基于混沌系统的伪随机信号发生器在伽罗瓦有限域上的实现

S. Loginov, M. Zuev
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引用次数: 3

摘要

考虑了一类基于改进的Lorentz、Chua、Dmitriev-Kislov和Anischenko-Astakhov系统的伪随机信号发生器在有限伽罗瓦场上的统计特性和FIPS 140-2测试结果。得到了信号相关区间的估计,以及生成数的概率分布的直方图。对满足FIPS 140-2试验要求的系统所形成的二值序列进行了随系统参数变化的顺应性评价。研究结果可用于宽带通信系统的构建、建模和密码学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chaotic Systems Based Pseudo-Random Signal Generators Realized Over a Galois Finite Field
The statistical characteristics and results of the FIPS 140–2 tests of a new class of pseudo-random signal generators based on the modified Lorentz, Chua, Dmitriev-Kislov and Anischenko-Astakhov systems over the finite Galois field are considered. The estimates of the signal correlation intervals, as well as histograms of the probability distributions of the generated numbers, are obtained. Evaluation of the compliance of binary sequences formed on the basis of systems with the requirements of the FIPS 140–2 test with variation of systems parameters was obtained. The results of the work can be used in the construction of communication systems with broadband signals, modeling and cryptography.
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