Codes in the term rank metric

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This paper investigates codes with term rank distance. These codes can be used to correct row and column errors in the (M × N ) matrix. These errors can be found in memorychip arrays, magnetic tape recordings or in the parallel channel system with interference. In this paper, we discuss the new construction of boundary rank codes. This paper describes the single error correcting codes in the term rank metric and create a generator matrix and a parity check matrix for term rank codes.

Term rank metric, parallel channel system, term rank distance, finite field, binary matrix, parity check matrix, generator matrix

Короткий адрес: https://sciup.org/142220491

IDR: 142220491

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