Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
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| _version_ | 1866909094541000704 |
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| author | Grant, David Massman, John D. III Srimathy, S. |
| author_facet | Grant, David Massman, John D. III Srimathy, S. |
| contents | We give a new construction of linear codes over finite fields on higher dimensional varieties using Grothendieck's theory of residues. This generalizes the construction of differential codes over curves to varieties of higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_09311 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol Grant, David Massman, John D. III Srimathy, S. Algebraic Geometry Information Theory 14G50 We give a new construction of linear codes over finite fields on higher dimensional varieties using Grothendieck's theory of residues. This generalizes the construction of differential codes over curves to varieties of higher dimensions. |
| title | Differential Codes on Higher Dimensional Varieties Via Grothendieck's Residue Symbol |
| topic | Algebraic Geometry Information Theory 14G50 |
| url | https://arxiv.org/abs/2009.09311 |