On Small Dense Sets in Galois Planes


Journal article


M. Giulietti
Electron. J. Comb., 2007

Semantic Scholar DBLP DOI
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APA   Click to copy
Giulietti, M. (2007). On Small Dense Sets in Galois Planes. Electron. J. Comb.


Chicago/Turabian   Click to copy
Giulietti, M. “On Small Dense Sets in Galois Planes.” Electron. J. Comb. (2007).


MLA   Click to copy
Giulietti, M. “On Small Dense Sets in Galois Planes.” Electron. J. Comb., 2007.


BibTeX   Click to copy

@article{m2007a,
  title = {On Small Dense Sets in Galois Planes},
  year = {2007},
  journal = {Electron. J. Comb.},
  author = {Giulietti, M.}
}

Abstract

This paper deals with new infinite families of small dense sets in desarguesian projective planes $PG(2,q)$. A general construction of dense sets of size about $3q^{2/3}$ is presented. Better results are obtained for specific values of $q$. In several cases, an improvement on the best known upper bound on the size of the smallest dense set in $PG(2,q)$ is obtained.


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