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

Siyu Chen; Brian M. Kurkoski; Eirik Rosnes

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arXiv · 1810.02163

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

Siyu Chen·Brian M. Kurkoski·Eirik Rosnes

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Abstract

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.

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Siyu Chen, Brian M. Kurkoski, Eirik Rosnes. 2018-10-04. Construction D$^\prime$ Lattices from Quasi-Cyclic Low-Density Parity-Check Codes. https://arxiv.org/abs/1810.02163

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