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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)
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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
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\paper The sum of modules of Walsh coefficients of Boolean functions
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\pages 49--66
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\jour Discrete Math. Appl.
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\vol 26
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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