Two-Distance Sets over Finite Fields

Fuente: arXiv
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Autore principale: Solymosi, Jozsef
Natura: Preprint
Pubblicazione: 2025
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author Solymosi, Jozsef
author_facet Solymosi, Jozsef
contents We show that Blokhuis' quadratic upper bound for two-distance sets is sharp over finite fields in almost all dimensions. Our construction complements Lisoněk's higher-dimensional maximal constructions that were carried out in Lorentz spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24590
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-Distance Sets over Finite Fields
Solymosi, Jozsef
Combinatorics
We show that Blokhuis' quadratic upper bound for two-distance sets is sharp over finite fields in almost all dimensions. Our construction complements Lisoněk's higher-dimensional maximal constructions that were carried out in Lorentz spaces.
title Two-Distance Sets over Finite Fields
topic Combinatorics
url https://arxiv.org/abs/2512.24590