  We describe a method for determining gamma using B^+- -> D K^+- decays
followed by a multibody D decay. In the talk we focus on K_S pi^- pi^+ final
state, but other modes such as D -> K_S K^- K^+ and D -> K_S pi^- pi^+ pi^0 can
also be used. The main advantages of the method are that it uses only Cabibbo
allowed D decays, and that large strong phases are expected due to the presence
of resonances. Since no knowledge about the resonance structure is needed,
gamma can be extracted without any hadronic uncertainty.
