On the codes over the ring

Dertli A., ÇENGELLENMİŞ Y.

Proceedings of the Jangjeon Mathematical Society, cilt.15, sa.2, ss.183-187, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2012
  • Dergi Adı: Proceedings of the Jangjeon Mathematical Society
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.183-187
  • Anahtar Kelimeler: Gray map, Lee weight, Self dual code, The codes over the ring
  • Trakya Üniversitesi Adresli: Evet

Özet

In this paper, we construct the ring M 2 = F 2 + u 1F 2 + u 2F 2 U 1U 2F 2, where u 2 = 1, u 22 = 1,u 1 u 2 =. Firstly, we investigate the structure of the ring. Then we describe two Gray maps which are shown to be equivalent and it is obtained that C is the Gray image of a linear code over M 2 if and only if C is invariant under the permutation group K 4 = {1,α,ß, αß}. Morever we investigate Euclidean self dual codes over M 2.