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arXiv · 0810.1105

Low-Density Parity-Check Codes Which Can Correct Three Errors Under Iterative Decoding

Shashi Kiran Chilappagari·Anantha Raman Krishnan·Bane Vasic·Michael W. Marcellin
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Abstract

In this paper, we give necessary and sufficient conditions for low-density parity-check (LDPC) codes with column-weight three to correct three errors when decoded using hard-decision message-passing decoding. Additionally, we give necessary and sufficient conditions for column-weight-four codes to correct three errors in four iterations of hard-decision message-passing decoding. We then give a construction technique which results in codes satisfying these conditions. We also provide numerical assessment of code performance via simulation results.

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Shashi Kiran Chilappagari, Anantha Raman Krishnan, Bane Vasic, Michael W. Marcellin. 2008-10-07. Low-Density Parity-Check Codes Which Can Correct Three Errors Under Iterative Decoding. https://arxiv.org/abs/0810.1105

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