Conics and multiple derivation

Let C¯ be a conic in PG(2,q2) and suppose we derive with respect to a derivation set or multiple derivation set. This paper looks at whether the conic C¯ gives rise to an inherited arc in the derived plane. Further, we construct two families of conics which give rise to inherited arcs after certain double derivations. Finally we construct a family of complete (q2+1)(q2+1)-arcs in certain André planes.