Abstract

In the current research, the points and lines of the projective plane of order five were constructed, this was followed by examining the arcs designated (k,n)-in this plane. As a result it is concluded that there arcs do exist having set of arcs (8,4)-where the number 8 represented the number of points of the arc while the number 4 represented the largest number of points lie on one line exactly which we obtain there arcs from arcs (7,4)-by using special method we reached it where we study the general properties of (k,n)-arcs in the projective plane PG(2,q).

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