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MDS array codes for correcting a single criss-cross error

机译:MDS阵列代码,用于校正单个纵横交错误差

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摘要

We present a family of maximum-distance separable (MDS) array codes of size (p-1)/spl times/(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.
机译:我们提出了一系列最大距离可分离(MDS)阵列代码,其大小为(p-1)/ spl次/(p-1),pa质数和最小纵横交错距离3,即该代码能够更正任何错误的行或列,而无需先验知道发生哪种类型的错误。编码和解码算法的复杂度低于具有相同纠错能力的已知代码,因为我们的算法基于不同斜率线上的异或运算,而不是有限域上的代数运算。我们还提供有效的编码和解码算法,以解决错误和删除问题。

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