On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC Ensembles
classification
💻 cs.IT
math.IT
keywords
distributionstoppingweightldpcregularcloseensembleensembles
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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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