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It has been conjectured that lattice codes are good for (almost) everything. As an additional bit of evidence for this claim, the authors offer a few results showing the utility of lattice codes for the AWGN relay channel. They show that the decode-and-forward rates of the relay channel can be achieved using lattice encoding and decoding. They present an encoding/decoding technique that uses a doubly-nested lattice code. Encoding is accomplished using a combination of superposition encoding and block Markov encoding, while decoding is accomplished using a strategy reminiscent of Cover and El Gamal's list decoding.
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