In this paper, we employ group rings and automorphism groups of binary linear codes to construct new record-breaking binary linear codes. We consider the semidirect product of abelian groups and cyclic groups and use these groups to construct linear codes. Finally, we obtain some linear codes which have better parameters than the code in \cite{bib5}. All the calculation results and corresponding data are listed in the paper or posted online.
翻译:本文利用群环与二进制线性码的自同构群,构造了新的破纪录二进制线性码。我们考虑了阿贝尔群与循环群的半直积,并利用这些群构造线性码。最终,我们获得了一些参数优于\cite{bib5}中代码的线性码。所有计算结果及相关数据均在文中列出或已在线发布。