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Problemy Peredachi Informatsii, 2020, Volume 56, Issue 1, Pages 99–111
DOI: https://doi.org/10.31857/S0555292320010088 (Mi ppi2314) 		 
Information Protection

Piecewise polynomial sequences over the Galois ring

A. R. Vasin

Limited Liability Company “Certification Research Center,” Moscow, Russia
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DOI: https://doi.org/10.31857/S0555292320010088
Abstract: We describe the construction of a piecewise polynomial generator over a Galois ring and prove a transitivity criterion for it. We give an estimate for the discrepancy of the output sequences of such a generator. We show that the obtained estimate is asymptotically equivalent to known estimates for special cases of a piecewise polynomial generator, and in some cases it is asymptotically sharper.
Keywords: piecewise polynomial sequences, Galois ring, distribution of elements in a sequence, discrepancy, exponential sums.
Received: 21.07.2019
Revised: 05.02.2020
Accepted: 07.02.2020
English version:
Problems of Information Transmission, 2020, Volume 56, Issue 1, Pages 91–102
DOI: https://doi.org/10.1134/S0032946020010081
Bibliographic databases:
Document Type: Article
UDC: 621.391.1 : 519.7
Language: Russian
Citation: A. R. Vasin, “Piecewise polynomial sequences over the Galois ring”, Probl. Peredachi Inf., 56:1 (2020), 99–111; Problems Inform. Transmission, 56:1 (2020), 91–102
Citation in format AMSBIB
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    		Проблемы передачи информации Problems of Information Transmission
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