Results in projective geometry PG (r,23)‎ , r = 1,2

الملخص EN

In projective plane over a finite field q F , a conic is the unique complete (q + 1) -arc and any arcs on a conic are incomplete arc of degree less than q + 1.

These arcs correspond to sets in the projective line over the same field.

In this paper, The number of inequivalent incomplete k -arcs; k =5,6, ,12, on the conic in PG(2,23) and stabilizer group types are found.

Also, the projective line PG(1,23) has been splitting into two 12-sets and partitioned into six disjoint tetrads