Lattice codes based on product constructions over F2q with applications to compute-and-forward
Yu-Chih Huang, Krishna R. Narayanan · 2013
A novel construction of lattices is proposed. This construction can be thought of as Construction A with linear codes that can be represented as the Cartesian product of two linear codes over Fq; hence, is referred to as the product construction. The existence of a sequence of Poltyrev-good lattices generated by the product construction under some conditions is shown. This family of lattices is then used to generate signal constellations with q2elements which can be used in conjunction with multilevel coding with channel codes over Fqinstead of Fq2to design good coded modulation schemes for compute-and-forward.