Array codes for correction of criss-cross errors

Abstract

We present MDS array codes of size (p-1)×(p-1), p is a prime number, that can correct any row or column in error without a priori knowledge of what type of error that has 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. © 1997 IEEE.