Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings
dc.contributor.author | Gildea, Joe | |
dc.contributor.author | Kaya, Abidin | |
dc.contributor.author | Taylor, Rhian | |
dc.contributor.author | Tylyshchak, Alexander | |
dc.date.accessioned | 2019-12-05T09:09:05Z | |
dc.date.available | 2019-12-05T09:09:05Z | |
dc.identifier.citation | Gildea, J., Abidin, K., Taylor, R. & Tylyshchak, A. (2020). Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings. Cryptography and Communications, 1–16. | |
dc.identifier.uri | http://hdl.handle.net/10034/622870 | |
dc.description | This is a post-peer-review, pre-copyedit version of an article published in Cryptography and Communications. The final authenticated version is available online at: http://dx.doi.org/10.1007/s12095-019-00420-3 | |
dc.description.abstract | In this work, we describe a double bordered construction of self-dual codes from group rings. We show that this construction is effective for groups of order 2p where p is odd, over the rings F2 + uF2 and F4 + uF4. We demonstrate the importance of this new construction by finding many new binary self-dual codes of lengths 64, 68 and 80; the new codes and their corresponding weight enumerators are listed in several tables | en_US |
dc.publisher | Springer | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
dc.subject | Group rings | en_US |
dc.subject | Self-dual codes | en_US |
dc.subject | Codes over rings | en_US |
dc.subject | Extremal codes | en_US |
dc.subject | Bordered constructions | en_US |
dc.title | Double Bordered Constructions of Self-Dual Codes from Group Rings over Frobenius Rings | en_US |
dc.type | Article | en_US |
dc.identifier.eissn | 1936-2455 | en_US |
dc.contributor.department | University of Chester; Sampoerna University; Uzhgorod State University | en_US |
dc.identifier.journal | Cryptography and Communications | en_US |
or.grant.openaccess | Yes | en_US |
rioxxterms.funder | N/A | en_US |
rioxxterms.identifier.project | N/A | en_US |
rioxxterms.version | AM | en_US |
rioxxterms.licenseref.startdate | 2021-01-09 | |
rioxxterms.publicationdate | 2020-01-09 | |
dc.dateAccepted | 2019-11-30 | |
dc.date.deposited | 2019-12-05 | en_US |
dc.indentifier.issn | 1936-2447 | en_US |