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Existence of small ordered orthogonal arrays

2021/09/03 by Schmidt, Kai-Uwe, Weiß, Charlene
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2109.01586

Abstract

We show that there exist ordered orthogonal arrays, whose sizes deviate from the Rao bound by a factor that is polynomial in the parameters of the ordered orthogonal array. The proof is nonconstructive and based on a probabilistic method due to Kuperberg, Lovett and Peled.

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