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Recently, Branco da Silva and Silva described an efficient encoding anddecoding algorithm for Construction D$^\prime$ lattices. Using their algorithm,we propose a Construction D$^\prime$ lattice based on binary quasi-cycliclow-density parity-check (QC-LPDC) codes and single parity-check product codes.The underlying codes designed by the balanced-distances rule contribute in abalanced manner to the squared minimum distance of the constructed lattice,which results in a high lattice coding gain. The proposed lattice based on IEEE802.16e QC-LDPC codes is shown to provide competitive error-rate performance onthe power-unconstrained additive white Gaussian noise channel.

Construction D$^\prime$ Lattices from Quasi-Cyclic Low-Density Parity-Check Codes