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On the nonexistence of certain orthogonal arrays of strength four R. Kiss, G. P. Nagy

By: Kiss, RebekaContributor(s): Nagy, Gábor PéterMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): ортогональные массивы | NSUCRYPTO, международная олимпиада по криптографииGenre/Form: статьи в журналах Online resources: Click here to access online In: Прикладная дискретная математика № 52. С. 65-68Abstract: We show that no orthogonal arrays OA(16A, 11,2,4) exist with A = 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.
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We show that no orthogonal arrays OA(16A, 11,2,4) exist with A = 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.

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