Geodesic
On small dense sets in Galois planes
The electronic journal of combinatorics, Tome 14 (2007)
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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.
DOI : 10.37236/993
Classification : 51E20
Mots-clés : Galois plane, dense set, 1-saturating set, size of dense set 
@article{10_37236_993,
     author = {M. Giulietti},
     title = {On small dense sets in {Galois} planes},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/993},
     zbl = {1163.51001},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/993/}
}
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M. Giulietti. On small dense sets in Galois planes. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/993

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