On the Size of Kakeya Sets in Finite Vector Spaces

Gohar Kyureghyan, Peter Müller, Qi Wang


For a finite field $\mathbb{F}_q$, a Kakeya set $K$ is a subset of $\mathbb{F}_q^n$ that contains a line in every direction. This paper derives new upper bounds on the minimum size of Kakeya sets when $q$ is even.


Kakeya set, finite vector space, finite fields, value set

Full Text: PDF