Sufficient Conditions for Burst Error Identification and Correction in \(LRTJ\)-Spaces

Abstract

In \([8]\), the author introduced the notion of burst errors for \(2\)-dimensional array coding systems. Also, in \([10]\), the author introduced a series of metrics called Lee-RT-Jain-Metric (LRTJ\)-metric) \([3]\) for array codes, which is a generalization of both classical Lee metric \([12]\) and array \(RT\) metric \([14]\). In this paper, we obtain sufficient conditions on the parameters of array codes equipped with \(LRTJ\)-metric for the identification and correction of burst array errors.