MRD-codes and linear sets
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Publication:516068
DOI10.1016/j.jcta.2017.01.002zbMath1386.94105OpenAlexW2579943970MaRDI QIDQ516068
Publication date: 20 March 2017
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcta.2017.01.002
Related Items (29)
Equivalence, group of automorphism and invariants of a family of rank metric codes arising from linearized polynomials ⋮ Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries ⋮ Extending two families of maximum rank distance codes ⋮ 50 years of translation structures ⋮ On the number of inequivalent Gabidulin codes ⋮ Linear sets from projection of Desarguesian spreads ⋮ MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x\)] ⋮ On kernels and nuclei of rank metric codes ⋮ On equivalence of maximum additive symmetric rank-distance codes ⋮ Maximum scattered linear sets and MRD-codes ⋮ Identifiers for MRD-codes ⋮ Cones from maximum \(h\)-scattered linear sets and a stability result for cylinders from hyperovals ⋮ Evasive subspaces, generalized rank weights and near MRD codes ⋮ Codes with few weights arising from linear sets ⋮ On a conjecture about maximum scattered subspaces of \(\mathbb{F}_{q^6}\times\mathbb{F}_{q^6}\) ⋮ Partially scattered linearized polynomials and rank metric codes ⋮ A new family of MRD-codes ⋮ A generalization of the normal rational curve in \(\mathrm {PG}(d,q^n)\) and its associated non-linear MRD codes ⋮ On the intersection problem for linear sets in the projective line ⋮ New maximum scattered linear sets of the projective line ⋮ Scattered subspaces and related codes ⋮ Partition-balanced families of codes and asymptotic enumeration in coding theory ⋮ Vertex properties of maximum scattered linear sets of \(\mathrm{PG} ( 1 , q^n )\) ⋮ Rank-metric codes, linear sets, and their duality ⋮ Puncturing maximum rank distance codes ⋮ MRD codes with maximum idealizers ⋮ Asymptotics of Moore exponent sets ⋮ A geometric approach to rank metric codes and a classification of constant weight codes ⋮ The geometric field of linearity of linear sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new family of linear maximum rank distance codes
- Desarguesian spreads
- Theory of codes with maximum rank distance
- Bilinear forms over a finite field, with applications to coding theory
- Normal spreads
- Linear \(k\)-blocking sets
- A geometric characterisation of linear \(k\)-blocking sets
- Characterizations of Segre varieties
- Maximum scattered linear sets of pseudoregulus type and the Segre variety \(\mathcal{S}_{n,n}\)
- Coding for Errors and Erasures in Random Network Coding
- Translation ovoids of orthogonal polar spaces
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