Geodesic
On the nonexistence of certain orthogonal arrays of strength four
Prikladnaâ diskretnaâ matematika, no. 2 (2021), pp. 65-68

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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
Mots-clés : NSUCRYPTO. 
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     author = {R. Kiss and G. P. Nagy},
     title = {On the nonexistence of certain orthogonal arrays of strength four},
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R. Kiss; G. P. Nagy. On the nonexistence of certain orthogonal arrays of strength four. Prikladnaâ diskretnaâ matematika, no. 2 (2021), pp. 65-68. http://geodesic.mathdoc.fr/item/PDM_2021_2_a2/