Weight distribution for non-binary cluster LDPC code ensemble

Nozaki, T., Maehara, M.,Kasai, K.,Sakaniwa, K.

Information Theory Proceedings（2013）

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摘要

In this paper, we derive the average weight distributions for the irregular non-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, we give the exponential growth rate of the average weight distribution in the limit of large code length. We show that there exist (2, dc)-regular non-binary cluster LDPC code ensembles whose normalized typical minimum distances are strictly positive.

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关键词

parity check codes,low-density parity-check code,nonbinary cluster LDPC code,weight distribution,

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