Journal article
Electron. J. Comb., 2007
APA
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Giulietti, M. (2007). On Small Dense Sets in Galois Planes. Electron. J. Comb.
Chicago/Turabian
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Giulietti, M. “On Small Dense Sets in Galois Planes.” Electron. J. Comb. (2007).
MLA
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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.}
}
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.