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A Weight-Based Characterization of the Set of Correctable Error patterns Under List-of-2 Decoding
Linköping University, Department of Electrical Engineering. Linköping University, The Institute of Technology. (Datatransmission)
2007 (English)Report (Other academic)
Abstract [en]

List decoding of block codes is an alternative approach to the decoding problem with appealing qualities. The fairly recent development of efficient algorithms for list decoding of Reed-Solomon codes spur new fuel to the study of this decoding strategy. In this paper we give a weight-based characterization of the set of correctable error patterns under list-of-2 decoding of (tau, 2)-list-decodable linear codes with known weight distribution. We apply our characterization of the set of correctable error patterns to a few codes in a family of low-rate list-of-2 decodable Reed-Solomon codes. We study the increase in error-correction performance obtained in a symmetric AWGN channel by using list-of-2 decoding instead of traditional decoding for these codes. Some simulation results for list-of-2 decoding on QAM channels using the Guruswami-Sudan algorithm for decoding of Reed-Solomon codes are also presented.

Place, publisher, year, edition, pages
Institutionen för Systemteknik, Linköpings Universitet. , 2007.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2777
Keyword [en]
COMPUTER SCIENCE, THEORY & METHODS, MATHEMATICS, APPLIED
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-57879ISRN: LiTH-ISY-R-2777OAI: oai:DiVA.org:liu-57879DiVA: diva2:328218
Available from: 2010-07-02 Created: 2010-07-02 Last updated: 2014-06-18Bibliographically approved

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Eriksson, Jonas

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Citation style
  • apa
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  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • text
  • asciidoc
  • rtf