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On the decoder error probability for Reed-Solomon codes

McEliece, Robert J. and Swanson, Laif (1986) On the decoder error probability for Reed-Solomon codes. IEEE Transactions on Information Theory, 32 (5). pp. 701-703. ISSN 0018-9448. http://resolver.caltech.edu/CaltechAUTHORS:MCEieeetit86b

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Abstract

Upper bounds On the decoder error probability for Reed-Solomon codes are derived. By definition, "decoder error" occurs when the decoder finds a codeword other than the transitted codeword; this is in contrast to "decoder failure," which occurs when the decoder fails to find any codeword at all. These results imply, for example, that for a t error-correcting Reed-Solomon code of length q - 1 over GF(q), if more than t errors occur, the probability of decoder error is less than 1/t!.


Item Type:Article
Additional Information:© Copyright 1986 IEEE. Reprinted with permission. Manuscript received October 22, 1985; revised January 3, 1986. Part of this work was presented at the IEEE International Symposium on Information Theory, Brighton, England, June 1985. This work was supported by the National Aeronautics and Space Administration under contract NAS7-918. R.J. McEliece’s contribution was also supported by a grant from IBM.
Record Number:CaltechAUTHORS:MCEieeetit86b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MCEieeetit86b
Alternative URL:http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=22756&arnumber=1057212&count=18&index=0
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ID Code:6928
Collection:CaltechAUTHORS
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Deposited On:03 Jan 2007
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