Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes

In the present paper, we show that if the dimension of an arbitrary algebraic geometry code over a finite field of even characteristic is slightly less than n/2-g with n being the length of the code and g being the genus of the base curve, then it is equivalent to an Euclidean self-orthogonal code....

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Bibliographic Details
Main Authors: Jin, Lingfei, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/95846
http://hdl.handle.net/10220/11432
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Institution: Nanyang Technological University
Language: English
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