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