(2q‎+‎1)-arcs in PG(3,q3)stabilized by a Sylow p-subgroup of PSL(2, q)

We construct arcs K of cardinality 2 q + 1 in the projective space P G ( 3 , q 3 ) , q = p h , p > 3 prime, from a cubic curve C . By construction, K is stabilized by a Sylow p-subgroup of the projectivities preserving C and it is contained in no twisted cubic of P G ( 3 , q 3 ) .