New MDS Symbol-Pair Codes from Repeated-Root Cyclic Codes over Finite Fields

10/09/2020

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by   Junru Ma, et al.

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Symbol-pair codes are introduced to guard against pair-errors in symbol-pair read channels. One main task in symbol-pair coding theory is to design codes with large minimum symbol-pair distance. Maximum distance separable ( MDS ) symbol-pair codes are optimal in the sense that such codes attain the Singleton bound. In this paper, three new classes of MDS symbol-pair codes with minimum symbol-pair distance seven or eight are proposed by virtue of repeated-root cyclic codes. The main results are obtained by determining the solutions of certain equations over finite fields.