On the non-existence of Complete (k,n)-arcs in PG(2,q)

Abstract

In this paper we discuss the non-existence of complete (k,n)-arcs in the projective plane of orderq, and we find the largest value of k produces according to theorem (3.1), for which a (k,n)-arc dosenot complete in the projective plane of order q "PG(2,q)" for k ≥ n , n ≠ q + 1 , which is denotedby t* (n) q .