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On the distance of stabilizer quantum codes from J-affine variety codes
| dc.contributor.author | Galindo, Carlos | |
| dc.contributor.author | Geil, Olav | |
| dc.contributor.author | Hernando, Fernando | |
| dc.contributor.author | Ruano, Diego | |
| dc.date.accessioned | 2017-05-10T18:57:06Z | |
| dc.date.available | 2017-05-10T18:57:06Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Galindo, C., Geil, O., Hernando, F. et al. Quantum Inf Process (2017) 16: 111 | ca_CA |
| dc.identifier.issn | 1570-0755 | |
| dc.identifier.issn | 1573-1332 | |
| dc.identifier.uri | http://hdl.handle.net/10234/167531 | |
| dc.description.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, 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. | ca_CA |
| dc.description.sponsorShip | 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. | ca_CA |
| dc.format.extent | 26 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Springer Verlag | ca_CA |
| dc.relation.isPartOf | Quantum Inf Process, 2017, vol. 16, núm 111 | ca_CA |
| dc.rights | © Springer Science+Business Media New York 2017 "The final publication is available at Springer via http://dx.doi.org/10.1007/s11128-017-1559-1" | ca_CA |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
| dc.subject | Stabilizer J -affine variety codes | ca_CA |
| dc.subject | Subfield-subcodes | ca_CA |
| dc.subject | Designed minimum distance | ca_CA |
| dc.subject | Hermitian and Euclidean duality | ca_CA |
| dc.title | On the distance of stabilizer quantum codes from J-affine variety codes | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | http://dx.doi.org/10.1007/s11128-017-1559-1 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s11128-017-1559-1 | ca_CA |
| dc.type.version | info:eu-repo/semantics/sumittedVersion |
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