On quantum codes obtained from cyclic codes over A2

Dertli A., ÇENGELLENMİŞ Y., Eren S.

International Journal of Quantum Information, cilt.13, sa.3, 2015 (SCI-Expanded, Scopus) 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: cyclic codes, finite rings, Quantum codes
  • Trakya Üniversitesi Adresli: Evet

Özet

In this paper, quantum codes from cyclic codes over A2 = F2 + uF2 + vF2 + uvF2, u2 = u, v2 = v, uv = vu, for arbitrary length n have been constructed. It is shown that if C is self orthogonal over A2, then so is ψ(C), where ψ is a Gray map. A necessary and sufficient condition for cyclic codes over A2 that contains its dual has also been given. Finally, the parameters of quantum error correcting codes are obtained from cyclic codes over A2.