New self-dual codes from $ 2 \times 2 $ block circulant matrices, group rings and neighbours of neighbours
New self-dual codes from $ 2 \times 2 $ block circulant matrices, group rings and neighbours of neighbours
<p style='text-indent:20px;'>In this paper, we construct new self-dual codes from a construction that involves a unique combination; <inline-formula><tex-math id="M1">\begin{document}$ 2 \times 2 $\end{document}</tex-math></inline-formula> block circulant matrices, group rings and a reverse circulant matrix. There are certain conditions, specified in this paper, where this new construction yields self-dual codes. The theory …