R. Kiss, G. P. Nagy, “On the nonexistence of certain orthogonal arrays of strength four”, Prikl. Diskr. Mat., 2021, no. 52, 65

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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. Kiss^a, G. P. Nagy^ba

^a Bolyai Institute, University of Szeged, Szeged, Hungary
^b Department of Algebra, Budapest University of Technology and Economics, Budapest, Hungary

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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}

Linking options:

https://www.mathnet.ru/eng/pdm737

https://www.mathnet.ru/eng/pdm/y2021/i2/p65

This publication is cited in the following 2 articles:

V. A. Idrisova, N. N. Tokareva, A. A. Gorodilova, I. I. Beterov, T. A. Bonich, E. A. Ishchukova, N. A. Kolomeets, A. V. Kutsenko, E. S. Malygina, I. A. Pankratova, M. A. Pudovkina, A. N. Udovenko, “Mathematical problems and solutions of the Ninth International Olympiad in Cryptography NSUCRYPTO”, PDM, 2023, no. 62, 29–54
A. A. Gorodilova, N. N. Tokareva, S. V. Agievich, I. I. Beterov, T. Beyne, L. Budaghyan, C. Carlet, S. Dhooghe, V. A. Idrisova, N. A. Kolomeec, A. V. Kutsenko, E. S. Malygina, N. Mouha, M. A. Pudovkina, F. Sica, A. N. Udovenko, “An overview of the Eight International Olympiad in Cryptography “Non-Stop University CRYPTO””, Sib. elektron. matem. izv., 19:1 (2022), 9–37

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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