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

ÇENGELLENMİŞ Y., DERTLİ A.

Mathematical Sciences and Applications E-Notes, cilt.7, sa.1, ss.87-93, 2019 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: Mathematical Sciences and Applications E-Notes
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.87-93
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.