Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes

In this paper, we first construct several classes of classical Hermitian self-orthogonal MDS codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obta...

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Bibliographic Details
Main Authors: Jin, Lingfei, Ling, San, Luo, Jinquan, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/94049
http://hdl.handle.net/10220/7706
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Institution: Nanyang Technological University
Language: English
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Summary:In this paper, we first construct several classes of classical Hermitian self-orthogonal MDS codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous constructions.