On the construction of capacity-achieving lattice Gaussian codes

Abstract

Construction of Capacity Achieving Lattice Gaussian Codes Wael AlghamdiWe 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.