Construction-A full-diversity lattices
Joseph J. Boutros, Jean‐Claude Belfiore · 2016
Lattices from Construction A and non-binary codes are considered. These lattices are built from number fields as coset codes of the ring of integers OKmodulo an ideal I. Diversity of a Construction-A lattice Λ on block-fading channels is guaranteed by the chain Im⊂ Λ ⊂ OKm. We study how the code alphabet size should be chosen in order to avoid error floors on the Gaussian channel due to the sublattice Im. Our aim is to get Construction-A lattices that are good for both Gaussian and block-fading channels.