On defining generalized rank weights

DOI10.3934/amc.2017014zbMath1357.94082arXiv1506.02865OpenAlexW3102272702MaRDI QIDQ514540

Relinde P. M. J. Jurrius, Pellikaan, Ruud

Publication date: 9 March 2017

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02865

zbMATH Keywords

coding theorynetwork codingrank metric codesdegenerate codesgeneralized rank weights

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (17)

Rank weights for arbitrary finite field extensions ⋮ Rank error-correcting pairs ⋮ Defining the \(q\)-analogue of a matroid ⋮ On \(q\)-Steiner systems from rank metric codes ⋮ Linear cutting blocking sets and minimal codes in the rank metric ⋮ New MRD codes from linear cutting blocking sets ⋮ Evasive subspaces, generalized rank weights and near MRD codes ⋮ On the generalised rank weights of quasi-cyclic codes ⋮ Some matroids related to sum-rank metric codes ⋮ Rank-metric codes and \(q\)-polymatroids ⋮ Weight spectra of Gabidulin rank-metric codes and Betti numbers ⋮ Saturating systems and the rank-metric covering radius ⋮ Rank weight hierarchy of some classes of polynomial codes ⋮ A polymatroid approach to generalized weights of rank metric codes ⋮ Theory of supports for linear codes endowed with the sum-rank metric ⋮ A geometric approach to rank metric codes and a classification of constant weight codes ⋮ \(q\)-polymatroids and their relation to rank-metric codes

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized weights: an anticode approach
• Galois invariance, trace codes and subfield subcodes
• Theory of codes with maximum rank distance
• Bilinear forms over a finite field, with applications to coding theory
• On the Similarities Between Generalized Rank and Hamming Weights and Their Applications to Network Coding
• Relative Generalized Rank Weight of Linear Codes and Its Applications to Network Coding
• Generalized rank weights: A duality statement
• Codes, Arrangements and Matroids
• On the dimension of subfield subcodes
• Isometries for rank distance and permutation group of gabidulin codes

This page was built for publication: On defining generalized rank weights