Linear-Algebraic List Decoding of Folded Reed-Solomon Codes

@article{Guruswami2011LinearAlgebraicLD,
  title={Linear-Algebraic List Decoding of Folded Reed-Solomon Codes},
  author={Venkatesan Guruswami},
  journal={2011 IEEE 26th Annual Conference on Computational Complexity},
  year={2011},
  pages={77-85}
}
Folded Reed-Solomon codes are an explicit family of codes that achieve the optimal trade-off between rate and error-correction capability: specifically, for any " > 0, the author and Rudra (2006, 08) presented an nO(1=") time algorithm to list decode appropriate folded RS codes of rate R from a fraction 1--R--e" of errors. The algorithm is based on multivariate polynomial interpolation and root-finding over extension fields. It was noted by Vadhan that interpolating a linear polynomial suffices… CONTINUE READING
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Explicit codes achieving list decoding capacity: Error-correction up to the Singleton bound

  • V. Guruswami, A. Rudra
  • IEEE Transactions on Information Theory, vol. 54…
  • 2008
Highly Influential
8 Excerpts

Interpolation and list decoding of algebraic codes

  • K. Brander
  • Ph.D. dissertation, Technical University of…
  • 2010
2 Excerpts

List decoding Folded Reed-Solomon codes

  • V. Guruswami
  • 2010, lecture notes, http://www.cs.cmu.edu…
  • 2010
2 Excerpts

Decoding Folded Reed-Solomon codes using Hensel-lifting

  • P. Beelen, K. Brander
  • Gröbner Bases, Coding, and Cryptography. Springer…
  • 2009
1 Excerpt

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