Divisible Linear Rank Metric Codes

A subspace of matrices in {\mathbb F}_{q^{e}}^{m\times n} can be naturally embedded as a subspace of matrices in {\mathbb F}_{q}^{em\times en} with the property that the rank of any of its matrix is a multiple of e . It is quite natural to ask whether or not all subspaces of matrices with such...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on information theory 2023-07, Vol.69 (7), p.4528-4536
Main Authors: Polverino, Olga, Santonastaso, Paolo, Sheekey, John, Zullo, Ferdinando
Format: Article
Language:English
Subjects:
Codecs
Codes
Divisible codes
function over finite fields
idealizer
Linearity
linearized polynomial
Mathematical analysis
Mathematics
Measurement
Poles and towers
Quantum computing
Questions
rank metric codes
Subspaces
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!