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Diskretnaya Matematika, 2022, Volume 34, Issue 2, Pages 7–25
DOI: https://doi.org/10.4213/dm1707 (Mi dm1707) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the relationship between local affinities of a Boolean function and some types of its degeneracy

A. A. Babueva, O. A. Logachev, V. V. Yashchenko

Lomonosov Moscow State University
Full-text PDF (517 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm1707
Abstract: The paper studies the relationships between local affinities of a Boolean function and some notions of its degeneracy (differential degeneracy, algebraic degeneracy, affine splittability). New relations connecting the parameters of local affinities and degeneracies are obtained. Relationships between some types of degeneracy of Boolean functions are found.
Keywords: Boolean function, degeneracy, differential degeneracy, algebraic degeneracy, local affinity, affine splittability, linearity index, spectrum of Boolean function, spectrum support.
Received: 01.04.2022
English version:
Discrete Mathematics and Applications, 2023, Volume 33, Issue 6, Pages 339–353
DOI: https://doi.org/10.1515/dma-2023-0031
Document Type: Article
UDC: 519.716.5+519.719.2
Language: Russian
Citation: A. A. Babueva, O. A. Logachev, V. V. Yashchenko, “On the relationship between local affinities of a Boolean function and some types of its degeneracy”, Diskr. Mat., 34:2 (2022), 7–25; Discrete Math. Appl., 33:6 (2023), 339–353
Citation in format AMSBIB
\Bibitem{BabLogYas22}
\by A.~A.~Babueva, O.~A.~Logachev, V.~V.~Yashchenko
\paper On the relationship between local affinities of a Boolean function and some types of its degeneracy
\jour Diskr. Mat.
\yr 2022
\vol 34
\issue 2
\pages 7--25
\mathnet{http://mi.mathnet.ru/dm1707}
\crossref{https://doi.org/10.4213/dm1707}
\transl
\jour Discrete Math. Appl.
\yr 2023
\vol 33
\issue 6
\pages 339--353
\crossref{https://doi.org/10.1515/dma-2023-0031}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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