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    Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours

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    Authors
    Gildea, Joe
    Korban, Adrian
    Roberts, Adam M.
    Tylyshchak, Alexander
    Publication Date
    2022
    
    Metadata
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    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>
    Citation
    Advances in Mathematics of Communications, volume 0, issue 0, page 0
    Publisher
    American Institute of Mathematical Sciences (AIMS)
    URI
    http://hdl.handle.net/10034/626799
    Type
    article
    Description
    From Crossref journal articles via Jisc Publications Router
    Publication status: Published
    Collections
    Mathematics

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