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New binary and ternary LCD codes

dc.contributor.authorGalindo, Carlos
dc.contributor.authorGeil, Olav
dc.contributor.authorHernando, Fernando
dc.contributor.authorRuano, Diego
dc.date.accessioned2020-01-15T07:39:01Z
dc.date.available2020-01-15T07:39:01Z
dc.date.issued2018-05-09
dc.identifier.citationGALINDO, Carlos, et al. New binary and ternary LCD codes. IEEE Transactions on Information Theory, 2018, 65.2: 1008-1016.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/185786
dc.description.abstractLCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3. Hence, the study of LCD codes is mainly open for binary and ternary fields. Subfieldsubcodes of J-affine variety codes are a generalization of BCH codes which have been successfully used for constructing good quantum codes. We describe binary and ternary LCD codes constructed as subfield-subcodes of J-affine variety codes and provide some new and good LCD codes coming from this construction.ca_CA
dc.format.extent13 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherIEEEca_CA
dc.rights© 2018 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectLCD codesca_CA
dc.subjectcomplementary dualca_CA
dc.subjectsubfield-subcodesca_CA
dc.subjectJ-affine variety codesca_CA
dc.subjecttoric codesca_CA
dc.titleNew binary and ternary LCD codesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1109/TIT.2018.2834500
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttps://ieeexplore.ieee.org/abstract/document/8356685ca_CA
dc.type.versioninfo:eu-repo/semantics/submittedVersionca_CA


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