Journal ArticleDOI
Network information flow
TLDR
This work reveals that it is in general not optimal to regard the information to be multicast as a "fluid" which can simply be routed or replicated, and by employing coding at the nodes, which the work refers to as network coding, bandwidth can in general be saved.Abstract:
We introduce a new class of problems called network information flow which is inspired by computer network applications. Consider a point-to-point communication network on which a number of information sources are to be multicast to certain sets of destinations. We assume that the information sources are mutually independent. The problem is to characterize the admissible coding rate region. This model subsumes all previously studied models along the same line. We study the problem with one information source, and we have obtained a simple characterization of the admissible coding rate region. Our result can be regarded as the max-flow min-cut theorem for network information flow. Contrary to one's intuition, our work reveals that it is in general not optimal to regard the information to be multicast as a "fluid" which can simply be routed or replicated. Rather, by employing coding at the nodes, which we refer to as network coding, bandwidth can in general be saved. This finding may have significant impact on future design of switching systems.read more
Citations
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Journal ArticleDOI
Opportunistic use of client repeaters to improve performance of WLANs
Paramvir Bahl,Ranveer Chandra,Patrick P. C. Lee,Vishal Misra,Jitendra Padhye,Dan Rubenstein,Yan Yu +6 more
TL;DR: This work proposes SoftRepeater, a practical, deployable system in which stations cooperatively address the rate anomaly problem, and describes a novel, zero-overhead network coding scheme that further alleviates undesirable symptoms of the rate anomalies problem.
Proceedings ArticleDOI
Efficient Network Coding for Wireless Broadcasting
TL;DR: Numerical results show that the proposed network coding scheme enables higher transmission efficiencies than traditional ARQ, and previously proposed networks coding schemes for wireless broadcasting.
Proceedings ArticleDOI
Continuous Network Coding in Wireless Relay Networks
TL;DR: This paper extends the traditional network coding in lossless networks which operates on 0-1 bits, to a new framework which defines network coding on the posterior probability of each bit and enables the introduction of adaptive scheme into network coding.
Proceedings ArticleDOI
Codes for network coding
E.M. Gabidulin,Martin Bossert +1 more
TL;DR: Several classes of codes are defined and investigated in a metric for error correction in network coding, and constant-dimension codes were introduced and investigated.
Proceedings ArticleDOI
Constructing Quantum Network Coding Schemes from Classical Nonlinear Protocols
TL;DR: This paper overcome the limitation to linear protocols and describes a new communication protocol for perfect quantum network coding that improves over the previous one as follows: (i) the new protocol does not put any condition on the underlying classical coding scheme, that is, it can simulate nonlinear communication protocols as well, and (ii) the amount of classical communication sent in the protocol is significantly reduced.
References
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Book
Elements of information theory
Thomas M. Cover,Joy A. Thomas +1 more
TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
Journal ArticleDOI
Factor graphs and the sum-product algorithm
TL;DR: A generic message-passing algorithm, the sum-product algorithm, that operates in a factor graph, that computes-either exactly or approximately-various marginal functions derived from the global function.
Journal ArticleDOI
Noiseless coding of correlated information sources
David Slepian,Jack K. Wolf +1 more
TL;DR: The minimum number of bits per character R_X and R_Y needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders is determined.
Journal ArticleDOI
Linear network coding
TL;DR: This work forms this multicast problem and proves that linear coding suffices to achieve the optimum, which is the max-flow from the source to each receiving node.
Journal ArticleDOI
Achievable rates for multiple descriptions
Abbas El Gamal,Thomas M. Cover +1 more
TL;DR: These rates are shown to be optimal for deterministic distortion measures for random variables and Shannon mutual information.