Constructions of Dense Lattices over Number Fields
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 Λ n , for n = 2 , 3 , 4 , 5 , 6 , 8 and K 12. These algebraic lattices are constructed through canonical homomorphism via ℤ-modules of the ring of algebraic integers of a number field.
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| Main Authors: | , , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional
2020
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512020000100057 |
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