A relation between hadamard codes and some special codes over F2+uF2
Applied Mathematics and Information Sciences, cilt.10, sa.2, ss.701-704, 2016 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.18576/amis/100229
- Dergi Adı: Applied Mathematics and Information Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.701-704
- Anahtar Kelimeler: Codes over rings, Hadamard codes, Linear codes
- Trakya Üniversitesi Adresli: Evet
Özet
Abstract: A Hadamard code which is written via a Hadamard matrix is (2n,4n,n) code. In this study some special codes over F2+uF2 = (0, 1, u, 1+u) where u2 = 0 are written and it is shown that images of these codes under a Gray map correspond binary Hadamard codes.