On the existence and the nonexistence of some (k,n)-arcs in PG(2,41)

Abstract

A (k,n)-arc is a set of k points of a projective plane such that some n, but no n+1 of them, are collinear. The maximum size of a (k,n)-arc in PG(2 q) is denoted by m_n (2,q). In this paper we found m_n (2,41) for n=(22,23,… ,40).