  We construct algebraic geometric codes from del Pezzo surfaces and focus on
the ones having Picard rank one and the codes associated to the anticanonical
class. We give explicit constructions of del Pezzo surfaces of degree 4, 5 and
6, compute the parameters of the associated anticanonical codes and study their
isomorphisms arising from the automorphisms of the surface. We obtain codes
with excellent parameters and some of them turn out to beat the best known
codes listed on the database codetable.
