Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2014, Volume 5, Issue 1, Pages 95–125
DOI: https://doi.org/10.4213/mvk109 (Mi mvk109) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers

A. V. Mikhaleva, A. A. Nechaevb

a Lomonosov Moscow State University, Moscow
b Academy of Cryptography of the Russian Federation, Moscow
Full-text PDF (274 kB) Citations (2)
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DOI: https://doi.org/10.4213/mvk109
Abstract: We investigate the approach to the construction of the generator of pseudorandom sequences by means of an automaton realizing the family of polylinear recurrent sequences. As characteristics describing potentially possible periods of output sequences of such generator we consider the cyclic type and the function of periods. Descriptions of these characteristics for families of geometric, arithmetic and congruent polylinear sequences over finite field are provided.
Key words: polylinear recurrent sequences, finite fields, pseudorandom sequences, cycle type.
Received 20.IV.2012
Document Type: Article
UDC: 519.217.2
Language: Russian
Citation: A. V. Mikhalev, A. A. Nechaev, “Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers”, Mat. Vopr. Kriptogr., 5:1 (2014), 95–125
Citation in format AMSBIB
\Bibitem{MikNec14}
\by A.~V.~Mikhalev, A.~A.~Nechaev
\paper Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers
\jour Mat. Vopr. Kriptogr.
\yr 2014
\vol 5
\issue 1
\pages 95--125
\mathnet{http://mi.mathnet.ru/mvk109}
\crossref{https://doi.org/10.4213/mvk109}
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  • https://www.mathnet.ru/eng/mvk/v5/i1/p95
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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