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dc.contributor.authorGildea, Joe
dc.contributor.authorKaya, Abidin
dc.contributor.authorTaylor, Rhian
dc.contributor.authorTylyshchak, Alexander
dc.contributor.authorYildiz, Bahattin
dc.date.accessioned2021-08-06T10:52:24Z
dc.date.available2021-08-06T10:52:24Z
dc.date.issued2021-08-20
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/625505/TBQR.pdf?sequence=1
dc.identifier.citationGildea, J., Kaya, A., Taylor, R., Tylyshchak, A., & Yildiz, B. (2021). New extremal binary self-dual codes from block circulant matrices and block quadratic residue circulant matrices. Discrete Mathematics, 344(11), 112590. https://doi.org/10.1016/j.disc.2021.112590en_US
dc.identifier.issn0012-365X
dc.identifier.doi10.1016/j.disc.2021.112590
dc.identifier.urihttp://hdl.handle.net/10034/625505
dc.description.abstractIn this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions when this construction can yield self-dual codes. We construct self-dual codes of various lengths over F2 and F2 + uF2. Using extensions, neighbours and sequences of neighbours, we construct many new self-dual codes. In particular, we construct one new self-dual code of length 66 and 51 new self-dual codes of length 68.en_US
dc.publisherElsevieren_US
dc.relation.urlhttps://www.sciencedirect.com/science/article/abs/pii/S0012365X21003034
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.subjectself-dual codesen_US
dc.titleNew Extremal Binary Self-dual Codes from block circulant matrices and block quadratic residue circulant matricesen_US
dc.typeArticleen_US
dc.contributor.departmentUniversity of Chester; Sampoerna University; Uzhgorod National University; Northern Arizona Universityen_US
dc.identifier.journalDiscrete Mathematicsen_US
or.grant.openaccessYesen_US
rioxxterms.funderunfundeden_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionAMen_US
rioxxterms.licenseref.startdate2023-08-20
dcterms.dateAccepted2021-08-05
rioxxterms.publicationdate2021-08-20
dc.date.deposited2021-08-06en_US
dc.indentifier.issn0012-365Xen_US


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