Finite Field Kakeya and Nikodym Sets in Three Dimensions

Ben D. Lund
Ben D. Lund
Charles Wolf
Charles Wolf

SIAM JOURNAL ON DISCRETE MATHEMATICS, pp. 2836-2849, 2018.

Cited by: 3|Views31
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Abstract:

We give improved lower bounds on the size of Kakeya and Nikodym sets over F-q(3). We also propose a natural conjecture on the minimum number of points in the union of a not-too-flat set of lines in F-q(3) and show that this conjecture implies an optimal bound on the size of a Nikodym set.

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