A construction of the high-rate regular quasi-cyclic LDPC codes

• Main Authors: Qi Meng, Jia Xiang Zhao, Wei Xu, Liang Li
• Format: Article
• Language: English
• Published: SpringerOpen 2019-01-01
• Series: EURASIP Journal on Wireless Communications and Networking
• Subjects: High-rate; Regular; Quasi-cyclic; Low-density parity-check (LDPC) code
• Online Access: http://link.springer.com/article/10.1186/s13638-018-1325-9
• ISSN: 1687-1499

Abstract In this paper, a scheme to construct the high-rate regular quasi-cyclic low-density parity-check (QC-LDPC) codes is developed based on the finite geometry low-density parity-check (LDPC) codes. To achieve this, we first decompose the EG-LDPC code into a set of the block submatrices with each of them being cyclic. Utilizing the decomposed structure, we then construct an auxiliary matrix to facilitate us for identifying and eliminating 6-cycles of the block submatrices. In the simulation, seven regular QC-LDPC codes with code rates being 4/5, 7/8, 10/11, 11/12, and 12/13 of moderate code lengths are constructed with this scheme. The performances of these codes demonstrate the effectiveness of the proposed scheme.