  A new class of domain wall fermions is defined that interpolates between
Shamir's and Bori\c{c}i's form without increasing the number of Dirac
applications per CG iteration. This class represents a full (real) M\"obius
transformation of the Wilson kernel. Simulations on quenched Wilson lattices
with $\beta = 6.0$ show that the number of lattice sites ($L_s$) in the fifth
dimension can be reduced by a factor of 2 or more at fixed value of chiral
symmetry violations measured by the residual mass ($m_{res}$).
