Wei-type duality theorems for rank metric codes
From MaRDI portal
Publication:782848
DOI10.1007/s10623-019-00688-9OpenAlexW2991036055MaRDI QIDQ782848
Thomas Britz, Adam Mammoliti, Shiromoto, Keisuke
Publication date: 29 July 2020
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-019-00688-9
Linear codes (general theory) (94B05) Combinatorics of partially ordered sets (06A07) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items (5)
Some matroids related to sum-rank metric codes ⋮ A polymatroid approach to generalized weights of rank metric codes ⋮ Constructions of new \(q\)-cryptomorphisms ⋮ \(q\)-polymatroids and their relation to rank-metric codes ⋮ Shellability and homology of \(q\)-complexes and \(q\)-matroids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rank-metric codes and their duality theory
- Wei-type duality theorems for matroids
- Generalized weights: an anticode approach
- A MacWilliams type identity for matroids
- Designs from subcode supports of linear codes
- Theory of codes with maximum rank distance
- A combinatorial problem for vector spaces over finite fields
- Bilinear forms over a finite field, with applications to coding theory
- On generalized Hamming weights for Galois ring linear codes
- Defining the \(q\)-analogue of a matroid
- Codes with a poset metric
- On Brylawski's generalized duality
- Codes with the rank metric and matroids
- Theory of supports for linear codes endowed with the sum-rank metric
- Demi-matroids from codes over finite Frobenius rings
- Higher support matroids
- On the Combinatorics of Locally Repairable Codes via Matroid Theory
- Relative Generalized Rank Weight of Linear Codes and Its Applications to Network Coding
- Generalized rank weights: A duality statement
- On the dimension of subfield subcodes
- Duality and Support Weight Distributions
- The Higher Weight Enumerators of the Doubly-Even, Self-Dual $[48, 24, 12$ Code]
- Designs from Matroids
- A Rank-Metric Approach to Error Control in Random Network Coding
- Generalized Hamming weights for linear codes
- Weight Enumeration and the Geometry of Linear Codes
- Space-time codes for high data rate wireless communication: performance criterion and code construction
- Relative Generalized Matrix Weights of Matrix Codes for Universal Security on Wire-Tap Networks
- Association schemes and coding theory
- Generalized Hamming Weights for Almost Affine Codes
- Code Enumerators and Tutte Polynomials
- Duality for Poset Codes
- Chains, Demi-Matroids, and Profiles
- Quasi-Uniform Codes and Their Applications
- New 5-designs
- Maximum-rank array codes and their application to crisscross error correction
This page was built for publication: Wei-type duality theorems for rank metric codes