Linear network coding for two-unicast-Z networks: A commutative algebraic perspective and fundamental limits

Mohammad Fahim, Viveck R. Cadambe

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    We consider a two-unicast-Z network over a directed acyclic graph of unit capacitated edges; the two-unicast-Z network is a special case of two-unicast networks where one of the destinations has apriori side information of the unwanted (interfering) message. In this paper, we settle open questions on the limits of network coding for two-unicast-Z networks by showing that the generalized network sharing bound is not tight, vector linear codes outperform scalar linear codes, and nonlinear codes outperform linear codes in general. We also develop a commutative algebraic approach to deriving linear network coding achievability results, and demonstrate our approach by providing an alternate proof to the previous result of Wang et. al. regarding feasibility of rate (1,1) in the network.

    Original languageEnglish (US)
    Title of host publication2017 IEEE International Symposium on Information Theory, ISIT 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1177-1181
    Number of pages5
    ISBN (Electronic)9781509040964
    DOIs
    StatePublished - Aug 9 2017
    Event2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany
    Duration: Jun 25 2017Jun 30 2017

    Publication series

    NameIEEE International Symposium on Information Theory - Proceedings
    ISSN (Print)2157-8095

    Other

    Other2017 IEEE International Symposium on Information Theory, ISIT 2017
    CountryGermany
    CityAachen
    Period6/25/176/30/17

    All Science Journal Classification (ASJC) codes

    • Theoretical Computer Science
    • Information Systems
    • Modeling and Simulation
    • Applied Mathematics

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