Weight Distribution for Non-binary Cluster LDPC Code Ensemble

Takayuki NOZAKI; Masaki MAEHARA; Kenta KASAI; Kohichi SAKANIWA

doi:10.1587/transfun.E96.A.2382

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Special Section on Information Theory and Its Applications

Weight Distribution for Non-binary Cluster LDPC Code Ensemble

Takayuki NOZAKI, Masaki MAEHARA, Kenta KASAI, Kohichi SAKANIWA

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Keywords: non-binary cluster LDPC code, weight distribution, exponential growth rate

JOURNAL RESTRICTED ACCESS

2013 Volume E96.A Issue 12 Pages 2382-2390

DOI https://doi.org/10.1587/transfun.E96.A.2382

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Abstract

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.

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