On the non-existence of perfect codes in the sum-rank metric
Fuente:
arXiv
Saved in:
| Main Authors: | Del Prete, Giuseppe, Roccolano, Antonio, Zullo, Ferdinando |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On perfect symmetric rank-metric codes
by: Mushrraf, Usman, et al.
Published: (2024)
by: Mushrraf, Usman, et al.
Published: (2024)
One-weight codes in the sum-rank metric
by: Mushrraf, Usman, et al.
Published: (2025)
by: Mushrraf, Usman, 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)
by: Abiad, Aida, et al.
Published: (2026)
On the existence of linear rank-metric intersecting codes
by: Borello, Martino, et al.
Published: (2026)
by: Borello, Martino, et al.
Published: (2026)
Invariants for sum-rank metric codes
by: Santonastaso, Paolo, et al.
Published: (2025)
by: Santonastaso, Paolo, et al.
Published: (2025)
Two-weight rank-metric codes
by: Zullo, Ferdinando, et al.
Published: (2024)
by: Zullo, Ferdinando, et al.
Published: (2024)
Clubs in projective spaces and three-weight rank-metric codes
by: Mannaert, Jonathan, et al.
Published: (2025)
by: Mannaert, Jonathan, et al.
Published: (2025)
Delsarte duality on subspaces and applications to rank-metric codes and q-matroids
by: Borello, Martino, et al.
Published: (2025)
by: Borello, Martino, et al.
Published: (2025)
Rank-metric codes over arbitrary fields: Bounds and constructions
by: Neri, Alessandro, et al.
Published: (2026)
by: Neri, Alessandro, et al.
Published: (2026)
Symmetric Tensor Decompositions over Finite Fields
by: Cotardo, Giuseppe, et al.
Published: (2026)
by: Cotardo, Giuseppe, et al.
Published: (2026)
Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes
by: Ozbudak, Ferruh, et al.
Published: (2024)
by: Ozbudak, Ferruh, et al.
Published: (2024)
On the number of inequivalent linearized Reed-Solomon codes
by: Mannaert, Jonathan, et al.
Published: (2026)
by: Mannaert, Jonathan, et al.
Published: (2026)
Full weight spectrum one-orbit cyclic subspace codes
by: Castello, Chiara, et al.
Published: (2024)
by: Castello, Chiara, et al.
Published: (2024)
Whitney Numbers of Rank-Metric Lattices and Code Enumeration
by: Cotardo, Giuseppe, et al.
Published: (2024)
by: Cotardo, Giuseppe, et al.
Published: (2024)
On one-orbit cyclic subspace codes of $\mathcal{G}_q(n,3)$
by: Castello, Chiara, et al.
Published: (2024)
by: Castello, Chiara, et al.
Published: (2024)
Linear rank-metric intersecting codes
by: Bartoli, Daniele, et al.
Published: (2025)
by: Bartoli, Daniele, et al.
Published: (2025)
Quasi-optimal cyclic orbit codes
by: Castello, Chiara, et al.
Published: (2025)
by: Castello, Chiara, et al.
Published: (2025)
Decoding Trombetti-Zhou codes: a new syndrome-based decoding approach
by: Li, Chunlei, et al.
Published: (2025)
by: Li, Chunlei, et al.
Published: (2025)
Short rank-metric codes and scattered subspaces
by: Lia, Stefano, et al.
Published: (2023)
by: Lia, Stefano, et al.
Published: (2023)
On the stabilizer of the graph of linear functions over finite fields
by: Smaldore, Valentino, et al.
Published: (2024)
by: Smaldore, Valentino, et al.
Published: (2024)
The Geometry of Codes for Random Access in DNA Storage
by: Gruica, Anina, et al.
Published: (2024)
by: Gruica, Anina, et al.
Published: (2024)
Decoding rank metric Reed-Muller codes
by: Couvreur, Alain, et al.
Published: (2025)
by: Couvreur, Alain, et al.
Published: (2025)
Eigenvalue bounds and alternating rank-metric codes
by: Abiad, Aida, et al.
Published: (2024)
by: Abiad, Aida, et al.
Published: (2024)
The geometry of rank-metric codes
by: Alfarano, Gianira N., et al.
Published: (2026)
by: Alfarano, Gianira N., et al.
Published: (2026)
The geometry of covering codes in the sum-rank metric
by: Bonini, Matteo, et al.
Published: (2024)
by: Bonini, Matteo, et al.
Published: (2024)
New scattered linearized quadrinomials
by: Smaldore, Valentino, et al.
Published: (2024)
by: Smaldore, Valentino, et al.
Published: (2024)
Efficient encoding and decoding algorithm for a class of perfect single-deletion-correcting permutation codes
by: Gao, Minhan, et al.
Published: (2024)
by: Gao, Minhan, et al.
Published: (2024)
On maximal almost balanced non-overlapping codes and non-overlapping codes with restricted run-lengths
by: Stanovnik, Lidija, et al.
Published: (2024)
by: Stanovnik, Lidija, et al.
Published: (2024)
Reed-Muller codes in the sum-rank metric
by: Berardini, Elena, et al.
Published: (2024)
by: Berardini, Elena, et al.
Published: (2024)
Adjoint and duality for rank-metric codes in a skew polynomial framework
by: Gómez-Torrecillas, José, et al.
Published: (2025)
by: Gómez-Torrecillas, José, et al.
Published: (2025)
Self-dual codes and LCD codes in sum-rank metric
by: Xia, Qingfeng, et al.
Published: (2025)
by: Xia, Qingfeng, et al.
Published: (2025)
A geometric invariant of linear rank-metric codes
by: Astore, Valentina, et al.
Published: (2024)
by: Astore, Valentina, et al.
Published: (2024)
Triprojective almost perfect nonlinear permutations and functions
by: Göloğlu, Faruk, et al.
Published: (2026)
by: Göloğlu, Faruk, et al.
Published: (2026)
Equivalences of biprojective almost perfect nonlinear functions
by: Göloğlu, Faruk, et al.
Published: (2021)
by: Göloğlu, Faruk, et al.
Published: (2021)
More MDS codes of non-Reed-Solomon type
by: Wu, Yansheng, et al.
Published: (2024)
by: Wu, Yansheng, et al.
Published: (2024)
A new family of $2$-scattered subspaces and related MRD codes
by: Bartoli, Daniele, et al.
Published: (2024)
by: Bartoli, Daniele, et al.
Published: (2024)
The maximum number of nonzero weights of linear rank-metric codes
by: Castello, Chiara, et al.
Published: (2025)
by: Castello, Chiara, et al.
Published: (2025)
Algebraic Geometry codes in the sum-rank metric
by: Berardini, Elena, et al.
Published: (2023)
by: Berardini, Elena, et al.
Published: (2023)
Saturating linear sets in PG$(2,q^4)$
by: Zullo, Ferdinando
Published: (2024)
by: Zullo, Ferdinando
Published: (2024)
On null completely regular codes in Manhattan metric
by: Mogilnykh, I. Yu., et al.
Published: (2025)
by: Mogilnykh, I. Yu., et al.
Published: (2025)
Similar Items
-
On perfect symmetric rank-metric codes
by: Mushrraf, Usman, et al.
Published: (2024) -
One-weight codes in the sum-rank metric
by: Mushrraf, Usman, 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) -
On the existence of linear rank-metric intersecting codes
by: Borello, Martino, et al.
Published: (2026) -
Invariants for sum-rank metric codes
by: Santonastaso, Paolo, et al.
Published: (2025)