Z 2 Z 4 Z 8 -Cyclic codes
Journal of Applied Mathematics and Computing, cilt.60, ss.327-341, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 60
- Basım Tarihi: 2019
- Doi Numarası: 10.1007/s12190-018-01216-z
- Dergi Adı: Journal of Applied Mathematics and Computing
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.327-341
- Anahtar Kelimeler: Generator matrix, Parity-check matrix, Cyclic codes, Z(2)Z(4)Z(8)-additive codes
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
© 2018, Korean Society for Computational and Applied Mathematics. In this paper we study Z 2 Z 4 Z 8 -additive codes, which are extensions of recently introduced Z 2 Z 4 -additive codes. We determine the standard forms of the generator and parity-check matrices of Z 2 Z 4 Z 8 -additive codes. Moreover, we investigate Z 2 Z 4 Z 8 -cyclic codes and give their generator polynomials and spanning sets. We also give some illustrative examples of both Z 2 Z 4 Z 8 -additive codes and Z 2 Z 4 Z 8 -cyclic codes.