QUANTUM CODES FROM CYCLIC CODES OVER THE F-q

Tetik C., Dertli A.

JOURNAL OF SCIENCE AND ARTS, sa.3, ss.611-616, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.46939/j.sci.arts-21.3-a01
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.611-616
  • Anahtar Kelimeler: quantum codes, cyclic codes, gray map
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we give construction of quantum codes over F-q from cyclic codes over the F-q + uF(q) + vF(q) + wF(q) + uvF(q), where u(2) = u, v(2) = v, w(2) = w, uv = uv, uw = wu = vw = wv = 0, q = p(m) and p is an odd prime. We determine the parameters of quantum error correcting codes which constructed from cyclic codes over the F-q + uF(q) + vF(q) + wF(q) +uvF(q). Finally, we give some examples of quantum codes.