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arXiv · 1606.01376

Universal Sets and Cover-Free Families

Debjyoti Saharoy·Shailesh Vaya
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Abstract

We propose a polynomial time construction of an $(n,d)$-universal set over alphabet $Σ=\{0,1\}$, of size $d\cdot 2^{d+o(d)}\cdot\log n$. This is an improvement over the size, $d^{5}2^{2.66d}\log n$, of an $(n,d)$-universal set constructed by Bshouty, \cite{BshoutyTesters}, over alphabet $Σ=\{0,1\}$.

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Debjyoti Saharoy, Shailesh Vaya. 2016-06-04. Universal Sets and Cover-Free Families. https://arxiv.org/abs/1606.01376

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