Maximum weight codewords of a linear rank-metric code

Linear codes (general theory) (94B05) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Cites Work

Rank-metric codes and their duality theory
On defining generalized rank weights
Linear sets in finite projective spaces
Maximum scattered linear sets and complete caps in Galois spaces
A geometric approach to rank metric codes and a classification of constant weight codes
Theory of codes with maximum rank distance
Bilinear forms over a finite field, with applications to coding theory
Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)
Linear \((q+1)\)-fold blocking sets in \(\text{PG} (2,q^4)\)
Maximum scattered linear sets and MRD-codes
The minimum size of a linear set
The geometry of one-weight codes in the sum-rank metric
Linear cutting blocking sets and minimal codes in the rank metric
On linear sets of minimum size
Structural attacks for public key cryptosystems based on Gabidulin codes
\(\mathbb F _q\)-linear blocking sets in \(PG(2,q^4)\)
Connections between scattered linear sets and MRD-codes
A Rank-Metric Approach to Error Control in Random Network Coding
Relative Generalized Matrix Weights of Matrix Codes for Universal Security on Wire-Tap Networks
Rank-metric codes
Common Complements of Linear Subspaces and the Sparseness of MRD Codes
Maximal Ferrers Diagram Codes: Constructions and Genericity Considerations
A Bound for the Maximum Weight of a Linear Code
Maximum-rank array codes and their application to crisscross error correction
Rank-Metric Codes and Their Applications
Classifications and constructions of minimum size linear sets on the projective line
Rank-Metric Codes, Semifields, and the Average Critical Problem
The Projectivization Matroid of a \(\boldsymbol{q}\) -Matroid
Critical problem for a \(q\)-analogue of polymatroids
Geometric dual and sum-rank minimal codes
Divisible linear rank metric codes