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LDPC Codes Which Can Correct Three Errors Under Iterative Decoding (0801.1282v1)
Published 8 Jan 2008 in cs.IT and math.IT
Abstract: 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.