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On the distance of stabilizer quantum codes from J-affine variety codes
Año del Documento
Quantum Information Processing. Volume 16, Issue 4, 16:111 (2017)
Self-orthogonal J-affine variety codes have been successfully used to obtain quantum stabilizer codes with excellent parameters. In a previous paper we gave formulae for the dimension of this family of quantum codes, but no bound for the minimum distance was given. In this work, we show how to derive quantum stabilizer codes with designed minimum distance from J-affine variety codes and their subfield-subcodes. Moreover, this allows us to obtain new quantum codes, some of them either, with better parameters, or with larger distances than the previously known codes.
Revisión por pares
Supported by the Spanish Ministry of Economy/FEDER: grants MTM2012-36917-C03-03 and MTM2015-65764-C3-2-P, the University Jaume I: grant PB1-1B2015-02 and the Danish Council for Independent Research: grant DFF-4002-00367.
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