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dc.contributor.authorDougherty, Steven
dc.contributor.authorGildea, Joe
dc.contributor.authorKorban, Adrian
dc.contributor.authorKaya, Abidin
dc.date.accessioned2020-03-03T09:26:59Z
dc.date.available2020-03-03T09:26:59Z
dc.identifier.citationDougherty, S., Gildea, J., Korban, A. & Kaya, A. (2020- forthcoming). New Extremal Self-Dual Binary Codes of Length 68 via Composite Construction, F2 + uF2 Lifts, Extensions and Neighbors. International Journal of Information and Coding Theoryen_US
dc.identifier.urihttp://hdl.handle.net/10034/623218
dc.description.abstractWe describe a composite construction from group rings where the groups have orders 16 and 8. This construction is then applied to find the extremal binary self-dual codes with parameters [32, 16, 8] or [32, 16, 6]. We also extend this composite construction by expanding the search field which enables us to find more extremal binary self-dual codes with the above parameters and with different orders of automorphism groups. These codes are then lifted to F2 + uF2, to obtain extremal binary images of codes of length 64. Finally, we use the extension method and neighbor construction to obtain new extremal binary self-dual codes of length 68. As a result, we obtain 28 new codes of length 68 which were not known in the literature before.en_US
dc.publisherInderscienceen_US
dc.rights.urihttps://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.titleNew Extremal Self-Dual Binary Codes of Length 68 via Composite Construction, F2 + uF2 Lifts, Extensions and Neighborsen_US
dc.typeArticleen_US
dc.identifier.eissn1753-7711en_US
dc.contributor.departmentUniversity of Scranton; University of Chester; University of Chester; Sampoerna Academy;en_US
dc.identifier.journalInternational Journal of Information and Coding Theoryen_US
or.grant.openaccessYesen_US
rioxxterms.funderN/Aen_US
rioxxterms.identifier.projectN/Aen_US
rioxxterms.versionAMen_US
rioxxterms.licenseref.startdate2021-12-31
refterms.dateFCD2020-03-02T09:23:20Z
refterms.versionFCDAM
rioxxterms.publicationdate2020
dc.dateAccepted2020-02-29
dc.date.deposited2020-03-03en_US
dc.indentifier.issn1753-7703en_US


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