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arXiv · 1905.05634

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

Brendan Murphy·Giorgis Petridis
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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 $\mathbb{F}_q$.

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Brendan Murphy, Giorgis Petridis. 2019-05-15. An example related to the Erdos-Falconer question over arbitrary finite fields. https://arxiv.org/abs/1905.05634

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