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Weight Distribution for Non-binary Cluster LDPC Code Ensemble (1305.2480v2)
Published 11 May 2013 in cs.IT and math.IT
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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