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Quasi-cyclic constructions of quantum codes

dc.contributor.authorGalindo, Carlos
dc.contributor.authorHernando, Fernando
dc.contributor.authorMatsumoto, Ryutaroh
dc.date.accessioned2018-06-12T06:49:13Z
dc.date.available2018-06-12T06:49:13Z
dc.date.issued2018-07
dc.identifier.citationGALINDO PASTOR, Carlos; HERNADO CARRILLO, Fernando Javier; MATSUMOTO, Ryutaroh. (2018). Quasi-cyclic constructions of quantum codes. Finite Fields and Their Applications, v. 52, p. 261-280ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/175104
dc.description.abstractWe give sufficient conditions for self-orthogonality with respect to symplec- tic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic weight and the minimum distance of the involved codes. Supported in the previous results, we show algebraic constructions of good quantum codes and determine their parametersca_CA
dc.format.extent16 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfFinite Fields and Their Applications (2018), v. 52ca_CA
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectQuasi-cyclic codesca_CA
dc.subjectTraceca_CA
dc.subjectSymplecticca_CA
dc.subjectHermitian and Euclidean dualityca_CA
dc.subjectQuantum codesca_CA
dc.titleQuasi-cyclic constructions of quantum codesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.ffa.2018.04.010
dc.relation.projectID1) Spanish Ministry of Economy/FEDER: grants MTM2015-65764-C3-2-P and MTM2015-69138-REDT; 2) University Jaume I: grant PB1-1B2015-02, and 3) JPS grant: 26289116ca_CA
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://www.sciencedirect.com/science/article/pii/S1071579718300522?via%3Dihubca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersionca_CA


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