arXiv:1305.2480 · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Weight Distribution for Non-binary Cluster LDPC Code Ensemble
T. Nozaki, Masaki Maehara, Kenta Kasai, Kohichi Sakaniwa
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.