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On the decoder error probability for Reed - Solomon codes (Corresp.)

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2 Author(s)

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! .

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Information Theory, IEEE Transactions on  (Volume:32 ,  Issue: 5 )