The Quantum Codes over Fq and Quantum Quasi-cyclic Codes over Fp

ÇENGELLENMİŞ Y., DERTLİ A.

Mathematical Sciences and Applications E-Notes, vol.7, no.1, pp.87-93, 2019 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1
  • Publication Date: 2019
  • Journal Name: Mathematical Sciences and Applications E-Notes
  • Journal Indexes: TR DİZİN (ULAKBİM)
  • Page Numbers: pp.87-93
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, the quantum codes over Fq are constructed by using the cyclic codes over the finite ringR = Fq + vFq + ... + vm−1Fq, where p is prime, q = ps, m − 1|p − 1 and vm = v. The parameters ofquantum error correcting codes over Fq are obtained. Some examples are given. Morever, the quantumquasi-cyclic codes over Fp are obtained, by using the self dual basis for Fps over Fp.