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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}
Linking options:
  • https://www.mathnet.ru/eng/dm1634
  • https://doi.org/10.4213/dm1634
  • https://www.mathnet.ru/eng/dm/v33/i1/p91
    • This publication is cited in the following 3 articles:
    1. A. V. Galatenko, V. A. Nosov, A. E. Pankratev, K. D. Tsaregorodtsev, “O porozhdenii n-kvazigrupp s pomoschyu pravilnykh semeistv funktsii”, Diskret. matem., 35:1 (2023), 35–53  mathnet  crossref  mathscinet
    2. A. V. Galatenko, V. A. Nosov, A. E. Pankratiev, K. D. Tsaregorodtsev, “Proper families of functions and their applications”, Matem. vopr. kriptogr., 14:2 (2023), 43–58  mathnet  crossref
    3. A. V. Galatenko, A. E. Pankratiev, V. M. Staroverov, “Generation of proper families of functions”, Lobachevskii J. Math., 43:3 (2022), 571–581  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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