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In this paper, we derive the average weight distributions for the irregularnon-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, wegive the exponential growth rate of the average weight distribution in thelimit of large code length. We show that there exist $(2,d_c)$-regularnon-binary cluster LDPC code ensembles whose normalized typical minimumdistances are strictly positive.

ieice transactions on fundamentals of electronics, communications and computer sciences/ieice transactions on fundamentals of electronics, communications and computer science

Weight Distribution for Non-binary Cluster LDPC Code Ensemble