Finite Field Kakeya and Nikodym Sets in Three Dimensions
SIAM JOURNAL ON DISCRETE MATHEMATICS, pp. 2836-2849, 2018.
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.
PPT (Upload PPT)