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  • Statistical characteristics of pseudorandom signal generators based on Lorentz, Chua and Dmitriev-Kislov systems, implemented over a finite Galois field

    The statistical characteristics and results of the FIPS 140-2 tests of a new class of pseudo-random signal generators based on modified Lorentz, Chua and Dmitriev-Kislov systems over the finite Galois field are considered. The estimates of the sidelobe levels of the correlation functions of the signals, as well as histograms of the probability distributions of the generated numbers, are obtained. Evaluations of compliance with the requirements of the FIPS 140-2 test of binary sequences generated on the basis of systems under variation of their parameters are obtained. The results of the work can be used in the construction of communication systems with broadband signals, simulation and cryptography.

    Keywords: dynamic chaos, radioelectronic dynamic systems, statistical properties