Bibliographic Details
| Title: |
On codes over product of finite chain rings. |
| Authors: |
BAJALAN, Maryam1, REZAEI, Rashid1 ras_rezaei@yahoo.com, SAMEI, Karim2 |
| Source: |
Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi. Feb2023, Vol. 41 Issue 1, p145-155. 11p. |
| Subjects: |
Finite rings, Product coding, Parity-check matrix, Finite fields |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
