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http://repositorio.ufla.br/jspui/handle/1/42304| Title: | Constructions of dense lattices over number fields |
| Keywords: | Algebric lattices, Number fields Sphere packings |
| Issue Date: | 2020 |
| Publisher: | Sociedade Brasileira de Matemática e Estatística |
| Citation: | ANDRADE, A. A. et al. Constructions of dense lattices over number fields. Tendências em Matemática Aplicada e Computacional, São Carlos, v. 21, n. 1, p. 57-63, 2020. |
| Abstract: | In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2,3,4,5,6,8 and 12, which are rotated versions of the lattices Λn, for n = 2,3,4,5,6,8 and K12. These algebraic lattices are constructed through canonical homomorphism via Zmodules of the ring of algebraic integers of a number field |
| URI: | http://repositorio.ufla.br/jspui/handle/1/42304 |
| Appears in Collections: | DEX - Artigos publicados em periódicos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ARTIGO_Constructions of dense lattices over number fields.pdf | 697,47 kB | Adobe PDF | View/Open |
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