On cyclic codes and cyclic lcd codes from the family of group rings Z4Cn


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Köroğlu M. E. , Ersoy B. A.

Sigma Journal of Engineering and Natural Sciences, cilt.37, ss.541-549, 2019 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 37 Konu: 2
  • Basım Tarihi: 2019
  • Dergi Adı: Sigma Journal of Engineering and Natural Sciences
  • Sayfa Sayısı: ss.541-549

Özet

In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine
the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no nonfree
cyclic LCD ℤ4 codes.