A Modified Lattice Coding Strategy and its Application

This paper proposes a new scheme of capacity-achieving modulo-free encoding strategy for the AWGN channel based on lattice codes. The main idea of this scheme is giving an initial uniform distribution to lattice points and removing the modulo operation at Erez and Zamir framework [4]. Using our proposed scheme, we provide a new rate-region to obtain linear combination of codewords for the Gaussian Multiple Access Channel (MAC). In fact this framework using CSIT at some transmitters achieves linear combinations of codewords. By providing some examples, we show that this scheme can superior than the regular compute-and-forward scheme [9] for achieving some linear combinations.