Diskretnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Diskretnaya Matematika, 2015, Volume 27, Issue 4, Pages 49–66
DOI: https://doi.org/10.4213/dm1347 (Mi dm1347) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The sum of modules of Walsh coefficients of Boolean functions

R. A. De La Krus Khimenes, O. V. Kamlovskii

LLC "Certification Research Center", Moscow
Full-text PDF (477 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/dm1347
Abstract: We obtain achievable lower and upper bounds for the sums of modules of Walsh coefficients of Boolean functions of $n$ variables. An average value of such sums in the class of all Boolean functions of $n$ variables and in its subclass consisting of all balanced functions is evaluated. We present some classes of nonlinear balanced functions whose sums of modules of Walsh coefficients are close to the obtained lower and upper bounds.
Keywords: Boolean functions, Walsh coefficients, filtering generators.
Received: 07.08.2015
English version:
Discrete Mathematics and Applications, 2016, Volume 26, Issue 5, Pages 259–272
DOI: https://doi.org/10.1515/dma-2016-0023
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: R. A. De La Krus Khimenes, O. V. Kamlovskii, “The sum of modules of Walsh coefficients of Boolean functions”, Diskr. Mat., 27:4 (2015), 49–66; Discrete Math. Appl., 26:5 (2016), 259–272
Citation in format AMSBIB
\Bibitem{De Kam15}
\by R.~A.~De La Krus Khimenes, O.~V.~Kamlovskii
\paper The sum of modules of Walsh coefficients of Boolean functions
\jour Diskr. Mat.
\yr 2015
\vol 27
\issue 4
\pages 49--66
\mathnet{http://mi.mathnet.ru/dm1347}
\crossref{https://doi.org/10.4213/dm1347}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3497372}
\elib{https://elibrary.ru/item.asp?id=24849940}
\transl
\jour Discrete Math. Appl.
\yr 2016
\vol 26
\issue 5
\pages 259--272
\crossref{https://doi.org/10.1515/dma-2016-0023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000390939400002}
Linking options:
  • https://www.mathnet.ru/eng/dm1347
  • https://doi.org/10.4213/dm1347
  • https://www.mathnet.ru/eng/dm/v27/i4/p49
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
    Statistics & downloads:
    Abstract page:778
    Full-text PDF :585
    References:74
    First page:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024