Features of choosing the chaotic systems for constructing generators of pseudo-random numbers
Journal Title: Телекомунікаційні та інформаційні технології - Year 2017, Vol 103, Issue 2
Abstract
In the paper are emphasized the basic criteria which the chaotic systems must pass for their use in the constructing of cryptographic applications. On example of logistic map it is shown, that to estimate the power of the set of keys properly, is necessary to avoid parameter values for which nonchaotic modes exist, what can be achieved by using the multidimensional maps. It is shown, that for software implementation of one-dimensional chaotic maps are observed collapse of chaos and short lengths of cycles in dependence from parameters and precision of calculations. It is noted methods of increasing the period of chaotic systems at their software and software-hardware implementation in conditions of limited precision calculations. It is shown that need use the ring-coupled maps to avoid collapse of chaos and short lengths of time series. For multidimensional variants of Lozi families maps and Tratas hyperchaotic system is determined the existence of chaotic modes continuous in control parameters
Authors and Affiliations
Oleh Krulikovskyi, Serhii Haliuk, Leonid Politanskyi
Keywords
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