Nonbinary Quasi-Cyclic LDPC Cycle Codes with Low-Density Systematic Quasi-Cyclic Generator Matrices

Yang YANG; Chao CHEN; Jianjun MU; Jing WANG; Rong SUN; Xinmei WANG

doi:10.1587/transcom.E94.B.2620

Regular Section

Nonbinary Quasi-Cyclic LDPC Cycle Codes with Low-Density Systematic Quasi-Cyclic Generator Matrices

Yang YANG, Chao CHEN, Jianjun MU, Jing WANG, Rong SUN, Xinmei WANG

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Keywords: low-density parity-check (LDPC) code, nonbinary, quasi-cyclic (QC), low-density generator matrix, cycle code

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2011 Volume E94.B Issue 9 Pages 2620-2623

DOI https://doi.org/10.1587/transcom.E94.B.2620

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Abstract

In this letter, we propose an appealing class of nonbinary quasi-cyclic low-density parity-check (QC-LDPC) cycle codes. The parity-check matrix is carefully designed such that the corresponding generator matrix has some nice properties: 1) systematic, 2) quasi-cyclic, and 3) sparse, which allows a parallel encoding with low complexity. Simulation results show that the performance of the proposed encoding-aware LDPC codes is comparable to that of the progressive-edge-growth (PEG) constructed nonbinary LDPC cycle codes.

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