具有$ρ=2$和对偶对映的线性$q$ -ary完全正则码
On linear $q$-ary completely regular codes with $ρ=2$ and dual antipodal
摘要：
当对偶码对映时，刻画了所有覆盖半径为$ρ=2$的线性$q$ -ary完全正则码.这些完全正则码是覆盖半径为1的线性完全正则码的推广，它们都是可分类的。对于$ρ=2$，我们给出了我们已知的所有此类代码的列表。这也给出了两个重量线性对跖码的特征。
英文摘要：
We characterize all linear $q$-ary completely regular codes with covering radius $ρ=2$ when the dual codes are antipodal. These completely regular codes are extensions of linear completely regular codes with covering radius 1, which are all classified. For $ρ=2$, we give a list of all such codes known to us. This also gives the characterization of two weight linear antipodal codes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
