On codes over product of finite chain rings

Year 2023, Volume: 41 Issue: 1, 145 - 155, 14.03.2023

Maryam Bajalan Rashid Rezaeı Karim Sameı

Abstract

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

References

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