Construction of High-Rate Regular Quasi-Cyclic LDPC Codes Based on Cyclic Difference Families
- Title
- Construction of High-Rate Regular Quasi-Cyclic LDPC Codes Based on Cyclic Difference Families
- Author
- 신동준
- Keywords
- Code length; code rate; cyclic difference families (CDFs); girth; quasi-cyclic (QC) low-density parity-check (LDPC) codes
- Issue Date
- 2013-08
- Publisher
- IEEE INSTITUTE OF ELECTRICAL AND ELECTRONICS
- Citation
- IEEE transactions on communications, Aug 2013, 61(8), P.3108-3113
- Abstract
- For a high-rate case, it is difficult to randomly construct good low-density parity-check (LDPC) codes of short and moderate lengths because their Tanner graphs are prone to have short cycles. Also, the existing high-rate quasi-cyclic (QC) LDPC codes can be constructed only for very restricted code parameters. In this paper, based on special classes of cyclic difference families, we propose a new construction method of high-rate regular QC LDPC codes having parity-check matrices consisting of a single row of circulants with column-weight 3 or 4. The proposed QC LDPC codes can be constructed for various code rates and lengths including the minimum achievable length for given column-weight and design rate under girth 6. It is observed that the parity-check matrices of the proposed QC LDPC codes have full rank for column-weight 3 and just one redundant row for column-weight 4. It is shown that the error correcting performance of the proposed QC LDPC codes of short and moderate lengths is almost the same as that of the existing ones through numerical analysis.
- URI
- http://ieeexplore.ieee.org/document/6560065/http://hdl.handle.net/20.500.11754/45497
- ISSN
- 0090-6778
- DOI
- 10.1109/TCOMM.2013.070213.120879
- Appears in Collections:
- COLLEGE OF ENGINEERING[S](공과대학) > ELECTRONIC ENGINEERING(융합전자공학부) > Articles
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