关键词: 伪随机数发生器, 时空混沌, 混沌密码, 分段Logistic映射

Abstract: The spatiotemporal chaotic system has good cryptographic properties and is often applied for Pseudorandom Number Generator（PRNG）. However, the density distribution of spatiotemporal chaotic system is not uniform, which is not good for the security of PRNG. To solve this problem, a new pseudorandom number generator based on spatiotemporal chaos is presented. To improve the cryptographic property of local map, the piecewise logistic map is used as the local map of the spatiotemporal chaos. The uniform density distribution is achieved by changing the coupled parameters of spatiotemporal chaos. The results of theory analysis and simulation test show that the sequences generated by the presented algorithm own good initial-value sensitivity and randomness. Meanwhile, the presented algorithm also has high efficiency. It can satisfy the security requirement of encrypting information.

Key words: pseudo-random generator, spatiotemporal chaos, chaos cryptography, piecewise Logistic map