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Designs, Codes and Cryptography
Erschienen in: Designs, Codes and Cryptography 10/2018

24.11.2017

A class of negacyclic BCH codes and its application to quantum codes

verfasst von: Shixin Zhu, Zhonghua Sun, Ping Li

Erschienen in: Designs, Codes and Cryptography | Ausgabe 10/2018

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Abstract

In this paper, we study negacyclic BCH codes over \(\mathbb {F}_{q}\) of length \(n=(q^{2m}-1)/(q-1)\), where q is an odd prime power and m is a positive integer. In particular, the dimension, the minimum distance and the weight distribution of some negacyclic BCH codes over \(\mathbb {F}_{q}\) of length \(n=(q^{2m}-1)/(q-1)\) are determined. Two classes of negacyclic BCH codes meeting the Griesmer bound are obtained. As an application, we construct quantum codes with good parameters from this class of negacyclic BCH codes.
Nächster Artikel Linear codes from simplicial complexes
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Metadaten
Titel
A class of negacyclic BCH codes and its application to quantum codes
verfasst von
Shixin Zhu
Zhonghua Sun
Ping Li
Publikationsdatum
24.11.2017
Verlag
Springer US
Erschienen in
Designs, Codes and Cryptography / Ausgabe 10/2018
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-017-0441-6

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