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arxiv: 1810.02494 · v2 · pith:3ODP7RBGnew · submitted 2018-10-05 · 🧮 math.CO · cs.CC· cs.IT· math.IT

A note on spanoid rank

classification 🧮 math.CO cs.CCcs.ITmath.IT
keywords mathcalrankspanoidtextsfanswersapproxconstructdgw18
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We construct a spanoid $\mathcal{S}$ on $n$ elements with $\textsf{rank}(\mathcal{S}) \ge n^c \textsf{f-rank}(\mathcal{S})$ where $c = \log_5 3 - \log_5 2.5 \approx 0.113283$. This answers a question of Dvir-Gopi-Wigderson [DGW18].

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