On the nonexistence of certain orthogonal arrays of strength four

Abstract

We show that no orthogonal arrays $OA(16\lambda ,11,2,4)$ exist with $\lambda =6$ and $\lambda =7$. This solves an open problem of the NSUCRYPTO Olympiad 2018. Our result allows us to determine the minimum weights of certain higher-order correlation-immune Boolean functions.

Cited by in corpus (1)

• The Seventh International Olympiad in Cryptography: problems and solutions