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

Siap I., Ozen M., SIAP V.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.38, sa.8, ss.2189-2192, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 8
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s13369-013-0564-7
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2189-2192
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.