On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC Ensembles |
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Authors: | Rathi V |
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Affiliation: | Commun. Theor. Lab., Ecole Polytech. Fed. de Lausanne; |
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Abstract: | In this correspondence, we estimate the variance of weight and stopping set distribution of regular low-density parity-check (LDPC) ensembles. Using this estimate and the second moment method we obtain bounds on the probability that a randomly chosen code from regular LDPC ensemble has its weight distribution and stopping set distribution close to respective ensemble averages. We are able to show that a large fraction of total number of codes have their weight and stopping set distribution close to the average |
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