  This paper focuses on the encoding and decoding of Construction D' coding
lattices that can be used with shaping lattices for power-constrained channels.
Two encoding methods and a decoding algorithm for Construction D' lattices are
given. A design of quasi-cyclic low-density parity-check (QC-LDPC) codes to
form Construction D' lattices is presented. This allows construction of nested
lattice codes which are good for coding, good for shaping, and have low
complexity encoding and decoding. Numerical results of using $E_8$, $BW_{16}$
and Leech lattices for shaping a Construction D' lattice indicate that the
shaping gains 0.65 dB, 0.86 dB and 1.03 dB are preserved, respectively.
