On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC Ensembles

Vishwambhar Rathi

doi:10.1109/tit.2006.880065

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On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC Ensembles

Vishwambhar Rathi

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Abstract

We estimate the variance of weight and stopping set distribution of regular 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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Vishwambhar Rathi. 2005-12-15. On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC Ensembles. https://doi.org/10.1109/tit.2006.880065

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