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A Different Construction for Some Classes of Quantum MDS Codes

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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.

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Authors and Affiliations

  1. Department of Industrial Engineering, Doğuş University, 34722, Acıbadem, Turkey

    Mustafa Sarı

  2. Department of Mathematics, Yildiz Technical University, 34220, Esenler, Turkey

    Emre Kolotoğlu

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  1. Mustafa Sarı
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  2. Emre Kolotoğlu
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Correspondence to Mustafa Sarı.

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Sarı, M., Kolotoğlu, E. A Different Construction for Some Classes of Quantum MDS Codes. Math.Comput.Sci. 14, 35–44 (2020). https://doi.org/10.1007/s11786-019-00418-3

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  • DOI: https://doi.org/10.1007/s11786-019-00418-3

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