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Design of Convergence-Optimized Non-Binary LDPC Codes Over Binary Erasure Channel

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Executive Summary

The erasure channel describes a common phenomenon in some communication and storage systems: a symbol transmitted over this channel is either received or erased with certain probability. Since there is no method to guarantee the accuracy of the raw data transmitted over this channel, one of the most important methods is to use Forward Error-Correcting (FEC) codes, among which LDPC codes have been shown of great potential in approaching the theoretical error correction limits,. More importantly, the threshold-predicting procedure for the coded bits transmitted over the erasure channel can be easily exploited to predict the (approximated) performance-threshold for other channels as well, such as AWGN channels, binary symmetric channels et al.

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