Maryam BAJALAN, Rashid REZAEI, Karim SAMEI

On codes over product of finite chain rings

In this paper, codes over the direct product of two finite commutative chain rings are studied. The standard form of the parity-check matrix is determined. The structure of self-dual codes is described. A distance preserving Gray map from the direct product of chain rings to a finite field is defined. Two upper bounds on minimum distance are obtained.

Keywords:

MDS Codes, Self-Dual Codes, Chain Rings,

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