Z 2 Z 4 Z 8 -Cyclic codes


Aydoğdu İ. , Gürsoy F.

Journal of Applied Mathematics and Computing, cilt.60, ss.327-341, 2019 (SCI Expanded İndekslerine Giren Dergi) identifier identifier

  • 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
  • Sayfa Sayıları: ss.327-341

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.