Zhu, JinggeGastpar, Michael2015-04-132015-04-132015-04-13201410.1109/ISIT.2014.6875374https://infoscience.epfl.ch/handle/20.500.14299/113072WOS:000346496103018Lattice codes are applied to the two-user Gaussian multiple access channel (MAC) combined with a modified compute-and-forward transmitting scheme. It is shown that non-corner points on the boundary of the capacity region can be achieved by decoding two integer sums of the codewords, which can be viewed as a generalization of the well-known successive cancellation decoding. A similar idea is then applied to the so-called dirty MAC where two interfering signals are known non-causally to the two transmitters in a distributed fashion. Our scheme recovers previously known results and gives new achievable rate regions. The proposed scheme can be extended to the case with more than two users.text::conference output::conference proceedings::conference paper