On the distance of stabilizer quantum codes from J-affine variety codes
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Other documents of the author: Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano, Diego
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
On the distance of stabilizer quantum codes from J-affine variety codesDate
2017Publisher
Springer VerlagISSN
1570-0755; 1573-1332Bibliographic citation
Galindo, C., Geil, O., Hernando, F. et al. Quantum Inf Process (2017) 16: 111Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007/s11128-017-1559-1Version
info:eu-repo/semantics/sumittedVersionSubject
Abstract
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, ... [+]
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. [-]
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Quantum Inf Process, 2017, vol. 16, núm 111Rights
© Springer Science+Business Media New York 2017
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