English

On the size of Kakeya sets in finite vector spaces

Combinatorics 2013-02-25 v1

Abstract

For a finite field GF(q) a Kakeya set K is a subset of GF(q)^n that contains a line in every direction. This paper derives new upper bounds on the minimum size of Kakeya sets when q is even.

Keywords

Cite

@article{arxiv.1302.5591,
  title  = {On the size of Kakeya sets in finite vector spaces},
  author = {Gohar Kyureghyan and Peter Müller and Qi Wang},
  journal= {arXiv preprint arXiv:1302.5591},
  year   = {2013}
}