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Multiple Phased-Burst Correcting Superposition Product LDPC Codes

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Executive Summary

In this paper, a class of product codes based on Low-Density Parity Check (LDPC) constituent codes are constructed for Multiple Phased-Burst Erasure Correction (MPBEC). These codes are shown to correct one large burst and/or a number of shorter bursts. A simple novel recursive erasure correction algorithm is proposed based on a recently discovered zero-span approach to linear block code analysis that can produce very powerful MPBEC capabilities. Analysis and data on how these codes work for Additive White Gaussian Noise (AWGN) channel are also presented.

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