Some matroids related to sum-rank metric codes

We introduce the notion of sum-matroids and show its association with sum-rank metric codes. As a consequence, some results for sum-rank metric codes by Martínez-Peñas are generalized for sum-matroids. The sum-matroids generalize the notions of matroids and q-matroids. We define the generalized weig...

Full description

Saved in:
Bibliographic Details
Published in:Discrete mathematics 2023-04, Vol.346 (4), p.113301, Article 113301
Main Authors: Panja, Avijit, Pratihar, Rakhi, Randrianarisoa, Tovohery Hajatiana
Format: Article
Language:English
Subjects:
Duality
Generalized weights
Linear code
Matroid
Sum-matroid
Sum-rank metric
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!
Description
Summary:We introduce the notion of sum-matroids and show its association with sum-rank metric codes. As a consequence, some results for sum-rank metric codes by Martínez-Peñas are generalized for sum-matroids. The sum-matroids generalize the notions of matroids and q-matroids. We define the generalized weights for sum-matroids and prove a Wei-type duality theorem which generalizes the analogous cases for matroids and q-matroids.
ISSN:0012-365X
1872-681X
1872-681X
DOI:10.1016/j.disc.2022.113301