On Small Dense Sets in Galois Planes

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 3q2/3 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.

• Type: Journal
• Year: 2007
• Where: COMBINATORICS
• Authors: Massimo Giulietti
• Keywords: COMBINATORICS 2007, Dense Sets, Desarguesian Projective Planes, Small Dense Sets