A behavioral approach to list decoding

نویسندگان

  • Margreta Kuijper
  • Jan Willem Polderman
چکیده

List decoding may be translated into a bivariate interpolation problem. The interpolation problem is to find a bivariate polynomial of minimal weighted degree that interpolates a given set of pairs taken from a finite field. We present a behavioral approach to this interpolation problem. With the data points we associate a set of trajectories. For this set of trajectories we construct the Most Powerful Unfalsified Model. The bivariate polynomial is then derived from a specific representation of the MPUM.

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تاریخ انتشار 2002