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Diskretnaya Matematika, 2016, Volume 28, Issue 4, Pages 50–57
DOI: https://doi.org/10.4213/dm1392 (Mi dm1392) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lower estimate for the cardinality of the domain of universal functions for the class of linear Boolean functions

A. A. Voronenkoab, M. N. Vyalyibcd

a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology
c National Research University "Higher School of Economics" (HSE), Moscow
d Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
Full-text PDF (408 kB) Citations (3)
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DOI: https://doi.org/10.4213/dm1392
Abstract: The paper puts forward a nontrivial lower estimate $2\frac16n$ for the cardinality of the domain of a universal function for the class of linear Boolean functions, where $n$ is the number of variables.
Keywords: linear function, function, universal function.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00362_а
Russian Science Foundation 16-11-10014
The research of M. N. Vyalyi was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 16–01–00362), A. A. Voronenko was supported by the Russian Science Foundation (grant no. 16-11-10014).
Received: 01.04.2016
English version:
Discrete Mathematics and Applications, 2017, Volume 27, Issue 5, Pages 319–324
DOI: https://doi.org/10.1515/dma-2017-0033
Bibliographic databases:
Document Type: Article
UDC: 517.718.7
Language: Russian
Citation: A. A. Voronenko, M. N. Vyalyi, “Lower estimate for the cardinality of the domain of universal functions for the class of linear Boolean functions”, Diskr. Mat., 28:4 (2016), 50–57; Discrete Math. Appl., 27:5 (2017), 319–324
Citation in format AMSBIB
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  • https://doi.org/10.4213/dm1392
  • https://www.mathnet.ru/eng/dm/v28/i4/p50
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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