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On the Finite Field Kakeya Problem in Two Dimensions

X. W. C. Faber
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Abstract

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.

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X. W. C. Faber. 2006-10-18. On the Finite Field Kakeya Problem in Two Dimensions. https://arxiv.org/abs/math/0510356

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