Quaternary Quasi-Cyclic Codes with Even Length Components


Siap I. , ABUALRUB T., Aydin N.

ARS COMBINATORIA, cilt.101, ss.425-434, 2011 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 101
  • Basım Tarihi: 2011
  • Dergi Adı: ARS COMBINATORIA
  • Sayfa Sayısı: ss.425-434

Özet

In this paper, we study quaternary quasi-cyclic (QC) codes with even length components. We determine the structure of one generator quaternary QC codes whose cyclic components have even length. By making use of their structure, we establish the size of these codes and give a lower bound for minimum distance. We present some examples of codes from this family whose Gray images have the same Hamming distances as the Hamming distances of the best known binary linear codes with the given parameters. In addition, we obtain a quaternary QC code that leads to a new binary non-linear code that has parameters (96, 2(26), 28).