Author/Authors :
Ahmad, Adil M. University of Baghdad - College of Education for Pure Science (Ibn AL-Haitham) - Department of Mathematics, Iraq , Al-Mukhtar, Aamal SH. University of Baghdad - College of Education for Pure Science (Ibn AL-Haitham) - Department of Mathematics, Iraq , Faiyadh, Mahmood S. University of Baghdad - College of Education for Pure Science (Ibn AL-Haitham) - Department of Mathematics, Iraq
Abstract :
The purpose of this work is to study the classification and construction of (k,3)-arcs in the projective plane PG(2,7). We found that there are two (5,3)-arcs, four (6,3)-arcs, six (7,3)-arcs, six (8,3)-arcs, seven (9,3)-arcs, six (10,3)-arcs and six (11,3)-arcs. All of these arcs are incomplete. The number of distinct (12,3)-arcs are six, two of them are complete. There are four distinct (13,3)-arcs, two of them are complete and one (14,3)-arc which is incomplete. There exists one complete (15,3)-arc.
