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Prikladnaya Diskretnaya Matematika. Supplement, 2020, Issue 13, Pages 78–80
DOI: https://doi.org/10.17223/2226308X/13/23 (Mi pdma503) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Methods of Cryptography

On the number of unsuitable Boolean functions in constructions of filter and combining models of stream ciphers

T. A. Bonichab, M. A. Panferovba, N. N. Tokarevaca

a Novosibirsk State University
b JetBrains Research
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/13/23
Abstract: It is well known that every stream cipher is based on a good pseudorandom generator. For cryptographic purposes, we are interested in generation of pseudorandom sequences of the maximal possible period. A feedback register is one of the most known cryptographic primitives that is used in construction of stream generators. We analyze periodic properties of pseudorandom sequences produced by filter and combiner generators equipped with nonlinear Boolean functions. We determine which nonlinear functions in these schemes lead to pseudorandom sequences of not maximal possible period. We call such functions unsuitable and count the exact number of them for an arbitrary $n$.
Keywords: stream cipher, filter generator, combiner generator, gamma, Boolean function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation and Laboratory of Cryptography JetBrains Research.
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: English
Citation: T. A. Bonich, M. A. Panferov, N. N. Tokareva, “On the number of unsuitable Boolean functions in constructions of filter and combining models of stream ciphers”, Prikl. Diskr. Mat. Suppl., 2020, no. 13, 78–80
Citation in format AMSBIB
\Bibitem{BonPanTok20}
\by T.~A.~Bonich, M.~A.~Panferov, N.~N.~Tokareva
\paper On the number of unsuitable Boolean functions in constructions of filter and combining models of stream ciphers
\jour Prikl. Diskr. Mat. Suppl.
\yr 2020
\issue 13
\pages 78--80
\mathnet{http://mi.mathnet.ru/pdma503}
\crossref{https://doi.org/10.17223/2226308X/13/23}
\elib{https://elibrary.ru/item.asp?id=43990174}
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