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dc.contributor.authorGildea, Joe
dc.contributor.authorKaya, Abidin
dc.contributor.authorYildiz, Bahattin
dc.date.accessioned2019-07-29T13:24:16Z
dc.date.available2019-07-29T13:24:16Z
dc.date.issued2019-08-07
dc.identifier.citationGildea, J., Kaya, A. & Yildiz, B. (2019). An Altered Four Circulant Construction for Self-Dual Codes from Group Rings and New Extremal Binary Self-dual Codes I. Discrete Mathematics, 342(12), 111620en_US
dc.identifier.issn0012-365X
dc.identifier.doi10.1016/j.disc.2019.111620
dc.identifier.urihttp://hdl.handle.net/10034/622439
dc.description.abstractWe introduce an altered version of the four circulant construction over group rings for self-dual codes. We consider this construction over the binary field, the rings F2 + uF2 and F4 + uF4; using groups of order 4 and 8. Through these constructions and their extensions, we find binary self-dual codes of lengths 16, 32, 48, 64 and 68, many of which are extremal. In particular, we find forty new extremal binary self-dual codes of length 68, including twelve new codes with \gamma=5 in W68,2, which is the first instance of such a value in the literature.en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0012365X19302821en_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.subjectGroup ringsen_US
dc.subjectself-dual codesen_US
dc.subjectcodes over ringsen_US
dc.subjectextremal codesen_US
dc.subjectfour circulant constructionsen_US
dc.titleAn Altered Four Circulant Construction for Self-Dual Codes from Group Rings and New Extremal Binary Self-dual Codes Ien_US
dc.typeArticleen_US
dc.identifier.eissn1872-681X
dc.contributor.departmentUniversity of Chester; Sampoerna University; Northern Arizona Universityen_US
dc.identifier.journalDiscrete Mathematicsen_US
dc.date.accepted2019-07-23
or.grant.openaccessYesen_US
rioxxterms.funderN/Aen_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionAMen_US
rioxxterms.licenseref.startdate2020-08-07
rioxxterms.publicationdate2019-08-07


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