  Recently, Branco da Silva and Silva described an efficient encoding and
decoding algorithm for Construction D$^\prime$ lattices. Using their algorithm,
we propose a Construction D$^\prime$ lattice based on binary quasi-cyclic
low-density parity-check (QC-LPDC) codes and single parity-check product codes.
The underlying codes designed by the balanced-distances rule contribute in a
balanced manner to the squared minimum distance of the constructed lattice,
which results in a high lattice coding gain. The proposed lattice based on IEEE
802.16e QC-LDPC codes is shown to provide competitive error-rate performance on
the power-unconstrained additive white Gaussian noise channel.
