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In this paper we are concentrating on the diversity-multiplexing gaintrade-off (DMT) of some space-time lattice codes. First we give a DMT bound forlattice codes having restricted dimension. We then recover the well knownresults of the DMT of algebraic number field codes and the Alamouti code byusing the union bound and see that these codes do achieve the previouslymentioned bound. During our analysis interesting connections to the Dedekind'szeta-function and to the unit group of algebraic number fields are revealed.Finally we prove that both the number field codes and Alamouti code are in somesense optimal codes in the multiple access channel (MAC).

An algebraic look into MAC-DMT of lattice space-time codes