Degenerate flag varieties in network coding

Advances in Mathematics of Communications, vol. 17, pp. 888–899

Abstract

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.

Authors 2

1. Ghislain Fourier Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University , 52056 Aachen , Germany

   RWTH Aachen University

2. Gabriele Nebe corresponding Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University , 52056 Aachen , Germany

   RWTH Aachen University