A Different Construction for Some Classes of Quantum MDS Codes

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Sari M., Kolotoğlu E.

MATHEMATICS IN COMPUTER SCIENCE, cilt.14, ss.35-44, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11786-019-00418-3
  • Dergi Adı: MATHEMATICS IN COMPUTER SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.35-44
  • Anahtar Kelimeler: Quantum MDS codes, Constacyclic codes, Cyclotomic cosets, CONSTACYCLIC CODES, DISTANCE
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Constructing quantum codes with large minimum distance plays a significant role in quantum computation and communication. Quantum maximum-distance separable (MDS) codes have important place among quantum codes since they are optimal with regard to the maximality of their minimum distances. In this paper, by making use of constacyclic codes over and Hermitian construction for quantum codes, we give different constructions for some classes of quantum MDS codes.