  We introduce a class of coded systems that we construct from sofic systems
and Dyck shifts and we study a class of subshifts that we obtain by excluding
words of length two from Dyck shifts. We derive expressions for zeta functions
and topological entropy. We derive an expression for the zeta function of
certain subshifts that we obtain by excluding words from Dyck shifts and of
certain subshifts that we obtain by excluding words from the subshifts that are
constructed from full shifts and Dyck shifts.
