A Different Construction for Some Classes of Quantum MDS Codes

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Sari M., Kolotoğlu E.

MATHEMATICS IN COMPUTER SCIENCE, vol.14, pp.35-44, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2020
  • Doi Number: 10.1007/s11786-019-00418-3
  • Journal Name: MATHEMATICS IN COMPUTER SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.35-44
  • Keywords: Quantum MDS codes, Constacyclic codes, Cyclotomic cosets, CONSTACYCLIC CODES, DISTANCE
  • Yıldız Technical University Affiliated: Yes

Abstract

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.