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arXiv · 2601.03653

Rank metric codes from Drinfeld modules

Giacomo Micheli·Mihran Papikian
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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.

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Giacomo Micheli, Mihran Papikian. 2026-01-07. Rank metric codes from Drinfeld modules. https://arxiv.org/abs/2601.03653

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