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Publication . Article . 2021

Digital model of a pseudo-random number generator based on a continuous chaotic system

Y. A. Drybin; S. V. Sadau; V. S. Sadau;
Open Access  
Published: 03 Jan 2021 Journal: Informatics, volume 17, pages 36-47 (issn: 1816-0301, eissn: 2617-6963, Copyright policy )
Publisher: United Institute of Informatics Problems of the National Academy of Sciences of Belarus
Abstract
It is shown that the choice of the time sampling parameter of the digital model of a continuous dynamic system with chaotic modes based on its dynamics makes it possible to control the characteristics of the output sequence, including avoiding short cycles and periodic behavior modes. On the example of the Lorentz system, the analysis of the law of motion of a chaotic system, linearized in the vicinity of points of stable and unstable equilibrium, is carried out, on the basis of which the parameters of the mathematical model of the generator of pseudo-random numbers are selected. The output sequence of numbers generated in proposed way is subjected to statistical and correlation analysis. Based on the results of the tests carried out, we can say that the obtained pseudo-random sequences based on continuous chaotic systems have statistically random properties and can be used in steganographic and cryptographic systems.
Subjects by Vocabulary

Microsoft Academic Graph classification: Generator (mathematics) Mathematics Sampling (signal processing) Dynamics (mechanics) Applied mathematics Sequence Motion (geometry) Lorentz transformation symbols.namesake symbols Basis (linear algebra) Chaotic

Subjects

time sampling, deterministic chaos, lorentz system, random sequences, digital model, Electronic computers. Computer science, QA75.5-76.95

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