FOUR-DIMENSIONAL LATTICES FROM $\mathbb Q(\sqrt{2},\sqrt{5})$

J. Carmelo Interlando, T.P. da N'obrega Neto, José Valter Lopes Nunes, José Othon Dantas Lopes

Type: Article

Publication Date: 2017-11-10

Citations: 2

DOI: https://doi.org/10.12732/ijam.v30i5.4

Abstract

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.

Locations

International Journal of Apllied Mathematics - View - PDF

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