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Recent advances have shown that channel codes can be mapped onto networks to realize efficient Network Coding (NC); this has led to the emergence of Code-on-Network-Graphs (CNG). Traditional CNG approaches (e.g. Decentralized Erasure Codes) focus on a generating a sequence of encoded symbols from a given input source (of size K), such that the original symbols can be recovered from any subset of the encoded symbols of size equal to or slightly larger than K. However in all cases the number of source symbols recovered falls rapidly if the number of encoded symbols received falls below K.
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