%0 Journal Article %T The Finite Field Kakeya Problem %A Aart Blokhuis %A Francesco Mazzocca %J Mathematics %D 2009 %I arXiv %X A Besicovitch set in AG(n,q) is a set of points containing a line in every direction. The Kakeya problem is to determine the minimal size of such a set. We solve the Kakeya problem in the plane, and substantially improve the known bounds for n greater than 4. %U http://arxiv.org/abs/0911.4370v1