(k,n,f)-arcs of Type (n-11,n) and monoidal (k,n,f)-arc in PG(2,11)

Abstract

Thepurpose of this work is to construct an examples of (k,n,f)-arcs of type (n-11,n) when the points of weight zero are greater than or equal seventy. We constructed a monoidal(k,n,f)-arc when the points of weight zero form a (110,11)-arc of type (10,121,2), also we constructed a maximum(100,10)-arc of type (30,100,3) in PG(2,11). Finally, we proved that there are(k,n,f)-arcs of type (n-11,n) when the points of weight one lies on only one n-weighting line of (k,n,f)-arcsand the points of weight two lies on exactly two n-weighting lines of (k,n,f)-arcs.