Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions
| dc.contributor.author | Roberts, Adam | |
| dc.date.accessioned | 2024-08-22T13:40:15Z | |
| dc.date.available | 2024-08-22T13:40:15Z | |
| dc.date.issued | 2022-12-22 | |
| dc.identifier | https://chesterrep.openrepository.com/bitstream/handle/10034/628963/Accepted%20Manuscript%20%231.pdf?sequence=1 | |
| dc.identifier.citation | Roberts, A. M. (2024). Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions. Applicable Algebra in Engineering, Communication and Computing, 35, 833–858. https://doi.org/10.1007/s00200-022-00589-w | en_US |
| dc.identifier.issn | 0938-1279 | en_US |
| dc.identifier.doi | 10.1007/s00200-022-00589-w | |
| dc.identifier.uri | http://hdl.handle.net/10034/628963 | |
| dc.description | This 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/s00200-022-00589-w] | |
| dc.description.abstract | In this work, we give three new techniques for constructing Hermitian self-dual codes over commutative Frobenius rings with a non-trivial involutory automorphism using λ-circulant matrices. The new constructions are derived as modifications of various well-known circulant constructions of self-dual codes. Applying these constructions together with the building-up construction, we construct many new best known quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40. | en_US |
| dc.description.sponsorship | Unfunded | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.url | https://link.springer.com/article/10.1007/s00200-022-00589-w | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.subject | Hermitian self-dual codes | en_US |
| dc.subject | Codes over rings | en_US |
| dc.subject | λ-circulant matrix | en_US |
| dc.subject | Optimal codes | en_US |
| dc.subject | Best known codes | en_US |
| dc.title | Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions | en_US |
| dc.type | Article | en_US |
| dc.identifier.eissn | 1432-0622 | en_US |
| dc.contributor.department | University of Chester | en_US |
| dc.identifier.journal | Applicable Algebra in Engineering, Communication and Computing | en_US |
| dc.rights.embargodate | 2022-12-22 | |
| dc.description.note | Mediated submission at author's request - AAM not added to CR until 22/08/2024 by which point the embargo period had expired. | |
| dc.identifier.volume | 35 | |
| dc.date.accepted | 2022-09-12 | |
| rioxxterms.identifier.project | Unfunded | en_US |
| rioxxterms.version | AM | en_US |
| rioxxterms.licenseref.startdate | 2023-12-22 | |
| dc.source.beginpage | 833–858 | |
| dc.date.deposited | 2024-08-22 | en_US |
