Existence Of (18,9;f)-Arc Of Type (4,9) In PG(2,5)

Abstract

Abstract In this paper we prove the existence of (18,9;f)-arc of type (4,9) when L0 =13 in the projective plane of order five ,and classified it then give an example of this case .Then by personal computer we construct some projectively distinct (13,4)-arc in PG(2,5) and compare the results with (18,9;f)-arc of type (4,9) .Also this paper conclude the proves of the theorems that deduced.

Keywords

• (18,9
• f)-arc, (13,4)-arc, pg(2,5)