On the Existence of Perfect Linear Codes Over Z(2 ') with Respect to Homogenous Metric

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Siap I., Ozen M., SIAP V.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.38, no.8, pp.2189-2192, 2013 (SCI-Expanded)

• 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.