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Erschienen in: Designs, Codes and Cryptography 1/2017

05.11.2016

On the construction of quantum constacyclic codes

verfasst von: Jian Yuan, Shixin Zhu, Xiaoshan Kai, Ping Li

Erschienen in: Designs, Codes and Cryptography | Ausgabe 1/2017

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Abstract

Let q be a prime power and \(m\ge 2\) an integer. In this paper, based on classical \(q^{2}\)-ary constacyclic codes, we apply the Hermitian construction to obtain several classes of q-ary quantum stabilizer codes of length \((q^{2m}-1)/(q+1)\). These quantum codes have parameters better than those obtained from classical BCH codes.
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Metadaten
Titel
On the construction of quantum constacyclic codes
verfasst von
Jian Yuan
Shixin Zhu
Xiaoshan Kai
Ping Li
Publikationsdatum
05.11.2016
Verlag
Springer US
Erschienen in
Designs, Codes and Cryptography / Ausgabe 1/2017
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-016-0296-2

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