Title of article :
Bounds on mr(2, 29)
Author/Authors :
Daskalov, Rumen Department of Mathematics - Technical University of Gabrovo, Bulgaria , Metodieva, Elena Department of Mathematics - Technical University of Gabrovo, Bulgaria
Abstract :
An (n, r)-arc is a set of n points of a projective plane such
that some r, but no r + 1 of them, are collinear. The maximum size of
an (n, r)-arc in PG(2, q) is denoted by mr(2, q). In this paper thirteen
new (n, r)-arc in PG(2, 29) and a table with the best known lower and
upper bounds on mr(2, 29) are presented. The results are obtained by
non-exhaustive local computer search.
Keywords :
Maximum size of an (n, r)-arc , (l, t)- Blocking set in a projective plane , (n, r)-Arc in a projective plane , Finite projective plane
