Font Size: a A A

Weighted (k,n)-arcs in the projective plane of order nine

Posted on:1990-02-22Degree:Ph.DType:Dissertation
University:University of London, Royal Holloway and Bedford New College (United Kingdom)Candidate:Hameed, Fouad KademFull Text:PDF
GTID:1477390017953518Subject:Mathematics
Abstract/Summary:
In this study the presence of (k,n;f)-arcs of two characters (m,n) in the Projective Plane of order 9 was investigated.The example of (85,13;f)-arcs of type (10,13) with the number of points of weight 0 is 6 was discussed. It was proved that there is no (85,13;f)-arc when the points of weight 0 form a (6,3)-arcs in PG(2,9). It was proved that there are two examples of (85,13;f)-arcs of type (10,13) when the points of weight 0 form a 6-arc which lies on a conic.The example of (81,12;f)-arcs of type (9,12) with the number of points of weight 0 is 10 was discussed. It was proved that there is no (81,12;f)-arc when the points of weight 0 form a a conic or a (10,3)-arc in PG(2,9).
Keywords/Search Tags:-arcs, Weight, Points
Related items