Title of article :
The Construction of (k,3)-Arcs in PG(2,9) by Using Geometrical Method
Author/Authors :
Mahmod, Adil University of Baghdad - College of Education For Pure Science(Ibn Al-Haitham) - Dept of Mathematics, Iraq , Al-Mukhtar, Amal .SH. University of Baghdad - College of Education For Pure Science(Ibn Al-Haitham) - Dept of Mathematics, Iraq , Kareem, Fatema.F. University of Baghdad - College of Education For Pure Science(Ibn Al-Haitham) - Dept of Mathematics, Iraq
Abstract :
In this work, we construct projectively distinct (k,3)-arcs in the projective plane PG(2,9) by applying a geometrical method. The cubic curves have been been constructed by using the general equation of the cubic. We found that there are complete (13,3)-arcs, complete (15,3)-arcs and we found that the only (16,3)-arcs lead to maximum completeness.
Keywords :
arcs , secant , Projective , Plane
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
