We present a first calculation of the strange quark mass using domain wall
fermions. This paper contains an overview of the domain wall discretization
and a pedagogical presentation of the perturbative calculation necessary f
or computing the mass renormalization. We combine the latter with numerical
simulations to estimate the strange quark mass. Our final result in the qu
enched approximation is 95(26) MeV in the <(MS)over bar> scheme at a scale
of 2 GeV. We find that domain wail fermions have a small perturbative mass
renormalization, similar to Wilson quarks, and exhibit good scaling behavio
r. [S0556-2821(99)01723-3].