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On codes over product of finite chain rings.
- Source :
-
Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi . Feb2023, Vol. 41 Issue 1, p145-155. 11p. - Publication Year :
- 2023
-
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]
- Subjects :
- *FINITE rings
*PRODUCT coding
*PARITY-check matrix
*FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 13047191
- Volume :
- 41
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi
- Publication Type :
- Academic Journal
- Accession number :
- 164794971
- Full Text :
- https://doi.org/10.14744/sigma.2023.00014