A note on large Kakeya sets

DOI10.1515/advgeom-2021-0018zbMath1479.51007arXiv2003.08480OpenAlexW3197140132MaRDI QIDQ2046817

Geertrui Van de Voorde, Maarten De Boeck

Publication date: 19 August 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08480

zbMATH Keywords

Kakeya set\(k\)-knots

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (2)

Intersection distribution, non-hitting index and Kakeya sets in affine planes ⋮ The geometric field of linearity of linear sets

Cites Work

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• Hyperovals in Knuth's binary semifield planes
• An improved lower bound on the size of Kakeya sets over finite fields
• Hyperovals in Hall planes
• Small Kakeya sets in non-prime order planes
• The minimal number of lines intersected by a set of \(q+2\) points, blocking sets, and intersecting circles
• The Kakeya problem: a gap in the spectrum and classification of the smallest examples
• On a problem of Neumann
• Some spectral results on Kakeya sets
• On some finite non-desarguesian planes
• On the size of Kakeya sets in finite fields
• The Finite Field Kakeya Problem
• Extensions to the Method of Multiplicities, with Applications to Kakeya Sets and Mergers

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