Title
Multiplicatively Repeated Nonbinary LDPC Codes
Abstract
We propose non-binary LDPC codes concatenated with multiplicative repetition codes. By multiplicatively repeating the (2,3)-regular non-binary LDPC mother code of rate 1/3, we construct rate-compatible codes of lower rates 1/6, 1/9, 1/12,... Surprisingly, such simple low-rate non-binary LDPC codes outperform the best low-rate binary LDPC codes so far. Moreover, we propose the decoding algorithm for the proposed codes, which can be decoded with almost the same computational complexity as that of the mother code.
Year
DOI
Venue
2011
10.1109/TIT.2011.2162259
Clinical Orthopaedics and Related Research
Keywords
Field
DocType
repetition code,rate-compatible code,mother code,simple low-rate nonbinary ldpc,concatenated codes,nonbinary low-density parity-check code,low-rate code,nonbinary ldpc code,multiplicative repeated nonbinary ldpc codes,low-rate binary ldpc code,computational complexity,iterative decoding,multiplicative repetition code,decoding algorithm,rate-compatible codes,proposed code,regular nonbinary ldpc mother,parity check codes,rate compatible code,multiplicatively repeated nonbinary ldpc,decoding,sparse matrices,channel coding,ldpc code
Discrete mathematics,Combinatorics,Concatenated error correction code,Low-density parity-check code,Computer science,Turbo code,Serial concatenated convolutional codes,Block code,Raptor code,Linear code,Tornado code
Journal
Volume
Issue
ISSN
57
10
0018-9448
Citations 
PageRank 
References 
29
1.39
20
Authors
4
Name
Order
Citations
PageRank
K. Kasai131933.57
David Declercq215810.14
Charly Poulliat318532.37
Kohichi Sakaniwa433047.69