Lattices of type $A_n$, $D_n$, $E_n$ and codes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915175629586432 |
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| author | Higa, Riku |
| author_facet | Higa, Riku |
| contents | We propose a construction of lattices from codes corresponding to lattices of type $A_n$, $D_n$ and $E_n$. This construction is a generalization of construction A of lattices from $p$-ary codes corresponding to a lattice of type $A_{p-1}$. Moreover, we introduce some examples of application of lattices from the construction to Hilbert modular form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19753 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattices of type $A_n$, $D_n$, $E_n$ and codes Higa, Riku Number Theory primary 11H71, secondary 11E12, 11H06, We propose a construction of lattices from codes corresponding to lattices of type $A_n$, $D_n$ and $E_n$. This construction is a generalization of construction A of lattices from $p$-ary codes corresponding to a lattice of type $A_{p-1}$. Moreover, we introduce some examples of application of lattices from the construction to Hilbert modular form. |
| title | Lattices of type $A_n$, $D_n$, $E_n$ and codes |
| topic | Number Theory primary 11H71, secondary 11E12, 11H06, |
| url | https://arxiv.org/abs/2502.19753 |