القائمة الكاملة للأقواس-k المختلفة إسقاطيا في المستوي الإسقاطي PG (2, 8)‎

Abstract EN

A k-arc in a plane PG(2,q) is a set of k point such that every line in the plane intersect it in at most two points and there is a line intersect it in exactly two points.

A k-arc is complete if there is no k+1-arc containing it.

This thesis is concerned with studies a k-arcs, k=4,5,….,10 and classification of projectively distinct k-arcs and distinct arcs under collineation.

We prove by using computer program that the only complete k-arcs is for, k= 6,10.

This work take (150) hours computer time .