An example related to the Erdos-Falconer question over arbitrary finite fields

Abstract

There exists an infinite family of examples of subsets of ${\mathbb{F}}_q^2$ with $q^{4/3}$ elements whose distance sets are not the whole of ${\mathbb{F}}_q$.

arXiv comment3 pages

Cited by in corpus (2)

• On the Pinned Distances Problem in Positive Characteristic
• Mattila--Sjölin type functions: A finite field model