Rank metric codes from Drinfeld modules

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Authors: Giacomo Micheli, Mihran Papikian
Cited by: 0

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