  With the ansatz that there exist local or global discrete symmetries in the
special branes' neighborhoods, we can construct the extra dimension models with
only zero modes, or the models which have large extra dimensions and
arbitrarily heavy KK modes because there is no simple relation between the mass
scales of extra dimensions and the masses of KK states. In addition, the bulk
gauge symmetry and supersymmetry can be broken on the special branes for all
the modes, and in the bulk for the zero modes by local and global discrete
symmetries. To be explicit, we discuss the supersymmetric SU(5) model on
$M^4\times S^1/Z_2$ in which there is a local $Z_2'$ symmetry in the special
3-brane neighborhood along the fifth dimension.
