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AbstractIn this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction parameters, i.e., the primes and dimensions of the codes, as functions of the block-length. The approach we take introduces an averaging argument that explicitly involves the considered parameters. This averaging argument is applied to a generalized Loeliger ensemble  to provide a more practical proof of the existence of AWGN-good lattices, and to characterize suitable parameters for the lattice Gaussian coding scheme proposed by Ling and Belfiore . © 2016 IEEE.
CitationAlghamdi W, Abediseid W, Alouini M-S (2016) On the construction of capacity-achieving lattice Gaussian codes. 2016 IEEE International Symposium on Information Theory (ISIT). Available: http://dx.doi.org/10.1109/ISIT.2016.7541551.
Conference/Event name2016 IEEE International Symposium on Information Theory, ISIT 2016