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A note on spanoid rank

Combinatorics 2018-11-22 v2 Computational Complexity Information Theory math.IT
Authors: Yuzhou Gu
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Abstract

We construct a spanoid S\mathcal{S} on nn elements with rank(S)≥ncf-rank(S)\textsf{rank}(\mathcal{S}) \ge n^c \textsf{f-rank}(\mathcal{S}) where c=log⁡53−log⁡52.5≈0.113283c = \log_5 3 - \log_5 2.5 \approx 0.113283. This answers a question of Dvir-Gopi-Wigderson [DGW18].

Cite

@article{arxiv.1810.02494,
  title  = {A note on spanoid rank},
  author = {Yuzhou Gu},
  journal= {arXiv preprint arXiv:1810.02494},
  year   = {2018}
}

Comments

Merged into arXiv:1809.10372

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