New Large (n, r)-arcs in PG(2, q)

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 m r (2 ,q ). In this paper we present a new (184 , 12)-arc in PG(2 , 17) , a new (244 , 14)-arc and a new (267 , 15)-arc in PG(2 , 19) .