Degenerate flag varieties in network coding-Reference-Cited by-同舟云学术

Degenerate flag varieties in network coding

Published:2021 Issue:0 Volume:0 Page:0
ISSN:1930-5338
Container-title:Advances in Mathematics of Communications
language:
Short-container-title:AMC

Author:

Fourier Ghislain,Nebe Gabriele

Abstract

<p style='text-indent:20px;'>Building upon the application of flags to network coding introduced in [<xref ref-type="bibr" rid="b6">6</xref>], 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.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Reference9 articles.

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