Achieving 1/2 log (1+SNR) on the AWGN channel with lattice encoding and decoding

By Uri Erez, Ram Zamir. IEEE Transactions on Information Theory, 2004

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Data-Hiding Codes (2005, methodology): “9)? Recently Erez and Zamir proved that the answer is “yes” [73].”
A vector-perturbation technique for near-capacity multiantenna multiuser communication-part II: perturbation (2005, methodology): “One way to achieve capacity on “dirty paper” and “dirty tape” interference channels is to encode consecutive symbols using an -dimensional lattice [26].”
Joint Physical Layer Coding and Network Coding for Bidirectional Relaying (2008, methodology): “We first restate some of the definitions in [17].”
Spatially coupled ensembles universally achieve capacity under belief propagation (2012, neutral): “eller [18], [19]. An important development in transmission over the continuous input, band-limited, additive white Gaussian noise channel was the invention of the lattice codes. It was shown in [20]– [24] that lattice codes achieve the Shannon capacity. A breakthrough in bandwidth-limited communicat”
A unified framework for tree search decoding: rediscovering the sequential decoder (2005, methodology): “shaping and random uniformly distributed dithering common to both the transmitter and the receiver, as shown in [18, 21 ].”
Capacity of the Gaussian Two-Way Relay Channel to Within ${1\over 2}$ Bit (2009, methodology): “In this paper, we focus on the Gaussian TRC with full-duplex nodes and no direct communication link between the source nodes.”