On quantum codes obtained from cyclic codes over A(2)

Dertli A., ÇENGELLENMİŞ Y., Eren Ş.

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, cilt.13, sa.3, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s0219749915500318
  • Dergi Adı: INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Quantum codes, cyclic codes, finite rings
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, quantum codes from cyclic codes over A(2) = F-2 + uF(2) + vF(2) + uvF(2), u(2) = u, v(2) = v, uv = vu, for arbitrary length n have been constructed. It is shown that if C is self orthogonal over A(2), then so is Psi(C), where Psi is a Gray map. A necessary and sufficient condition for cyclic codes over A(2) that contains its dual has also been given. Finally, the parameters of quantum error correcting codes are obtained from cyclic codes over A(2).