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arXiv · 2407.06081

Optimal Rank-Metric Codes with Rank-Locality from Drinfeld Modules

Luca Bastioni·Mohamed O. Darwish·Giacomo Micheli
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Abstract

We introduce a new technique to construct rank-metric codes using the arithmetic theory of Drinfeld modules over global fields, and Dirichlet Theorem on polynomial arithmetic progressions. Using our methods, we obtain a new infinite family of optimal rank-metric codes with rank-locality, i.e. every code in our family achieves the information theoretical bound for rank-metric codes with rank-locality.

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Luca Bastioni, Mohamed O. Darwish, Giacomo Micheli. 2024-07-08. Optimal Rank-Metric Codes with Rank-Locality from Drinfeld Modules. https://arxiv.org/abs/2407.06081

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