论文标题
网络编码中的退化标志品种
Degenerate flag varieties in network coding
论文作者
论文摘要
在Liebhold,Nebe和Vazquez-Castro引入的网络编码中,将标志应用于网络编码,我们开发了这种使用退化标志的这种编码技术的变体。该信息集是赋予标志等级度量标准的上三角矩阵空间的度量仿射空间。这表明,与线性子空间编码中使用的等级度量代码相比,国旗等级指标的理论的发展。
Building upon the application of flags to network coding introduced by Liebhold, Nebe, and Vazquez-Castro, we develop a variant of this coding technique that uses degenerate flags. The information set is a metric affine space isometric to the space of upper triangular matrices endowed with the flag rank metric. This suggests the development of a theory for flag rank metric codes in analogy to the rank metric codes used in linear subspace coding.