Title of article :
The smallest size of the arc of degree three in a projective plane of order sixteen
Author/Authors :
Makhrib Al-Seraji, Najm Abdulzahra Department of Mathematics - College of Science - Mustansiriyah University, Baghdad, Iraq , Alawi Jarwan, Dunia Department of Mathematics - College of Science - Mustansiriyah University, Baghdad, Iraq
Abstract :
An (n;3)-arc in projective plane PG(2,q) of size n and degree three is a set of n points such that no four of them collinear but some three of them are collinear.An (n;r)-arc is said to be complete if it is not contained in (n+1;r)-arc. The aim of this paper is to construct the projectively distinct(n;3)-arcs in PG(2,16), determined the smallest complete arc in PG(2,16) then the stabilizer group of these arcs are established and we have identified the group with which it's isomorphic.
Keywords :
Projective Plane , Complete Arc
Journal title :
International Journal of Nonlinear Analysis and Applications
