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

Combinatorics 2019-05-23 v2

Abstract

There exists an infinite family of examples of subsets of Fq2\mathbb{F}_q^2 with q4/3q^{4/3} elements whose distance sets are not the whole of Fq\mathbb{F}_q.

Keywords

Cite

@article{arxiv.1905.05634,
  title  = {An example related to the Erdos-Falconer question over arbitrary finite fields},
  author = {Brendan Murphy and Giorgis Petridis},
  journal= {arXiv preprint arXiv:1905.05634},
  year   = {2019}
}

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3 pages