Locality for Codes over the Integers
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914516920434688 |
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| author | Cavicchioni, Giulia Guerrini, Eleonora Lavauzelle, Julien |
| author_facet | Cavicchioni, Giulia Guerrini, Eleonora Lavauzelle, Julien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26756 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Locality for Codes over the Integers Cavicchioni, Giulia Guerrini, Eleonora Lavauzelle, Julien Information Theory 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. |
| title | Locality for Codes over the Integers |
| topic | Information Theory |
| url | https://arxiv.org/abs/2604.26756 |