic sequence of the asymptotic deterministic randomness possesses very good cryptographic properties, which improve the security of chaos based PRBGs and increase the resistance against entropy attacks and symbolic dynamics attacks.
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