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Title: A random linear network coding approach to multicast
Authors: Ho, T.
Médard, M.
Koetter, R.
Karger, D.R.
Effros, M.
Shi, J.
Leong, B. 
Keywords: Distributed compression
Distributed networking
Network coding
Random linear coding
Issue Date: 2006
Source: Ho, T., Médard, M., Koetter, R., Karger, D.R., Effros, M., Shi, J., Leong, B. (2006). A random linear network coding approach to multicast. IEEE Transactions on Information Theory 52 (10) : 4413-4430. ScholarBank@NUS Repository.
Abstract: We present a distributed random linear network coding approach for transmission and compression of information in general multisource multicast networks. Network nodes independently and randomly select linear mappings from inputs onto output links over some field. We show that this achieves capacity with probability exponentially approaching 1 with the code length. We also demonstrate that random linear coding performs compression when necessary in a network, generalizing error exponents for linear Slepian-Wolf coding in a natural way. Benefits of this approach are decentralized operation and robustness to network changes or link failures. We show that this approach can take advantage of redundant network capacity for improved success probability and robustness. We illustrate some potential advantages of random linear network coding over routing in two examples of practical scenarios: distributed network operation and networks with dynamically varying connections. Our derivation of these results also yields a new bound on required field size for centralized network coding on general multicast networks. © 2006 IEEE.
Source Title: IEEE Transactions on Information Theory
ISSN: 00189448
DOI: 10.1109/TIT.2006.881746
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