On the size of Kakeya sets in finite fields
Abstract
A Kakeya set is a subset of Fn, where F is a finite field of q elements, that contains a line in every direction. In this paper we show that the size of every Kakeya set is at least Cn * qn, where Cn depends only on n. This improves the previously best lower bound for general n of ~q4n/7.
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