### Weighted(k,n)-arcs of Type(n-11,n)inPG(2,11)

*basrah journal of science*

2013, Volume 31, Issue 3 A, Pages 97-105

2013, Volume 31, Issue 3 A, Pages 97-105

#### Abstract

In this paper, we discussed a weighted (k ,n)-arcs of type (n-11,n) in projective plane of order eleven. We found a new methodology for the construction of the weighted (k,n)-arcs of two types. We proved that there exist a (78 ,n ;f)-arcs of type (n-11,n) when the points of weight zero is fifty five and the points of weight one form an envelope. Finally, we proved that there is a weighted (k ,n)-arcs of type (n-11,n) when the points of weight one lies on only one n-weighting line of a weighted (k ,n)-arcs and the points of weight two lies on exactly two n-weighting lines.

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