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Diskretnaya Matematika, 2002, Volume 14, Issue 4, Pages 87–109
DOI: https://doi.org/10.4213/dm265 (Mi dm265) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the number of solutions of systems of linear Boolean equations in a set of vectors with a given number of ones

V. A. Kopyttsev
Full-text PDF (1267 kB) Citations (11)
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DOI: https://doi.org/10.4213/dm265
Abstract: We consider the distribution of the number of solutions of systems of random Boolean equations in the set of vectors with a given number of ones (or of a given weight). Both for systems with independent left-hand and right-hand sides and for a fortiori consistent systems, we give sufficient conditions for the distributions to converge to the Poisson law and to the standard normal law.
Received: 30.04.2002
Revised: 10.09.2002
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. A. Kopyttsev, “On the number of solutions of systems of linear Boolean equations in a set of vectors with a given number of ones”, Diskr. Mat., 14:4 (2002), 87–109; Discrete Math. Appl., 12:6 (2002), 615–638
Citation in format AMSBIB
\Bibitem{Kop02}
\by V.~A.~Kopyttsev
\paper On the number of solutions of systems of linear Boolean equations in a set of vectors with a given number of ones
\jour Diskr. Mat.
\yr 2002
\vol 14
\issue 4
\pages 87--109
\mathnet{http://mi.mathnet.ru/dm265}
\crossref{https://doi.org/10.4213/dm265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1964122}
\zmath{https://zbmath.org/?q=an:1045.60071}
\transl
\jour Discrete Math. Appl.
\yr 2002
\vol 12
\issue 6
\pages 615--638
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  • https://www.mathnet.ru/eng/dm/v14/i4/p87
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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