Abstract

This study investigates codes in the term-rank metric. These codes can be used to correct crisscross errors in a ( M × N ) matrix. These errors can be found in memory chip arrays, in magnetic tape recordings, or in the parallel-channel system with interference. In this study, the authors will build an algorithm for computing term-rank of a matrix and new construction of term-rank codes. Single error-correcting codes in the term-rank metric are considered and help us build a generator matrix and parity-check matrix for term-rank codes. Research results derived from this study show that the term-rank metric is suitable for correcting crisscross errors.

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