FOUR-DIMENSIONAL LATTICES FROM $\mathbb Q(\sqrt{2},\sqrt{5})$
FOUR-DIMENSIONAL LATTICES FROM $\mathbb Q(\sqrt{2},\sqrt{5})$
Four-dimensional lattices with block circulant generator matrices are constructed from submodules of the ring of integers of the totally real number field Q( √ 2, √ 5).The obtained lattices are of full diversity and their sphere packing densities are the highest known for the given relative minimum product distances.