Constructions of Dense Lattices over Number Fields
DOI:
https://doi.org/10.5540/tema.2020.021.01.57Keywords:
Algebric lattices, number fields, sphere packings.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 Lambda_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.References
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