Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2017, Volume 8, Issue 4, Pages 75–98
DOI: https://doi.org/10.4213/mvk240 (Mi mvk240) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The sum of modules of Walsh coefficients for some balanced Boolean functions

O. V. Kamlovskii

Certification Research Center, LLC, Moscow
Full-text PDF (225 kB) Citations (4)
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DOI: https://doi.org/10.4213/mvk240
Abstract: We consider the following balanced Boolean functions: a) constructed from normal bent-function by the Dobbertin method, b) majority function, c) functions whose units values are located consequentially in the truth table. Exact formulas and bounds for sums of modules of Walsh coefficients are obtained.
Key words: Boolean functions, Walsh coefficients, filtering generators, combining generators.
Received 11.V.2017
Bibliographic databases:
Document Type: Article
UDC: 519.12+519.719.2
Language: Russian
Citation: O. V. Kamlovskii, “The sum of modules of Walsh coefficients for some balanced Boolean functions”, Mat. Vopr. Kriptogr., 8:4 (2017), 75–98
Citation in format AMSBIB
\Bibitem{Kam17}
\by O.~V.~Kamlovskii
\paper The sum of modules of Walsh coefficients for some balanced Boolean functions
\jour Mat. Vopr. Kriptogr.
\yr 2017
\vol 8
\issue 4
\pages 75--98
\mathnet{http://mi.mathnet.ru/mvk240}
\crossref{https://doi.org/10.4213/mvk240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3770676}
\elib{https://elibrary.ru/item.asp?id=32641310}
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  • https://doi.org/10.4213/mvk240
  • https://www.mathnet.ru/eng/mvk/v8/i4/p75
    • This publication is cited in the following 4 articles:
    1. A. S. Tissin, S. A. Kuzmin, “Otsenka krivizny funktsii vydeleniya razryada v dvoichnom predstavlenii chisla”, Diskret. matem., 37:1 (2025), 112–118  mathnet  crossref
    2. G. A. Isaev, “O mnozhestvakh kriteriya rasprostraneniya dlya strogo mazhoritarnykh bulevykh funktsii”, Diskret. matem., 35:1 (2023), 62–70  mathnet  crossref
    3. R. A. de la Cruz Jiménez, “On some properties of the curvature and nondegeneracy of Boolean functions”, Matem. vopr. kriptogr., 13:2 (2022), 65–98  mathnet  crossref  mathscinet
    4. O. A. Logachev, S. N. Fedorov, V. V. Yashchenko, “On the Δ-equivalence of Boolean functions”, Discrete Math. Appl., 30:2 (2020), 93–101  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические вопросы криптографии
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