A new class of domain wall fermions is defined that interpolates between Shamir's and Bori��i's form without increasing the number of Dirac applications per CG iteration. This class represents a full (real) M��bius transformation of the Wilson kernel. Simulations on quenched Wilson lattices with $��= 6.0$ 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 ($m_{res}$).

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