Generalized Sudan’s List Decoding for Order Domain Codes

  • Olav Geil
  • Ryutaroh Matsumoto
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4851)


We generalize Sudan’s list decoding algorithm without multiplicity to evaluation codes coming from arbitrary order domains. The number of correctable errors by the proposed method is larger than the original list decoding without multiplicity.


Evaluation Code Decode Algorithm Reed Solomon Code Code Construction Goppa Code 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Olav Geil
    • 1
  • Ryutaroh Matsumoto
    • 2
  1. 1.Department of Mathematical Sciences, Aalborg UniversityDenmark
  2. 2.Department of Communications and Integrated Systems, Tokyo Institute of TechnologyJapan

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