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A Different Construction for Some Classes of Quantum MDS Codes

  • Mustafa SarıEmail author
  • Emre Kolotoğlu
Article
  • 27 Downloads

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 \(F_{q^2}\) and Hermitian construction for quantum codes, we give different constructions for some classes of quantum MDS codes.

Keywords

Quantum MDS codes Constacyclic codes Cyclotomic cosets 

Mathematics Subject Classification

94B05 94B15 81P70 81P45 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Industrial EngineeringDoğuş UniversityAcıbademTurkey
  2. 2.Department of MathematicsYildiz Technical UniversityEsenlerTurkey

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