1. A construction of the high-rate regular quasi-cyclic LDPC codes.
- Author
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Meng, Qi, Zhao, Jia Xiang, Xu, Wei, and Li, Liang
- Subjects
- *
LOW density parity check codes , *ERROR-correcting codes , *ELECTRONIC information resource literacy , *CIPHERS , *SIMULATION methods & models - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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