A Deterministic Polynomial-Time Algorithm for Constructing a Multicast Coding Scheme for Linear Deterministic Relay Networks

We propose a new way to construct a multicast coding scheme for linear deterministic relay networks. Our construction can be regarded as a generalization of the well-known multicast network coding scheme of Jaggi to linear deterministic relay networks and is based on the notion of flow for a unicast...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 59; no. 11; pp. 7541 - 7552
Main Authors: Tabatabaei Yazdi, S. M. Sadegh, Savari, Serap A.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.11.2013
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:We propose a new way to construct a multicast coding scheme for linear deterministic relay networks. Our construction can be regarded as a generalization of the well-known multicast network coding scheme of Jaggi to linear deterministic relay networks and is based on the notion of flow for a unicast session that was introduced by the authors in earlier work. We present randomized and deterministic polynomial-time versions of our algorithm and show that for a network with g destinations, our deterministic algorithm can achieve the capacity in [log(g+1)] uses of the network and has the fastest construction time among algorithms for this problem.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2013.2273793