Network coding with flags

DOI10.1007/s10623-017-0361-5zbMath1412.94254arXiv1612.07177OpenAlexW2608395580MaRDI QIDQ1696043

Angeles Vazquez-Castro, Dirk Liebhold, Gabriele Nebe

Publication date: 14 February 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07177

zbMATH Keywords

flag varietyerror correcting codesnetwork codingspherical buildingGrassmann distance on flags

Mathematics Subject Classification ID

Groups with a (BN)-pair; buildings (20E42) Theory of error-correcting codes and error-detecting codes (94B99) Symmetric groups (20B30)

Related Items (11)

Flag codes of maximum distance and constructions using Singer groups ⋮ Optimum distance flag codes from spreads via perfect matchings in graphs ⋮ How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ Submodule codes as spherical codes in buildings ⋮ Constructions of optimum distance full flag codes ⋮ Degenerate flag varieties in network coding ⋮ Cyclic orbit flag codes ⋮ Bounds for flag codes ⋮ Flag codes from planar spreads in network coding ⋮ An orbital construction of optimum distance flag codes ⋮ Flag codes: distance vectors and cardinality bounds

Uses Software

• OEIS

Cites Work

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• A combinatorial approach to the double cosets of the symmetric group with respect to Young subgroups
• The depth of a permutation.
• Buildings
• Coding for Errors and Erasures in Random Network Coding
• A Rank-Metric Approach to Error Control in Random Network Coding
• Network information flow

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