On the Existence of Perfect Linear Codes Over Z(2 ') with Respect to Homogenous Metric
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.38, no.8, pp.2189-2192, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 38 Issue: 8
- Publication Date: 2013
- Doi Number: 10.1007/s13369-013-0564-7
- Journal Name: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2189-2192
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, we obtain bounds for error correcting codes of some particular homogeneous weights over the ring of integers modulo . We also study these bounds to check for perfect linear codes and have shown the non-existence of one error correcting perfect codes with respect to the homogeneous weight.