Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings F-p+uF(p)+vF(p)

Dertli A., Cengellenmis Y.

MATHEMATICS IN COMPUTER SCIENCE, vol.14, no.2, pp.437-441, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1007/s11786-019-00426-3
  • Journal Name: MATHEMATICS IN COMPUTER SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.437-441
  • Keywords: Quantum codes, Constacyclic codes, Finite rings, CYCLIC CODES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we study the quantum codes over Fp, p is an odd prime, obtained from some constacyclic codes over the finite ring Fp+uFp+vFp, where u2=u,v2=v,uv=vu=0. A constacyclic code over the finite ring Fp+uFp+vFp is decomposed into three codes over Fpin order to determine the parameters of the corresponding quantum codes. Finally, we have constructed some examples of quantum error-correcting codes.