On \(q\)-Steiner systems from rank metric codes

DOI10.1016/j.disc.2018.06.034zbMath1393.05060OpenAlexW2885014027MaRDI QIDQ1660254

Joachim Rosenthal, Javier de la Cruz, Wolfgang Willems, Francisco Arias

Publication date: 15 August 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.06.034

zbMATH Keywords

rank metric code\(q\)-Steiner systemdually AMRD code

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Other designs, configurations (05B30) Other types of codes (94B60)

Related Items (2)

On dually almost MRD codes ⋮ An Assmus--Mattson Theorem for Rank Metric Codes

Uses Software

• Magma

Cites Work

• Unnamed Item
• A new family of linear maximum rank distance codes
• Algebraic structures of MRD codes
• On the automorphism group of a binary \(q\)-analog of the Fano plane
• On defining generalized rank weights
• Codes of small defect
• Almost MDS codes
• Theory of codes with maximum rank distance
• Partitions of a vector space
• Bilinear forms over a finite field, with applications to coding theory
• The Magma algebra system. I: The user language
• On dually almost MRD codes
• Weight distribution of rank-metric codes
• The order of the automorphism group of a binary \(q\)-analog of the Fano plane is at most two
• Extension of Overbeck's attack for Gabidulin-based cryptosystems
• On the genericity of maximum rank distance and Gabidulin codes
• Derived and residual subspace designs
• EXISTENCE OF -ANALOGS OF STEINER SYSTEMS
• Relative Generalized Rank Weight of Linear Codes and Its Applications to Network Coding
• Generalized rank weights: A duality statement
• Generalized Hamming weights for linear codes

This page was built for publication: On \(q\)-Steiner systems from rank metric codes