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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 5, Pages 67–75 (Mi da794)  
This article is cited in 1 scientific paper (total in 1 paper)

On algebraic immunity of Dillon's bent functions

S. Yu. Filyuzin

Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
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Abstract: It is known that the algebraic immunity of a Boolean function in $n$ variables doesn't exceed $\lceil n/2\rceil$. In this paper, it is proved that $\lceil n/4\rceil+1$ is an upper bound on the algebraic immunity of Dillon's bent functions constructed with linear functions. Bibliogr. 13.
Keywords: Boolean function, nonlinearity, bent function, algebraic immunity.
Received: 20.08.2013
Revised: 28.03.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 4, Pages 528–533
DOI: https://doi.org/10.1134/S1990478914040097
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: S. Yu. Filyuzin, “On algebraic immunity of Dillon's bent functions”, Diskretn. Anal. Issled. Oper., 21:5 (2014), 67–75; J. Appl. Industr. Math., 8:4 (2014), 528–533
Citation in format AMSBIB
\Bibitem{Fil14}
\by S.~Yu.~Filyuzin
\paper On algebraic immunity of Dillon's bent functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 5
\pages 67--75
\mathnet{http://mi.mathnet.ru/da794}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3328838}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 4
\pages 528--533
\crossref{https://doi.org/10.1134/S1990478914040097}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :128
    References:61
    First page:36
     
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