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Diskretnaya Matematika, 2010, Volume 22, Issue 4, Pages 34–42
DOI: https://doi.org/10.4213/dm1117
(Mi dm1117)
 

This article is cited in 15 scientific papers (total in 15 papers)

The group of automorphisms of the set of bent functions

N. N. Tokareva
References:
Abstract: The bent functions are the Boolean functions of an even number of variables which are at the maximum possible distance from the set of all affine functions. In this paper, it is shown that each isometric mapping of the set of Boolean functions of $n$ variables to itself preserving the class of bent functions is a combination of an affine transformation of coordinates and a shift by an affine function. It is proved that the affine functions are precisely all Boolean functions which are at the maximum possible distance from the class of bent functions.
Received: 19.04.2010
Revised: 14.05.2010
English version:
Discrete Mathematics and Applications, 2010, Volume 20, Issue 5-6, Pages 655–664
DOI: https://doi.org/10.1515/DMA.2010.040
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. N. Tokareva, “The group of automorphisms of the set of bent functions”, Diskr. Mat., 22:4 (2010), 34–42; Discrete Math. Appl., 20:5-6 (2010), 655–664
Citation in format AMSBIB
\Bibitem{Tok10}
\by N.~N.~Tokareva
\paper The group of automorphisms of the set of bent functions
\jour Diskr. Mat.
\yr 2010
\vol 22
\issue 4
\pages 34--42
\mathnet{http://mi.mathnet.ru/dm1117}
\crossref{https://doi.org/10.4213/dm1117}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2796787}
\elib{https://elibrary.ru/item.asp?id=20730358}
\transl
\jour Discrete Math. Appl.
\yr 2010
\vol 20
\issue 5-6
\pages 655--664
\crossref{https://doi.org/10.1515/DMA.2010.040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952237781}
Linking options:
  • https://www.mathnet.ru/eng/dm1117
  • https://doi.org/10.4213/dm1117
  • https://www.mathnet.ru/eng/dm/v22/i4/p34
  • This publication is cited in the following 15 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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    Abstract page:496
    Full-text PDF :217
    References:65
    First page:16
     
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