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dc.contributor.authorRoberts, Adam
dc.date.accessioned2024-08-22T13:41:50Z
dc.date.available2024-08-22T13:41:50Z
dc.date.issued2024-02-22
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/628964/Accepted%20Manuscript%20%232.pdf?sequence=1
dc.identifier.citationRoberts, A.M. (2024). Self-dual codes from a block matrix construction characterised by group rings. Designs, Codes and Cryptography, 92, 1599–1617. https://doi.org/10.1007/s10623-024-01359-0en_US
dc.identifier.issn0925-1022en_US
dc.identifier.doi10.1007/s10623-024-01359-0en_US
dc.identifier.urihttp://hdl.handle.net/10034/628964
dc.descriptionThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10623-024-01359-0]
dc.descriptionThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10623-024-01359-0]
dc.description.abstractWe give a new technique for constructing self-dual codes based on a block matrix whose blocks arise from group rings and orthogonal matrices. The technique can be used to construct self-dual codes over finite commutative Frobenius rings of characteristic 2. We give and prove the necessary conditions needed for the technique to produce self-dual codes. We also establish the connection between self-dual codes generated by the new technique and units in group rings. Using the construction together with the building-up construction, we obtain new extremal binary self-dual codes of lengths 64, 66 and 68 and new best known binary self-dual codes of length 80.en_US
dc.description.sponsorshipUnfundeden_US
dc.publisherSpringeren_US
dc.relation.urlhttps://link.springer.com/article/10.1007/s10623-024-01359-0en_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.subjectBinary self-dual codesen_US
dc.subjectGroup ringsen_US
dc.subjectGray mapsen_US
dc.subjectExtremal codesen_US
dc.subjectOptimal codesen_US
dc.subjectBest known codesen_US
dc.titleSelf-dual codes from a block matrix construction characterised by group ringsen_US
dc.typeArticleen_US
dc.identifier.eissn1573-7586en_US
dc.contributor.departmentUniversity of Chesteren_US
dc.identifier.journalDesigns, Codes and Cryptographyen_US
dc.identifier.volume92
dc.date.accepted2024-01-11
rioxxterms.identifier.projectUnfundeden_US
rioxxterms.versionAMen_US
rioxxterms.licenseref.startdate2024-02-22
dc.source.beginpage1599
dc.source.endpage1617
dc.date.deposited2024-08-22en_US


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