On codes over product of finite chain rings

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:41 Issue:1
On codes over product of finite chain rings

On codes over product of finite chain rings

Authors : Maryam Bajalan, Rashid Rezaei, Karim Samei

Pages : 145-155

View : 40 | Download : 37

Publication Date : 2023-03-14

Article Type : Research Paper

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

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