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arXiv · 1305.2480

Weight Distribution for Non-binary Cluster LDPC Code Ensemble

Takayuki Nozaki·Masaki Maehara·Kenta Kasai·Kohichi Sakaniwa
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Abstract

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 $(2,d_c)$-regular non-binary cluster LDPC code ensembles whose normalized typical minimum distances are strictly positive.

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Takayuki Nozaki, Masaki Maehara, Kenta Kasai, Kohichi Sakaniwa. 2013-05-11. Weight Distribution for Non-binary Cluster LDPC Code Ensemble. https://doi.org/10.1587/transfun.e96.a.2382

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