- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Cilt: 41 Sayı: 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 : 15 | Download : 23
Publication Date : 2023-03-14
Article Type : Research
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