Show simple item record

dc.contributor.authorDougherty, Steven
dc.contributor.authorGildea, Joe
dc.contributor.authorKaya, Abidin
dc.contributor.authorKorban, Adrian
dc.date.accessioned2019-10-15T09:17:43Z
dc.date.available2019-10-15T09:17:43Z
dc.date.issued2019-11-30
dc.identifier.citationDougherty, S, T., Gildea, J., Korban, A. & Kaya, A. (2019). Composite Constructions of Self-Dual Codes from Group Rings and New Extremal Self-Dual Binary Codes of Length 68. Advances in Mathematics of Communications.en_US
dc.identifier.doi10.3934/amc.2020037
dc.identifier.urihttp://hdl.handle.net/10034/622713
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 Dougherty, S, T., Gildea, J., Korban, A. & Kaya, A. (2019 - forthcoming). Composite Constructions of Self-Dual Codes from Group Rings and New Extremal Self-Dual Binary Codes of Length 68. Advances in Mathematics of Communications, is available online at: 10.3934/amc.2020037.en_US
dc.description.abstractWe describe eight composite constructions from group rings where the orders of the groups are 4 and 8, which are then applied to find self-dual codes of length 16 over F4. These codes have binary images with parameters [32, 16, 8] or [32, 16, 6]. These are lifted to codes over F4 + uF4, to obtain codes with Gray images extremal self-dual binary codes of length 64. Finally, we use a building-up method over F2 + uF2 to obtain new extremal binary self-dual codes of length 68. We construct 11 new codes via the building-up method and 2 new codes by considering possible neighbors.en_US
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.urlhttps://www.aimsciences.org/journal/1930-5346en_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.titleComposite Constructions of Self-Dual Codes from Group Rings and New Extremal Self-Dual Binary Codes of Length 68en_US
dc.typeArticleen_US
dc.identifier.eissn1930-5338en_US
dc.contributor.departmentUniversity of Scranton; University of Chester; Sampoerna University ; University of Chesteren_US
dc.identifier.journalAdvances in Mathematics of Communicationsen_US
dc.date.accepted2019-09-18
or.grant.openaccessYesen_US
rioxxterms.funderN/Aen_US
rioxxterms.identifier.projectNen_US
rioxxterms.versionAMen_US
rioxxterms.versionofrecordhttps://doi.org/10.3934/amc.2020037
rioxxterms.licenseref.startdate2020-11-30
rioxxterms.publicationdate2019-11-30
dc.dateAccepted2019-09-18
dc.date.deposited2019-10-15en_US
dc.indentifier.issn1930-5346en_US


Files in this item

Thumbnail
Name:
Composite Constructions of ...
Size:
368.9Kb
Format:
PDF
Request:
Main article

This item appears in the following Collection(s)

Show simple item record

https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/