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dc.contributor.authorGildea, Joe
dc.contributor.authorKaya, Abidin
dc.contributor.authorKorban, Adrian
dc.contributor.authorYildiz, Bahattin
dc.date.accessioned2020-01-23T08:55:09Z
dc.date.available2020-01-23T08:55:09Z
dc.date.issued2020-01-20
dc.identifier.citationGildea, J., Abidin, K., Adrian, K. & Bahattin, Y. (2020). Constructing self-dual codes from group rings and reverse circulant matrices. Advances in Mathematics of Communications, 15(3), 471-485. https://doi.org/10.3934/amc.2020077en_US
dc.identifier.issn1930-5346
dc.identifier.doi10.3934/amc.2020077
dc.identifier.urihttp://hdl.handle.net/10034/623112
dc.descriptionThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in Advances in Mathematics of Communications following peer review. The definitive publisher-authenticated version Gildea, J., Abidin, K., Adrian, K. & Bahattin, Y. (2020). Constructing Self-Dual Codes from Group Rings and Reverse Circulant Matrices. Advances in Mathematics of Communications. is available online at: https://www.aimsciences.org/article/doi/10.3934/amc.2020077?viewType=htmlen_US
dc.description.abstractIn this work, we describe a construction for self-dual codes in which we employ group rings and reverse circulant matrices. By applying the construction directly over different alphabets, and by employing the well known extension and neighbor methods we were able to obtain extremal binary self-dual codes of different lengths of which some have parameters that were not known in the literature before. In particular, we constructed three new codes of length 64, twenty-two new codes of length 68, twelve new codes of length 80 and four new codes of length 92.en_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.urlhttps://www.aimsciences.org/article/doi/10.3934/amc.2020077
dc.rightsCC0 1.0 Universal*
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/en_US
dc.subjectGroup ringsen_US
dc.subjectExtremal binary self-dual codesen_US
dc.subjectCodes over ringsen_US
dc.subjectReverse circulant matricesen_US
dc.titleConstructing Self-Dual Codes from Group Rings and Reverse Circulant Matricesen_US
dc.typeArticleen_US
dc.identifier.eissn1930-5338en_US
dc.contributor.departmentUniversity of Chester; Sampoerna Academy; Northern Arizona Universityen_US
dc.identifier.journalAdvances in Mathematics of Communicationsen_US
or.grant.openaccessYesen_US
rioxxterms.funderN/Aen_US
rioxxterms.identifier.projectN/Aen_US
rioxxterms.versionAMen_US
rioxxterms.versionofrecordhttps://doi.org/10.3934/amc.2020077
rioxxterms.licenseref.startdate2021-01-20
rioxxterms.publicationdate2020-01-20
dc.dateAccepted2020-01-20
dc.date.deposited2020-01-23en_US


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