Weighted (k, n )‎-arcs of type (n-4, n )‎ in PG (2, 8)‎

الملخص EN

The main purpose of this paper is to construct a (k, n : f)-arcs of type (n-4, n) in projective plane of order 8.

We proved that there exist (66, 16 ; f )-arc of type (12, 16) when the points of weight 0 form a (7, 3)-arc of type (7, 0, 42, 24) and (66, 15 ; f)-arc of type (11, 15) when the points of weight 0 form (7,3 )-arc of types (3, 12, 30, 28) and (2,15, 27, 29).