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Diskretnaya Matematika, 2021, Volume 33, Issue 1, Pages 91–102
DOI: https://doi.org/10.4213/dm1634 (Mi dm1634) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Properties of proper families of Boolean functions

K. D. Tsaregorodtsev

Lomonosov Moscow State University
Full-text PDF (425 kB) Citations (3)
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DOI: https://doi.org/10.4213/dm1634
Abstract: We show that triangular families of Boolean functions comprise an exponentially small fraction of proper families of a given order. We prove that if $F$ is a proper family of Boolean functions, then the number of solutions of an equation $F(x) = A$ is even. Finally, we describe a new class of proper families of Boolean functions.
Keywords: proper family of Boolean functions, triangular family.
Received: 01.02.2021
English version:
Discrete Mathematics and Applications, 2022, Volume 32, Issue 5, Pages 369–378
DOI: https://doi.org/10.1515/dma-2022-0030
Document Type: Article
UDC: 519.716.322
Language: Russian
Citation: K. D. Tsaregorodtsev, “Properties of proper families of Boolean functions”, Diskr. Mat., 33:1 (2021), 91–102; Discrete Math. Appl., 32:5 (2022), 369–378
Citation in format AMSBIB
\Bibitem{Tsa21}
\by K.~D.~Tsaregorodtsev
\paper Properties of proper families of Boolean functions
\jour Diskr. Mat.
\yr 2021
\vol 33
\issue 1
\pages 91--102
\mathnet{http://mi.mathnet.ru/dm1634}
\crossref{https://doi.org/10.4213/dm1634}
\transl
\jour Discrete Math. Appl.
\yr 2022
\vol 32
\issue 5
\pages 369--378
\crossref{https://doi.org/10.1515/dma-2022-0030}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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