New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
| dc.contributor.author | Gildea, Joe | |
| dc.contributor.author | Korban, Adrian | |
| dc.contributor.author | Roberts, Adam | |
| dc.date.accessioned | 2024-08-28T08:17:29Z | |
| dc.date.available | 2024-08-28T08:17:29Z | |
| dc.date.issued | 2021-12-19 | |
| dc.identifier | https://chesterrep.openrepository.com/bitstream/handle/10034/628968/s10623-021-00976-3.pdf?sequence=1 | |
| dc.identifier.citation | Gildea, J., Korban, A., & Roberts, A. M. (2022). New binary self-dual codes of lengths 80, 84 and 96 from composite matrices. Designs, Codes and Cryptography, 90, 317–342. https://doi.org/10.1007/s10623-021-00976-3 | en_US |
| dc.identifier.issn | 0925-1022 | en_US |
| dc.identifier.doi | 10.1007/s10623-021-00976-3 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10034/628968 | |
| dc.description | The version of record of this article, first published in [Designs, Codes and Cryptography], is available online at Publisher’s website: http://dx.doi.org/10.1007/s10623-021-00976-3 | en_US |
| dc.description.abstract | In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative Frobenius rings. By applying these techniques over different alphabets, we construct best known singly-even binary self-dual codes of lengths 80, 84 and 96 as well as doubly-even binary self-dual codes of length 96 that were not known in the literature before. | en_US |
| dc.description.sponsorship | Unfunded | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.url | https://link.springer.com/article/10.1007/s10623-021-00976-3 | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.subject | Self-dual codes | en_US |
| dc.subject | Group rings | en_US |
| dc.title | New binary self-dual codes of lengths 80, 84 and 96 from composite matrices | en_US |
| dc.type | Article | en_US |
| dc.identifier.eissn | 1573-7586 | en_US |
| dc.contributor.department | University of Chester | en_US |
| dc.identifier.journal | Designs, Codes and Cryptography | en_US |
| dc.identifier.volume | 90 | |
| dc.date.accepted | 2021-11-08 | |
| rioxxterms.identifier.project | Unfunded | en_US |
| rioxxterms.version | VoR | en_US |
| dc.source.beginpage | 317–342 | |
| dc.date.deposited | 2024-08-28 | en_US |
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