Title :
On the Asymptotic Weight and Stopping Set Distribution of Regular LDPC Ensembles
Author :
Rathi, Vishwambhar
Author_Institution :
Commun. Theor. Lab., Ecole Polytech. Fed. de Lausanne
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
Keywords :
method of moments; parity check codes; probability; random codes; asymptotic weight distribution; low-density parity-check code; moment method; probability; random code; regular LDPC ensemble; stopping set distribution; Australia; Distributed computing; Distribution functions; Equations; Error correction codes; Information theory; Moment methods; Parity check codes; Physics computing; Polynomials; Low-density parity-check (LDPC) codes; second moment method; stopping set distribution; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.880065
