Title of article :
Existence of (k, n; f ) – arcs of type (n – 3, n) in PG(2, 9)
Author/Authors :
Hameed, F. K. University of Basrah - College of Education - Mathematics Department, Iraq , Abdul – Hussain, M. A. University of Basrah - College of Education - Mathematics Department, Iraq , Abass, M. Y. University of Basrah - College of Education - Mathematics Department, Iraq
Abstract :
In this paper we proved that there exists ( 81, 12; f ) – arc of type ( 9, 12 ) in PG(2, 9) in which the points of weight 0 form ( 10, 4 ) – arc of type (τ4=3¸τ3=O¸τ2=27¸ τ1=34 and τ0=27), when its 4 – secants are concurrent . Also we proved that there exists ( 76, 11; f ) – arc of type (8, 11) in PG(2, 9) when the points of weight 0 form ( 15, 6 ) – arc of type ( 1, 0, 0, 12, 54, 0, 24 ) in PG(2, 9
