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A weight-based characterization of the set of correctable error patterns under list-of-2 decoding
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
2007 (English)In: ADVANCES IN MATHEMATICS OF COMMUNICATIONS, ISSN 1930-5346, Vol. 1, no 3, 331-356 p.Article in journal (Refereed) Published
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
2007. Vol. 1, no 3, 331-356 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47978OAI: oai:DiVA.org:liu-47978DiVA: diva2:268874
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-11

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Eriksson, Jonas

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