Reed-Solomon list decoding from a system theoretic perspective

Margreta Kuijper, Jan W. Polderman

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    Abstract

    In this paper, the Sudan-Guruswami approach to list decoding of Reed-Solomon (RS) codes is cast in a system-theoretic framework. With the data, a set of trajectories or time series is associated which is then modeled as a so-called behavior. In this way, a connection is made with the behavioral approach to system theory. It is shown how a polynomial representation of the modeling behavior gives rise to the bivariate interpolating polynomials of the Sudan-Guruswami approach. The concept of "weighted row reduced" is introduced and used to achieve minimality. Two decoding methods are derived and a parametrization of all bivariate interpolating polynomials is given.
    Original languageUndefined
    Pages (from-to)259-271
    Number of pages13
    JournalIEEE transactions on information theory
    Volume50
    DOIs
    Publication statusPublished - 2004

    Keywords

    • METIS-218563
    • IR-47720

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