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MDS array codes for correcting a single criss-cross error

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2 Author(s)
Blaum, M. ; Div. of Res., IBM Almaden Res. Center, San Jose, CA, USA ; Bruck, J.

We present a family of maximum-distance separable (MDS) array codes of size (p-1)×(p-1), p a prime number, and minimum criss-cross distance 3, i.e., the code is capable of correcting any row or column in error, without a priori knowledge of what type of error occurred. The complexity of the encoding and decoding algorithms is lower than that of known codes with the same error-correcting power, since our algorithms are based on exclusive-OR operations over lines of different slopes, as opposed to algebraic operations over a finite field. We also provide efficient encoding and decoding algorithms for errors and erasures

Published in:

Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 3 )

Date of Publication:

May 2000

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