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Reed-Solomon list decoding from a system-theoretic perspective

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2 Author(s)
Kuijper, M. ; Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Australia ; Polderman, J.W.

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.

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Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 2 )