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.
@article{arxiv.1305.2480,
title = {Weight Distribution for Non-binary Cluster LDPC Code Ensemble},
author = {Takayuki Nozaki and Masaki Maehara and Kenta Kasai and Kohichi Sakaniwa},
journal= {arXiv preprint arXiv:1305.2480},
year = {2015}
}
Comments
12pages, 6 figures, To be presented in ISIT2013, Submitted to IEICE Trans. Fundamentals