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Prikladnaya Diskretnaya Matematika, 2021, Number 52, Pages 65–68
DOI: https://doi.org/10.17223/20710410/52/3 (Mi pdm737) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Theoretical Backgrounds of Applied Discrete Mathematics

On the nonexistence of certain orthogonal arrays of strength four

R. Kissa, G. P. Nagyba

a Bolyai Institute, University of Szeged, Szeged, Hungary
b Department of Algebra, Budapest University of Technology and Economics, Budapest, Hungary
Full-text PDF (624 kB) Citations (2)
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DOI: https://doi.org/10.17223/20710410/52/3
Abstract: We show that no orthogonal arrays $OA(16 \lambda, 11, 2,4)$ exist with $\lambda=6$ and $7$. This solves an open problem of the NSUCRYPTO Olympiad 2018. Our result allows to determine the minimum weights of certain higher order correlation-immune Boolean functions.
Keywords: orthogonal array, NSUCRYPTO.
Funding agency Grant number
National Research, Development and Innovation Office 2018-1.2.1-NKP-2018-00004
119687
115288
SNN 132625
Support provided from the National Research, Development and Innovation Fund of Hungary, financed under the 2018-1.2.1-NKP funding scheme, within the SETIT Project 2018-1.2.1-NKP-2018-00004. Partially supported by NKFIH-OTKA Grants 119687, 115288 and SNN 132625.
Bibliographic databases:
Document Type: Article
UDC: 519.142
Language: English
Citation: R. Kiss, G. P. Nagy, “On the nonexistence of certain orthogonal arrays of strength four”, Prikl. Diskr. Mat., 2021, no. 52, 65–68
Citation in format AMSBIB
\Bibitem{KisNag21}
\by R.~Kiss, G.~P.~Nagy
\paper On the nonexistence of certain orthogonal arrays of strength four
\jour Prikl. Diskr. Mat.
\yr 2021
\issue 52
\pages 65--68
\mathnet{http://mi.mathnet.ru/pdm737}
\crossref{https://doi.org/10.17223/20710410/52/3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000667023600003}
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  • https://www.mathnet.ru/eng/pdm/y2021/i2/p65
    • 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
    		Прикладная дискретная математика
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    References:24
     
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