Cover Image

Short rank-metric codes and scattered subspaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lia, Stefano, Longobardi, Giovanni, Marino, Giuseppe, Trombetti, Rocco
Format:	Preprint
Published:	2023
Subjects:	Information Theory Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

q-Polymatroids associated with restricted rank-metric codes
by: Byrne, Eimear, et al.
Published: (2026)

Linear rank-metric intersecting codes
by: Bartoli, Daniele, et al.
Published: (2025)

A new family of $2$-scattered subspaces and related MRD codes
by: Bartoli, Daniele, et al.
Published: (2024)

A lower bound on the minimum weight of some geometric codes
by: Csajbók, Bence, et al.
Published: (2025)

Delsarte duality on subspaces and applications to rank-metric codes and q-matroids
by: Borello, Martino, et al.
Published: (2025)

On the non-existence of perfect codes in the sum-rank metric
by: Del Prete, Giuseppe, et al.
Published: (2025)

A geometric characterization of known maximum scattered linear sets of $\mathrm{PG}(1,q^n)$
by: Grimaldi, Giovanni Giuseppe, et al.
Published: (2024)

Non-linear MRD codes from cones over exterior sets
by: Durante, Nicola, et al.
Published: (2023)

On perfect symmetric rank-metric codes
by: Mushrraf, Usman, et al.
Published: (2024)

Two-weight rank-metric codes
by: Zullo, Ferdinando, et al.
Published: (2024)

Eigenvalue bounds and alternating rank-metric codes
by: Abiad, Aida, et al.
Published: (2024)

On the existence of linear rank-metric intersecting codes
by: Borello, Martino, et al.
Published: (2026)

Decoding rank metric Reed-Muller codes
by: Couvreur, Alain, et al.
Published: (2025)

One-weight codes in the sum-rank metric
by: Mushrraf, Usman, et al.
Published: (2025)

The geometry of rank-metric codes
by: Alfarano, Gianira N., et al.
Published: (2026)

Clubs in projective spaces and three-weight rank-metric codes
by: Mannaert, Jonathan, et al.
Published: (2025)

Semidefinite and linear programming bounds for sum-rank-metric codes and non-existence results
by: Abiad, Aida, et al.
Published: (2026)

Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes
by: Ozbudak, Ferruh, et al.
Published: (2024)

Full weight spectrum one-orbit cyclic subspace codes
by: Castello, Chiara, et al.
Published: (2024)

Towards the classification of maximum scattered linear sets of $\mathrm{PG}(1,q^5)$
by: Lia, Stefano, et al.
Published: (2025)

On one-orbit cyclic subspace codes of $\mathcal{G}_q(n,3)$
by: Castello, Chiara, et al.
Published: (2024)

Invariants for sum-rank metric codes
by: Santonastaso, Paolo, et al.
Published: (2025)

Rank-metric codes over arbitrary fields: Bounds and constructions
by: Neri, Alessandro, et al.
Published: (2026)

Adjoint and duality for rank-metric codes in a skew polynomial framework
by: Gómez-Torrecillas, José, et al.
Published: (2025)

Bounds on $k$-hash distances and rates of linear codes
by: Della Fiore, Stefano, et al.
Published: (2025)

A geometric invariant of linear rank-metric codes
by: Astore, Valentina, et al.
Published: (2024)

The maximum number of nonzero weights of linear rank-metric codes
by: Castello, Chiara, et al.
Published: (2025)

New invariants for rank metric codes, with applications to the classification of rank two semifields of order 256
by: Gilchrist, Jack, et al.
Published: (2026)

On null completely regular codes in Manhattan metric
by: Mogilnykh, I. Yu., et al.
Published: (2025)

On the hull-variation problem of equivalent vector rank metric codes
by: Ho, Duy, et al.
Published: (2025)

Asymptotically optimal cyclic subspace codes
by: Castello, Chiara, et al.
Published: (2025)

Additive codes from linear codes
by: Ball, Simeon, et al.
Published: (2025)

Latroids and code invariants
by: Gorla, Elisa, et al.
Published: (2025)

The geometry of covering codes in the sum-rank metric
by: Bonini, Matteo, et al.
Published: (2024)

Error-detecting solid codes
by: Carruth, Nathan Thomas
Published: (2026)

An infinite family of non-extendable MRD codes
by: Bartoli, Daniele, et al.
Published: (2026)

On maximal almost balanced non-overlapping codes and non-overlapping codes with restricted run-lengths
by: Stanovnik, Lidija, et al.
Published: (2024)

Focal-free uniform hypergraphs and codes
by: Huang, Xinqi, et al.
Published: (2024)

Near optimal constructions of frameproof codes
by: Liu, Miao, et al.
Published: (2024)

Quasi-optimal cyclic orbit codes
by: Castello, Chiara, et al.
Published: (2025)