Cassuto, Yuval and Bruck, Jehoshua (2004) Miscorrection probability beyond the minimum distance. In: International Symposium on Information Theory (ISIT 2004), Chicago IL, 27 June-2 July 2004. IEEE , Piscataway, NJ, p. 524. ISBN 0-7803-8280-3. https://resolver.caltech.edu/CaltechAUTHORS:CASisit04
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Abstract
The miscorrection probability of a list decoder is the probability that the decoder will have at least one non-causal codeword in its decoding sphere. Evaluating this probability is important when using a list-decoder as a conventional decoder since in that case we require the list to contain at most one codeword for most of the errors. A lower bound on the miscorrection is the main result. The key ingredient in the proof is a new combinatorial upper bound on the list-size for a general q−ary block code. This bound is tighter than the best known on large alphabets, and it is shown to be very close to the algebraic bound for Reed-Solomon codes. Finally we discuss two known upper bounds on the miscorrection probability and unify them for linear MDS codes.
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| Additional Information: | © Copyright 2004 IEEE. Reprinted with permission. Publication Date: 27 June-2 July 2004. Current Version Published: 2005-01-10. This work was supported in part by the Lee Center for Advanced Networking at the California Institute of Technology. | |||||||||
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| Subject Keywords: | Reed-Solomon codes; block codes; linear codes; probability; algebraic bound; combinatorial upper bound; decoding sphere; linear MDS codes; list decoder; minimum distance; miscorrection probability; noncausal codeword; q-ary block code | |||||||||
| DOI: | 10.1109/ISIT.2004.1365561 | |||||||||
| Record Number: | CaltechAUTHORS:CASisit04 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CASisit04 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 12406 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 24 Nov 2008 21:45 | |||||||||
| Last Modified: | 08 Nov 2021 22:28 |
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