Zhao Wenbo, Chang Zhenhai, Ma Caochuan, Shen Zhuozhuo
School of Electronic Information and Electrical Engineering, Tianshui Normal University, Tianshui 741000, China.
School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, China.
Entropy (Basel). 2023 Jan 13;25(1):166. doi: 10.3390/e25010166.
In this paper, a surjective mapping that satisfies the Li-Yorke chaos in the unit area is constructed and a perturbation algorithm (disturbing its parameters and inputs through another high-dimensional chaos) is proposed to enhance the randomness of the constructed chaotic system and expand its key space. An algorithm for the composition of two systems (combining sequence based on quantum random walks with chaotic system's outputs) is designed to improve the distribution of the system outputs and a compound chaotic system is ultimately obtained. The new compound chaotic system is evaluated using some test methods such as time series complexity, autocorrelation and distribution of output frequency. The test results showed that the new system has complex dynamic behavior such as high randomicity, unpredictability and uniform output distribution. Then, a new scheme for generating pseudorandom numbers is presented utilizing the composite chaotic system. The proposed pseudorandom number generator (PRNG) is evaluated using a series test suites such as NIST sp 800-22 soft and other tools or methods. The results of tests are promising, as the proposed PRNG passed all these tests. Thus, the proposed PRNG can be used in the information security field.
本文构造了一个在单位区域内满足李 - 约克混沌的满射映射，并提出了一种扰动算法（通过另一个高维混沌来扰动其参数和输入），以增强所构造混沌系统的随机性并扩展其密钥空间。设计了一种两个系统合成的算法（基于量子随机游走的序列与混沌系统输出相结合）来改善系统输出的分布，最终得到一个复合混沌系统。使用时间序列复杂度、自相关和输出频率分布等一些测试方法对新的复合混沌系统进行评估。测试结果表明，新系统具有高随机性、不可预测性和均匀输出分布等复杂动态行为。然后，利用该复合混沌系统提出了一种生成伪随机数 的新方案。使用诸如NIST sp 800 - 22软件等一系列测试套件以及其他工具或方法对所提出的伪随机数生成器（PRNG）进行评估。测试结果很有前景，因为所提出的PRNG通过了所有这些测试。因此，所提出的PRNG可用于信息安全领域。
