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Using codes for error correction and detection (Corresp.)

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1 Author(s)

A linear codeCover GF(q)is good fort-error-correction and error detection ifP(C,t;epsilon) leq P(C,t;(q - 1)/q)for allepsilon, 0 leq epsilon leq (q - 1)/q, whereP(C, t; epsilon)is the probability of an undetected error after a codeword inCis transmitted over aq-ary symmetric channel with error probabilityepsilonand correction is performed for all error patterns withtor fewer errors. A sufficient condition for a code to be good is derived. This sufficient condition is easy to check, and examples to illustrate the method are given.

Published in:

Information Theory, IEEE Transactions on  (Volume:30 ,  Issue: 6 )

Date of Publication:

Nov 1984

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