Four-dimensional lattices from ℚ(√2,√5)

Artículos de revistas

Fecha

2017-01-01

Registro en:

International Journal of Applied Mathematics, v. 30, n. 5, p. 401-408, 2017.

1314-8060

1311-1728

http://hdl.handle.net/11449/232687

10.12732/ijam.v30i5.4

2-s2.0-85037161858

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5412779

Autor

San Diego State University

Universidade Estadual Paulista (UNESP)

Federal University of Ceará Fortaleza

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

Lattices

Minimum product distance

Modulation

Number fields

Sphere packings

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