LDPC Codes Which Can Correct Three Errors Under Iterative Decoding

Computer Science – Information Theory

Scientific paper

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5 pages, 3 figures, submitted to IEEE Information Theory Workshop (ITW), 2008

Scientific paper

In this paper, we provide necessary and sufficient conditions for a
column-weight-three LDPC code to correct three errors when decoded using
Gallager A algorithm. We then provide a construction technique which results in
a code satisfying the above conditions. We also provide numerical assessment of
code performance via simulation results.

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