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Necessary and sufficient conditions on block codes correcting/detecting errors of various types

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3 Author(s)
Weber, J.H. ; Delft Univ. of Technol., Netherlands ; de Vroedt, C. ; Boekee, D.E.

Necessary and sufficient conditions are given for block codes to be capable of correcting up to t1 symmetric errors, up to t2 unidirectional errors, and up to t 3 asymmetric errors, as well as detecting from t1+1 up to d1 symmetric errors that are not of the unidirectional type, from t2+1 up to d2 unidirectional errors that are not of the asymmetric type, and from t3+1 up to d3 asymmetric errors. Many known conditions on block codes concerning error correction and/or detection appear as special cases of this general result. Further, some codes turn out to have stronger error correcting/detection capabilities than they were originally designed for

Published in:

Computers, IEEE Transactions on  (Volume:41 ,  Issue: 9 )