On ( k, n ; f )‎- arcs of type (n-5, n)‎ in PG (2, 5)‎

الملخص EN

In this paper we proved that the existence of (k, n; f) – arcs of type (n – 5 , n) in the projective plane of order q ; when the points of weight 0 are equal 13 .

For this purpose we use the technique in reference [1] and we deduced the example (18, 9; f) –arc of type (4, 9), in PG (2, 5) when the points of weight 0 form a (13, 4) – arc of type (3, 18, 6, 0, 4) .