Rank metric codes from Drinfeld modules
Abstract
We establish a connection between Drinfeld modules and rank-metric codes, focusing on the case of semifield codes. Our method constructs rank-metric codes from linear subspaces of endomorphisms of a Drinfeld module acting on torsion submodules. We show that Sheekey's construction [She20] fits naturally into this framework, yielding a short conceptual proof of one of his main results. We then give a new construction of infinite families of semifield codes arising from Drinfeld modules defined over finite fields.
Fields of Study & Subjects
Coding theory and cryptography
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint