%0 Journal Article %T On the Finite Field Kakeya Problem in Two Dimensions %A X. W. C. Faber %J Mathematics %D 2005 %I arXiv %X A two-dimensional Besicovitch set over a finite field is a subset of the finite plane containing a line in each direction. In this paper, we conjecture a sharp lower bound for the size of such a subset and prove some results toward this conjecture. %U http://arxiv.org/abs/math/0510356v2