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Diskretnaya Matematika, 2003, Volume 15, Issue 4, Pages 100–112
DOI: https://doi.org/10.4213/dm218
(Mi dm218)
 

This article is cited in 10 scientific papers (total in 10 papers)

On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis $\{x\to y,\bar x\}$

I. C. Shkrebela
References:
Abstract: We show that the minimal circuit of functional elements over the basis $\{x\to y,\bar x\}$ which realises a linear function of $n$ variables consists of $4n-4$ elements.
Received: 01.05.2002
English version:
Discrete Mathematics and Applications, 2003, Volume 13, Issue 5, Pages 483–496
DOI: https://doi.org/10.1515/156939203322694754
Bibliographic databases:
UDC: 519.95
Language: Russian
Citation: I. C. Shkrebela, “On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis $\{x\to y,\bar x\}$”, Diskr. Mat., 15:4 (2003), 100–112; Discrete Math. Appl., 13:5 (2003), 483–496
Citation in format AMSBIB
\Bibitem{Shk03}
\by I.~C.~Shkrebela
\paper On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis
$\{x\to y,\bar x\}$
\jour Diskr. Mat.
\yr 2003
\vol 15
\issue 4
\pages 100--112
\mathnet{http://mi.mathnet.ru/dm218}
\crossref{https://doi.org/10.4213/dm218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2050751}
\zmath{https://zbmath.org/?q=an:1047.94517}
\transl
\jour Discrete Math. Appl.
\yr 2003
\vol 13
\issue 5
\pages 483--496
\crossref{https://doi.org/10.1515/156939203322694754}
Linking options:
  • https://www.mathnet.ru/eng/dm218
  • https://doi.org/10.4213/dm218
  • https://www.mathnet.ru/eng/dm/v15/i4/p100
  • This publication is cited in the following 10 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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    Abstract page:495
    Full-text PDF :259
    References:32
    First page:1
     
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