Two-Distance Sets over Finite Fields
Combinatorics
2026-01-01 v1
Abstract
We show that Blokhuis' quadratic upper bound for two-distance sets is sharp over finite fields in almost all dimensions. Our construction complements Lison\v{e}k's higher-dimensional maximal constructions that were carried out in Lorentz spaces.
Cite
@article{arxiv.2512.24590,
title = {Two-Distance Sets over Finite Fields},
author = {Jozsef Solymosi},
journal= {arXiv preprint arXiv:2512.24590},
year = {2026}
}