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dc.contributor.authorGildea, Joe
dc.contributor.authorKaya, Abidin
dc.contributor.authorKorban, Adrian
dc.contributor.authorYildiz, Bahattin
dc.date.accessioned2020-07-22T08:32:14Z
dc.date.available2020-07-22T08:32:14Z
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/623555/New%20Extremal%20binary%20self-dual%20codes%20of%20length%2068%20from%20generalized%20neighbors.pdf?sequence=1
dc.identifier.citationGildea, J., Abidin, K., Korban, A. & Yildiz, B. (2020). New Extremal binary self-dual codes of length 68 from generalized neighbors. Finite Fields and their Applications, 67, 101727.en_US
dc.identifier.doi10.1016/j.ffa.2020.101727
dc.identifier.urihttp://hdl.handle.net/10034/623555
dc.description.abstractIn this work, we use the concept of distance between self-dual codes, which generalizes the concept of a neighbor for self-dual codes. Using the $k$-neighbors, we are able to construct extremal binary self-dual codes of length 68 with new weight enumerators. We construct 143 extremal binary self-dual codes of length 68 with new weight enumerators including 42 codes with $\gamma=8$ in their $W_{68,2}$ and 40 with $\gamma=9$ in their $W_{68,2}$. These examples are the first in the literature for these $\gamma$ values. This completes the theoretical list of possible values for $\gamma$ in $W_{68,2}$.en_US
dc.publisherElsevieren_US
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.subjectExtremal self-dual codesen_US
dc.subjectNeighboren_US
dc.subjectDistance of self-dual codesen_US
dc.subjectWeight enumeratoren_US
dc.titleNew Extremal binary self-dual codes of length 68 from generalized neighborsen_US
dc.typeArticleen_US
dc.contributor.departmentUniversity of Chester; Sampoerna University; Northern Arizona Universityen_US
dc.identifier.journalFinite Fields and their Applicationsen_US
or.grant.openaccessYesen_US
rioxxterms.funderunfundeden_US
rioxxterms.identifier.projectunfundeden_US
rioxxterms.versionAMen_US
rioxxterms.versionofrecordhttps://doi.org/10.1016/j.ffa.2020.101727
rioxxterms.licenseref.startdate2021-07-30
rioxxterms.publicationdate2020-07-30
dc.dateAccepted2020-07-12
dc.date.deposited2020-07-22en_US
dc.indentifier.issn1071-5797en_US


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