Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911770681016320 |
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| author | Haymaker, Kathryn López, Hiram H. Malmskog, Beth Matthews, Gretchen L. Piñero, Fernando |
| author_facet | Haymaker, Kathryn López, Hiram H. Malmskog, Beth Matthews, Gretchen L. Piñero, Fernando |
| contents | Employing underlying geometric and algebraic structures allows for constructing bespoke codes for local recovery of erasures. We survey techniques for enriching classical codes with additional machinery, such as using lines or curves in projective space for local recovery sets or products of curves to enhance the availability of data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16314 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings Haymaker, Kathryn López, Hiram H. Malmskog, Beth Matthews, Gretchen L. Piñero, Fernando Information Theory Commutative Algebra Algebraic Geometry 94B05, 11T71, 14G50 Employing underlying geometric and algebraic structures allows for constructing bespoke codes for local recovery of erasures. We survey techniques for enriching classical codes with additional machinery, such as using lines or curves in projective space for local recovery sets or products of curves to enhance the availability of data. |
| title | Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings |
| topic | Information Theory Commutative Algebra Algebraic Geometry 94B05, 11T71, 14G50 |
| url | https://arxiv.org/abs/2312.16314 |