Degenerate flag varieties in network coding
Ghislain Fourier, Gabriele Nebe · Advances in Mathematics of Communications · 2021
Building upon the application of flags to network coding introduced in [6], 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.