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Weight Distribution of Low-Density Parity-Check Codes

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3 Author(s)
C. Di ; Swiss Fed. Inst. of Technol., Lausanne ; T. J. Richardson ; R. L. Urbanke

We derive the average weight distribution function and its asymptotic growth rate for low-density parity-check (LDPC) code ensembles. We show that the growth rate of the minimum distance of LDPC codes depends only on the degree distribution pair. It turns out that capacity-achieving sequences of standard (unstructured) LDPC codes under iterative decoding over the binary erasure channel (BEC) known to date have sublinearly growing minimum distance in the block length

Published in:

IEEE Transactions on Information Theory  (Volume:52 ,  Issue: 11 )