QUANTUM CODES FROM CYCLIC CODES OVER THE F-q

Tetik C., Dertli A.

JOURNAL OF SCIENCE AND ARTS, no.3, pp.611-616, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.46939/j.sci.arts-21.3-a01
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.611-616
  • Keywords: quantum codes, cyclic codes, gray map
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.