Short rank-metric codes and scattered subspaces
From MaRDI portal
Publication:6622738
DOI10.1137/23m1574749MaRDI QIDQ6622738
Stefano Lia, Rocco Trombetti, Giovanni Longobardi, Giuseppe Marino
Publication date: 22 October 2024
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Combinatorial aspects of finite geometries (05B25) Polynomials over finite fields (11T06) Other types of codes (94B60) Combinatorial structures in finite projective spaces (51E20)
Cites Work
- Unnamed Item
- On \(x^{q+1}+ax+b\)
- 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
- Criteria for the irreducibility of functions in a finite field.
- 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
- A characterization of linearized polynomials with maximum kernel
- Generalising the scattered property of subspaces
- Linear cutting blocking sets and minimal codes in the rank metric
- Rank-metric codes, linear sets, and their duality
- A characterization of the number of roots of linearized and projective polynomials in the field of coefficients
- New MRD codes from linear cutting blocking sets
- Composition collisions and projective polynomials
- Explicit List-Decodable Rank-Metric and Subspace Codes via Subspace Designs
- Isometries for rank distance and permutation group of gabidulin codes
- A Rank-Metric Approach to Error Control in Random Network Coding
- Projective polynomials
- On the trace of powers of square matrices
- Subspace evasive sets
- Evasive subspaces, generalized rank weights and near MRD codes
- Saturating systems and the rank-metric covering radius
- Evasive subspaces
This page was built for publication: Short rank-metric codes and scattered subspaces