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arXiv · 0801.1276

On the guaranteed error correction capability of LDPC codes

Shashi Kiran Chilappagari·Dung Viet Nguyen·Bane Vasic·Michael Marcellin
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Abstract

We investigate the relation between the girth and the guaranteed error correction capability of $\gamma$-left regular LDPC codes when decoded using the bit flipping (serial and parallel) algorithms. A lower bound on the number of variable nodes which expand by a factor of at least $3 \gamma/4$ is found based on the Moore bound. An upper bound on the guaranteed correction capability is established by studying the sizes of smallest possible trapping sets.

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Shashi Kiran Chilappagari, Dung Viet Nguyen, Bane Vasic, Michael Marcellin. 2008-01-08. On the guaranteed error correction capability of LDPC codes. https://doi.org/10.1109/isit.2008.4595023

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