dc.contributor.author Gildea, Joe dc.contributor.author Korban, Adrian dc.contributor.author Roberts, Adam M. dc.contributor.author Tylyshchak, Alexander dc.date.accessioned 2022-04-11T01:01:07Z dc.date.available 2022-04-11T01:01:07Z dc.date.issued 2022 dc.identifier doi: 10.3934/amc.2022021 dc.identifier.citation Advances in Mathematics of Communications, volume 0, issue 0, page 0 dc.identifier.uri http://hdl.handle.net/10034/626799 dc.description From Crossref journal articles via Jisc Publications Router dc.description Publication status: Published dc.description.abstract <p style='text-indent:20px;'>In this work, we define a modification of a bordered construction for self-dual codes which utilises <inline-formula><tex-math id="M1">\begin{document}$\lambda$\end{document}</tex-math></inline-formula>-circulant matrices. We provide the necessary conditions for the construction to produce self-dual codes over finite commutative Frobenius rings of characteristic 2. Using the modified construction together with the neighbour construction, we construct many binary self-dual codes of lengths 54, 68, 82 and 94 with weight enumerators that have previously not been known to exist.</p> dc.publisher American Institute of Mathematical Sciences (AIMS) dc.source pissn: 1930-5346 dc.source eissn: 1930-5338 dc.subject Applied Mathematics dc.subject Discrete Mathematics and Combinatorics dc.subject Computer Networks and Communications dc.subject Algebra and Number Theory dc.subject Microbiology dc.title Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours dc.type article dc.date.updated 2022-04-11T01:01:06Z
﻿