Weight Distribution for Non-binary Cluster LDPC Code Ensemble

Weight Distribution for Non-binary Cluster LDPC Code Ensemble

This paper derives the average symbol and bit weight distributions for the irregular non-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, we give the exponential growth rates of the average weight distributions in the limit of large code length. We show the condition that the...

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Veröffentlicht in:IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences Communications and Computer Sciences, 2013/12/01, Vol.E96.A(12), pp.2382-2390
Hauptverfasser: NOZAKI, Takayuki, MAEHARA, Masaki, KASAI, Kenta, SAKANIWA, Kohichi
Format: Artikel
Sprache:eng
Schlagworte:
Clusters
Error correcting codes
exponential growth rate
non-binary cluster LDPC code
Symbols
weight distribution
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Zusammenfassung:This paper derives the average symbol and bit weight distributions for the irregular non-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, we give the exponential growth rates of the average weight distributions in the limit of large code length. We show the condition that the typical minimum distances linearly grow with the code length.
ISSN:0916-8508
1745-1337
DOI:10.1587/transfun.E96.A.2382