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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 5, Pages 71–85
DOI: https://doi.org/10.17377/daio.2015.22.481 (Mi da829) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Sufficient conditions for the minimal $\pi$-schemes for linear Boolean functions to be locally non-repeating

K. L. Rychkov

Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.17377/daio.2015.22.481
Abstract: We formulate sufficient conditions for the minimal $\pi$-schemes for linear Boolean functions to be locally non-repeating. The validity of these conditions gives a description of the classes of all minimal $\pi$-schemes for linear Boolean functions which depend essentially on n variables. Ill. 2, bibliogr. 12.
Keywords: formula size, $\pi$-scheme, lower bound on the complexity.
Received: 16.03.2015
Revised: 23.07.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 4, Pages 580–587
DOI: https://doi.org/10.1134/S1990478915040146
Bibliographic databases:
Document Type: Article
UDC: 519.714
Language: Russian
Citation: K. L. Rychkov, “Sufficient conditions for the minimal $\pi$-schemes for linear Boolean functions to be locally non-repeating”, Diskretn. Anal. Issled. Oper., 22:5 (2015), 71–85; J. Appl. Industr. Math., 9:4 (2015), 580–587
Citation in format AMSBIB
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\by K.~L.~Rychkov
\paper Sufficient conditions for the minimal $\pi$-schemes for linear Boolean functions to be locally non-repeating
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 5
\pages 71--85
\mathnet{http://mi.mathnet.ru/da829}
\crossref{https://doi.org/10.17377/daio.2015.22.481}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3467240}
\elib{https://elibrary.ru/item.asp?id=24323030}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 4
\pages 580--587
\crossref{https://doi.org/10.1134/S1990478915040146}
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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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