Construction of Complete (k,n)-arcs from Conics in PG(2,13)

This research contains the construction of complete (k,n)-arcs using geometric method and putting a condition that each constructed arc must begin with reference unit four points ,then constructing all conics that each one contains the fundamental four points ,and then make union operation between each two conics and compute all the points need to be deleted (or added) to get complete (k,n)-arcs each time for . This research is a construction procedure not a classification method .