scholarly journals Construction of Large Constant Dimension Codes with a Prescribed Minimum Distance

2008 ◽  
pp. 31-42 ◽  
Author(s):  
Axel Kohnert ◽  
Sascha Kurz
Keyword(s):  
Minimum Distance ◽  
Constant Dimension ◽  
Constant Dimension Codes

scholarly journals Isometry and automorphisms of constant dimension codes

2013 ◽  
Vol 7 (2) ◽  
pp. 147-160 ◽  
Author(s):  
Anna-Lena Trautmann ◽  
Keyword(s):  
Constant Dimension ◽  
Constant Dimension Codes

scholarly journals Consistent Flag Codes

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2234
Author(s):  
Clementa Alonso-González ◽  
Miguel Ángel Navarro-Pérez
Keyword(s):  
Finite Field ◽  
Consistency Condition ◽  
Decoding Algorithm ◽  
Constant Dimension ◽  
Constant Dimension Codes

In this paper we study flag codes on Fqn, being Fq the finite field with q elements. Special attention is given to the connection between the parameters and properties of a flag code and the ones of a family of constant dimension codes naturally associated to it (the projected codes). More precisely, we focus on consistent flag codes, that is, flag codes whose distance and size are completely determined by their projected codes. We explore some aspects of this family of codes and present examples of them by generalizing the concepts of equidistant and sunflower subspace code to the flag codes setting. Finally, we present a decoding algorithm for consistent flag codes that fully exploits the consistency condition.

scholarly journals Constant-Rank Codes and Their Connection to Constant-Dimension Codes

2010 ◽  
Vol 56 (7) ◽  
pp. 3207-3216 ◽  
Author(s):  
Maximilien Gadouleau ◽  
Zhiyuan Yan
Keyword(s):  
Constant Rank ◽  
Constant Dimension ◽  
Constant Dimension Codes ◽  
Rank Codes

scholarly journals Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6

2018 ◽  
Vol 87 (2-3) ◽  
pp. 375-391 ◽  
Author(s):  
Daniel Heinlein ◽  
Thomas Honold ◽  
Michael Kiermaier ◽  
Sascha Kurz ◽  
Alfred Wassermann
Keyword(s):  
Minimum Distance ◽  
Subspace Codes ◽  
Constant Dimension
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