论文标题
反对双重重量级公制代码
Antipodal two-weight rank metric codes
论文作者
论文摘要
我们考虑了线性抗焦点两重量级度量代码的类别，并以$ t $ spreads来讨论其属性和特征。结果表明，此类代码的尺寸为$ 2 $，最低级别距离至少是长度的一半。我们从某些MRD代码构建了抗焦点两重等级指标。当最小等级距离等于长度的一半时，将获得此类代码的完整分类。由于我们构建了两个重量级的度量代码，因此我们获得了一些明确的两次重量锤量指标。
We consider the class of linear antipodal two-weight rank metric codes and discuss their properties and characterization in terms of $t$-spreads. It is shown that the dimension of such codes is $2$ and the minimum rank distance is at least half of the length. We construct antipodal two-weight rank metric codes from certain MRD codes. A complete classification of such codes is obtained, when the minimum rank distance is equal to half of the length. As a consequence of our construction of two-weight rank metric codes, we get some explicit two-weight Hamming metric codes.
