Degenerate flag varieties in network coding
Information Theory
2020-04-07 v2 Algebraic Geometry
math.IT
Abstract
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.
Cite
@article{arxiv.2003.02002,
title = {Degenerate flag varieties in network coding},
author = {Ghislain Fourier and Gabriele Nebe},
journal= {arXiv preprint arXiv:2003.02002},
year = {2020}
}
Comments
Updated acknowledgements