Interpolation in list decoding of Reed-Solomon codes

  • Authors:

  • P. V. Trifonov

  • Affiliations:

  • St. Petersburg State Polytechnic University, Russia

  • Venue:
  • Problems of Information Transmission
  • Year:
  • 2007

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Abstract

We consider the problem of efficient implementation of two-dimensional interpolation in the Guruswami-Sudan list decoding algorithm for Reed-Solomon codes. We show that it can be implemented by computing the product of ideals of interpolation polynomials constructed for subsets of interpolation points. A method for fast multiplication of coprime zero-dimensional ideals is proposed.