Network coding with flags

Dirk Liebhold; Gabriele Nebe; Angeles Vazquez-Castro

doi:10.1007/s10623-017-0361-5

Network coding with flags

Dirk Liebhold, Gabriele Nebe, Angeles Vazquez-Castro

Research output: Contribution to journal › Article › Research › peer-review

24 Citations (Scopus)

Abstract

© 2017, Springer Science+Business Media New York. We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to the commonly used gallery distance for full flags.

Original language	English
Pages (from-to)	269-284
Journal	Designs, Codes, and Cryptography
Volume	86
Issue number	2
DOIs	https://doi.org/10.1007/s10623-017-0361-5
Publication status	Published - 1 Feb 2018

Keywords

Error correcting codes
Flag variety
Grassmann distance on flags
Network coding
Spherical building

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10.1007/s10623-017-0361-5

Cite this

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title = "Network coding with flags",

abstract = "{\textcopyright} 2017, Springer Science+Business Media New York. We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to the commonly used gallery distance for full flags.",

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author = "Dirk Liebhold and Gabriele Nebe and Angeles Vazquez-Castro",

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AU - Liebhold, Dirk

AU - Nebe, Gabriele

AU - Vazquez-Castro, Angeles

PY - 2018/2/1

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N2 - © 2017, Springer Science+Business Media New York. We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to the commonly used gallery distance for full flags.

AB - © 2017, Springer Science+Business Media New York. We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to the commonly used gallery distance for full flags.

KW - Error correcting codes

KW - Flag variety

KW - Grassmann distance on flags

KW - Network coding

KW - Spherical building

UR - https://www.scopus.com/pages/publications/85018353242

U2 - 10.1007/s10623-017-0361-5

DO - 10.1007/s10623-017-0361-5

M3 - Article

SN - 0925-1022

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SP - 269

EP - 284

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 2

ER -

Network coding with flags

Abstract

Keywords

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