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dc.contributor.authorGildea, Joe
dc.contributor.authorHamilton, Holly
dc.contributor.authorKaya, Abidin
dc.contributor.authorYildiz, Bahattin
dc.date.accessioned2020-02-03T09:09:26Z
dc.date.available2020-02-03T09:09:26Z
dc.date.issued2020-02-10
dc.identifier.citationGildea, J., Hamilton, H., Kaya, A. & Yildiz, B. (2020-forthcoming). Modified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68, Information Processing Letters, 157, 105927.en_US
dc.identifier.doi10.1016/j.ipl.2020.105927
dc.identifier.urihttp://hdl.handle.net/10034/623140
dc.description.abstractIn this work we consider modified versions of quadratic double circulant and quadratic bordered double circulant constructions over the binary field and the rings F2 +uF2 and F4 +uF4 for different prime values of p. Using these constructions with extensions and neighbors we are able to construct a number of extremal binary self-dual codes of different lengths with new parameters in their weight enumerators. In particular we construct 2 new codes of length 64, 4 new codes of length 66 and 14 new codes of length 68. The binary generator matrices of the new codes are available online at [8].en_US
dc.publisherElsevieren_US
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0020019020300144?casa_token=Jlwy0oUAOLUAAAAA:sXN8p_e9DUas-_cXFlD3ThUiWlsK1pB3Lr4Cdz6fFNsvJSNBtPdMFspj1pM11-DZSdZU0lVjYw
dc.rightsCC0 1.0 Universal*
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/en_US
dc.subjectCombinatorial problemsen_US
dc.subjectExtremal self-dual codesen_US
dc.subjectCodes over ringsen_US
dc.subjectQuadratic residuesen_US
dc.subjectQuadratic circulant matricesen_US
dc.titleModified Quadratic Residue Constructions and New Exermal Binary Self-Dual Codes of Lengths 64, 66 and 68en_US
dc.typeArticleen_US
dc.identifier.eissn1872-6119en_US
dc.contributor.departmentUniversity of Chester; University of Chester; Sampoerna University; Northern Arizona Universityen_US
dc.identifier.journalInformation Processing Lettersen_US
or.grant.openaccessYesen_US
rioxxterms.funderN/Aen_US
rioxxterms.identifier.projectN/Aen_US
rioxxterms.versionAMen_US
rioxxterms.versionofrecordhttps://doi.org/10.1016/j.ipl.2020.105927
rioxxterms.licenseref.startdate2021-02-10
rioxxterms.publicationdate2020-02-10
dc.dateAccepted2020-01-30
dc.date.deposited2020-02-03en_US
dc.indentifier.issn0020-0190en_US


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Except where otherwise noted, this item's license is described as CC0 1.0 Universal