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arXiv · 2604.26756

Locality for Codes over the Integers

Giulia Cavicchioni·Eleonora Guerrini·Julien Lavauzelle
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Abstract

In this work, we study the codes over the integers with locality constraints. We introduce a weighted notion of locality over $\mathbb{Z}/q_1\mathbb{Z} \times \cdots \times \mathbb{Z}/q_n\mathbb{Z}$ and derive a Singleton-like bound for locally recoverable codes. We also propose some code constructions with locality, including integer analogs of Tamo--Barg codes.

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Giulia Cavicchioni, Eleonora Guerrini, Julien Lavauzelle. 2026-04-29. Locality for Codes over the Integers. https://arxiv.org/abs/2604.26756

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