2022
DOI: 10.48550/arxiv.2211.00298
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Constructing MRD codes by switching

Abstract: MRD codes are maximum codes in the rank-distance metric space on m-by-n matrices over the finite field of order q. They are diameter perfect and have the cardinality q m(n−d+1) if m ≥ n. We define switching in MRD codes as replacing special MRD subcodes by other subcodes with the same parameters. We consider constructions of MRD codes admitting such switching, including punctured twisted Gabidulin codes and direct-product codes. Using switching, we construct a huge class of MRD codes whose cardinality grows do… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 8 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?