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Diskretnyi Analiz i Issledovanie Operatsii, 2016, Volume 23, Issue 1, Pages 65–81
DOI: https://doi.org/10.17377/daio.2016.23.498 (Mi da839) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On symmetric properties of APN functions

V. A. Vitkupab

a Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
Full-text PDF (295 kB) Citations (2)
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DOI: https://doi.org/10.17377/daio.2016.23.498
Abstract: We study symmetric properties of APN functions and the structure of their images. It is proven that there is no permutation of variables which keeps an APN function values. Upper bounds for the number of symmetric coordinate Boolean functions in APN function are obtained. Also, there are proven upper bounds for the number of coordinate Boolean functions of an APN function which are invariant under circular translation of indices. Upper bounds for the maximal number of coincidental values are obtained for $n\le6$. A lower bound for the number of different values of an arbitrary APN function is proven. Bibliogr. 14.
Keywords: vectorial Boolean function, APN function, symmetric function.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20635
Received: 11.06.2015
Revised: 27.08.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 1, Pages 126–135
DOI: https://doi.org/10.1134/S1990478916010142
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. A. Vitkup, “On symmetric properties of APN functions”, Diskretn. Anal. Issled. Oper., 23:1 (2016), 65–81; J. Appl. Industr. Math., 10:1 (2016), 126–135
Citation in format AMSBIB
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\by V.~A.~Vitkup
\paper On symmetric properties of APN functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2016
\vol 23
\issue 1
\pages 65--81
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\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 1
\pages 126--135
\crossref{https://doi.org/10.1134/S1990478916010142}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961612962}
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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
    		Дискретный анализ и исследование операций
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    References:59
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