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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 6, Pages 41–44 (Mi vmumm735)  
This article is cited in 3 scientific papers (total in 3 papers)

Short notes

The minimal circuits for linear Boolean functions

Yu. A. Kombarov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (412 kB) Citations (3)
Abstract: The paper is devoted to realization of linear Boolean functions by circuits of functional elements in the basis {x&y,x∨y,¯x}. The main result is a structure description of the minimal circuits realizing linear Boolean functions.
Key words: circuit of functional elements, linear Boolean function, minimal circuit, standard block, standard reduction.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00508
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 07.02.2011
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: Yu. A. Kombarov, “The minimal circuits for linear Boolean functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 6, 41–44
Citation in format AMSBIB
\Bibitem{Kom11}
\by Yu.~A.~Kombarov
\paper The minimal circuits for linear Boolean functions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 6
\pages 41--44
\mathnet{http://mi.mathnet.ru/vmumm735}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2964323}
\zmath{https://zbmath.org/?q=an:1304.94133}
Linking options:
  • https://www.mathnet.ru/eng/vmumm735
  • https://www.mathnet.ru/eng/vmumm/y2011/i6/p41
    • This publication is cited in the following 3 articles:
    1. N. P. Redkin, “O minimalnoi realizatsii operatora sovpadeniya bulevykh naborov”, Diskret. matem., 37:1 (2025), 52–75  mathnet  crossref
    2. N. P. Redkin, “Obobschennaya slozhnost lineinykh bulevykh funktsii”, Diskret. matem., 30:4 (2018), 88–96  mathnet  crossref  mathscinet  elib
    3. Yu. A. Kombarov, “Complexity of realization of a linear Boolean function in Sheffer's basis”, Moscow University Mathematics Bulletin, 68:2 (2013), 114–117  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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