Degenerate flag varieties in network coding | Zendy

Ghislain Fourier | Zendy; Gabriele Nebe | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Degenerate flag varieties in network coding

Author(s) -

Ghislain Fourier,

Gabriele Nebe

Publication year - 2021

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2021027

Subject(s) - mathematics , flag (linear algebra) , affine space , linear network coding , subspace topology , degenerate energy levels , affine transformation , coding (social sciences) , discrete mathematics , rank (graph theory) , combinatorics , pure mathematics , algebra over a field , mathematical analysis , computer science , statistics , computer network , physics , quantum mechanics , network packet

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research