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arxiv: 1302.5591 · v1 · pith:XFRT6IBSnew · submitted 2013-02-22 · 🧮 math.CO

On the size of Kakeya sets in finite vector spaces

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keywords kakeyafinitesetssizeboundscontainsderivesdirection
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For a finite field GF(q) a Kakeya set K is a subset of GF(q)^n that contains a line in every direction. This paper derives new upper bounds on the minimum size of Kakeya sets when q is even.

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