scholarly journals Concatenation of convolutional codes and rank metric codes for multi-shot network coding

2017 ◽  
Vol 86 (2) ◽  
pp. 303-318 ◽  
Author(s):  
D. Napp ◽  
R. Pinto ◽  
V. Sidorenko
Keyword(s):  
Network Coding ◽  
Convolutional Codes ◽  
Rank Metric ◽  
Rank Metric Codes

scholarly journals Degenerate flag varieties in network coding

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Ghislain Fourier ◽  
Gabriele Nebe
Keyword(s):  
Network Coding ◽  
Affine Space ◽  
Linear Subspace ◽  
Flag Varieties ◽  
Triangular Matrices ◽  
Upper Triangular Matrices ◽  
Rank Metric ◽  
Rank Metric Codes ◽  
Information Set ◽  
Degenerate Flag Varieties

<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>

scholarly journals Convolutional Codes in Rank Metric With Application to Random Network Coding

2015 ◽  
Vol 61 (6) ◽  
pp. 3199-3213 ◽  
Author(s):  
Antonia Wachter-Zeh ◽  
Markus Stinner ◽  
Vladimir Sidorenko
Keyword(s):  
Network Coding ◽  
Random Network ◽  
Convolutional Codes ◽  
Random Network Coding ◽  
Rank Metric
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