On the size of Kakeya sets in finite fields

Details On the size of Kakeya sets in finite fields On the size of Kakeya sets in finite fields

2008-03-16

arxiv.org/abs/0803.2336v3

Mathematics

Combinatorics

Improved bound and added references

Scientific paper

A Kakeya set is a subset of F^n, 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 C_n * q^n, where C_n depends only on n. This
improves the previously best lower bound for general n of ~q^{4n/7}.

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