  We provide a general classification of supersymmetric lattice gauge theories
that can be obtained from orbifolding of theories with four and eight
supercharges. We impose at least one preserved supercharge on the lattice and
Lorentz invariance in the naive continuum limit. Starting with four
supercharges, we obtain one two-dimensional lattice gauge theory, identical to
the one already given in the literature. Starting with eight supercharges, we
obtain a unique three-dimensional lattice gauge theory and infinitely many
two-dimensional lattice theories. They can be classified according to seven
distinct groups, five of which have two preserved supercharges while the others
have only one.
