  We carry out a finite density calculation based on a canonical approach which
is designed to address the overlap problem. Two degenerate flavor simulations
are performed using Wilson gauge action and Wilson fermions on $4^4$ lattices,
at temperatures close to the critical temperature $T_c\approx 170\MeV$ and
large densities (5 to 20 times nuclear matter density). In this region, we find
that the algorithm works well. We compare our results with those from other
approaches.
