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

<p style='text-indent:20px;'>In this work, we define a modification of 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 to produce over finite commutative Frobenius rings characteristic 2. Using modified together with neighbour construction, construct many binary lengths 54, 68, 82 and 94 weight enumerators that have previously not been known exist.</p>