Constructions of new nonbinary quantum codes

Constructions of new nonbinary quantum codes

Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-dis...

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Bibliographic Details
Main Authors: Hu, Xueqin, Zhang, Guanghui, Chen, Bocong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2014
Subjects:
DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
Online Access:https://hdl.handle.net/10356/99869
http://hdl.handle.net/10220/23925
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Institution: Nanyang Technological University
Language: English
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Summary:Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-distance-separable (MDS) code. Compared the parameters of our quantum MDS codes with the parameters of quantum MDS codes available in the literature, the quantum MDS codes exhibited here have bigger minimum distance.

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