This article is cited in 1 paper

Theoretical Backgrounds of Applied Discrete Mathematics

On the nonexistence of certain orthogonal arrays of strength four

R. Kiss^a, G. P. Nagy<sup>ba

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

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.

UDC: 519.142

Language: English

DOI: 10.17223/20710410/52/3

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