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dc.contributor.authorDougherty, Steven*
dc.contributor.authorGildea, Joe*
dc.contributor.authorKaya, Abidin*
dc.contributor.authorKorban, Adrian*
dc.contributor.authorTylyshchak, Alexander*
dc.contributor.authorYildiz, Bahattin*
dc.date.accessioned2019-02-19T11:10:44Z
dc.date.available2019-02-19T11:10:44Z
dc.date.issued2019-02-22
dc.identifier.citationDougherty, S. T., Gildea, J., Korban, A., Kaya, A., Tylyshchak, A., & Yildiz, B. (2019). Bordered constructions of self-dual codes from group rings and new extremal binary self-dual codes. Finite Fields and their Applications, 57, 108-127
dc.identifier.issn1071-5797
dc.identifier.doi10.1016/j.ffa.2019.02.004
dc.identifier.urihttp://hdl.handle.net/10034/621892
dc.description.abstractWe introduce a bordered construction over group rings for self-dual codes. We apply the constructions over the binary field and the ring $\F_2+u\F_2$, using groups of orders 9, 15, 21, 25, 27, 33 and 35 to find extremal binary self-dual codes of lengths 20, 32, 40, 44, 52, 56, 64, 68, 88 and best known binary self-dual codes of length 72. In particular we obtain 41 new binary extremal self-dual codes of length 68 from groups of orders 15 and 33 using neighboring and extensions. All the numerical results are tabulated throughout the paper.
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttps://www.journals.elsevier.com/finite-fields-and-their-applicationsen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectbordered constructionsen
dc.subjectextremal codesen
dc.subjectcodes over ringsen
dc.subjectelf-dual codesen
dc.subjectgroup ringsen
dc.titleBordered Constructions of Self-Dual Codes from Group Rings and New Extremal Binary Self-Dual Codesen
dc.typeArticleen
dc.contributor.departmentUniversity of Scranton; University of Chester; Sampoerna Academy; Uzhgorod State University; Northern Arizona Universityen
dc.identifier.journalFinite Fields and Their Applications
dc.date.accepted2019-02-14
or.grant.openaccessYesen
rioxxterms.funderunfundeden_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2020-02-22
rioxxterms.publicationdate2019-02-22


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