On the non-existence of complete (k,n)‎-arcs in pg(2,q)‎

الملخص EN

In this paper we discuss the non-existence of complete (k, n)-arcs in the projective plane of order q, and we find the largest value of k produces according to theorem (3.1), for which a (k, n)-arc dose not complete in the projective plane of order q "PG (2, q)" for k ≥ n, n ≠ q + 1, which is denoted by t*q (n).