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Designs, Codes and Cryptography
Erschienen in: Designs, Codes and Cryptography 3/2017

05.07.2016

Quantum MDS codes with large minimum distance

verfasst von: Tao Zhang, Gennian Ge

Erschienen in: Designs, Codes and Cryptography | Ausgabe 3/2017

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Abstract

Quantum MDS codes are an important family of quantum codes. In this paper, using generalized Reed–Solomon codes and Hermitian construction, we construct seven classes of quantum MDS codes. All of them provide large minimum distance and most of them are new in the sense that the parameters of quantum codes are different from all the previously known ones.
Vorheriger Artikel Simple t-designs: a recursive construction for arbitrary t
Nächster Artikel An optimal representation for the trace zero subgroup
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Metadaten
Titel
Quantum MDS codes with large minimum distance
verfasst von
Tao Zhang
Gennian Ge
Publikationsdatum
05.07.2016
Verlag
Springer US
Erschienen in
Designs, Codes and Cryptography / Ausgabe 3/2017
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-016-0245-0

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