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A Fast Generalized Minimum Distance Decoder for Reed-Solomon Codes Based on the Extended Euclidean Algorithm

Information Theory 2010-09-08 v1 math.IT

Abstract

This paper presents a method to determine a set of basis polynomials from the extended Euclidean algorithm that allows Generalized Minimum Distance decoding of Reed-Solomon codes with a complexity of O(nd).

Keywords

Cite

@article{arxiv.1006.0170,
  title  = {A Fast Generalized Minimum Distance Decoder for Reed-Solomon Codes Based on the Extended Euclidean Algorithm},
  author = {Sabine Kampf and Martin Bossert},
  journal= {arXiv preprint arXiv:1006.0170},
  year   = {2010}
}

Comments

ISIT Austin 2010

R2 v1 2026-06-21T15:30:33.048Z