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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2016, Volume 7, Issue 4, Pages 29–50
DOI: https://doi.org/10.4213/mvk202 (Mi mvk202) 		 
This article is cited in 18 scientific papers (total in 19 papers)

On the approximation of discrete functions by linear functions

M. M. Glukhov

Academy of Cryptography of the Russian Federation, Moscow
Full-text PDF (190 kB) Citations (19)
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DOI: https://doi.org/10.4213/mvk202
Abstract: A review of many results on planar, perfect and almost perfect functions is given. Mixing property of PN-functions is proved, new necessary conditions for APN-functions over the field F2 with even number of arguments n are found. A notion of the planar functions on quasigroups is introduced and criterion of planarity of quasigroup mapping is proved.
Key words: discrete functions, perfect nonlinear functions, functions over quasigroups.
Received 02.VII.2016
Bibliographic databases:
Document Type: Article
UDC: 512.12+519.719.2
Language: Russian
Citation: M. M. Glukhov, “On the approximation of discrete functions by linear functions”, Mat. Vopr. Kriptogr., 7:4 (2016), 29–50
Citation in format AMSBIB
\Bibitem{Glu16}
\by M.~M.~Glukhov
\paper On the approximation of discrete functions by linear functions
\jour Mat. Vopr. Kriptogr.
\yr 2016
\vol 7
\issue 4
\pages 29--50
\mathnet{http://mi.mathnet.ru/mvk202}
\crossref{https://doi.org/10.4213/mvk202}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3621521}
\elib{https://elibrary.ru/item.asp?id=28931403}
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    • This publication is cited in the following 19 articles:
    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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    Full-text PDF :432
    References:124
    First page:21
     
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