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    A Linear Network Code Construction for General Integer Connections Based on the Constraint Satisfaction Problem

    Cui, Ying and Medard, Muriel and Yeh, Edmund and Leith, Douglas J. and Duffy, Ken R. (2015) A Linear Network Code Construction for General Integer Connections Based on the Constraint Satisfaction Problem. Proceeding of Global Communications Conference (GLOBECOM).

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    The problem of finding network codes for general connections is inherently difficult. Resource minimization for general connections with network coding is further complicated. The existing solutions mainly rely on very restricted classes of network codes, and are almost all centralized. In this paper, we introduce linear network mixing coefficients for code constructions of general connections that generalize random linear network coding (RLNC) for multicast connections. For such code constructions, we pose the problem of cost minimization for the subgraph involved in the coding solution and relate this minimization to a Constraint Satisfaction Problem (CSP) which we show can be simplified to have a moderate number of constraints. While CSPs are NP-complete in general, we present a probabilistic distributed algorithm with almost sure convergence in finite time by applying Communication Free Learning (CFL). Our approach allows fairly general coding across flows, guarantees no greater cost than routing, and shows a possible distributed implementation.

    Item Type: Article
    Keywords: Linear Network Code Construction; General Integer Connections; Constraint Satisfaction Problem; Information Theory;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 6350
    Depositing User: Dr Ken Duffy
    Date Deposited: 15 Sep 2015 11:26
    Journal or Publication Title: Proceeding of Global Communications Conference (GLOBECOM)
    Publisher: Institute of Electrical and Electronics Engineers (IEEE)
    Refereed: Yes

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