Artículos de revistas
Fully-Diverse Lattices from Ramified Cyclic Extensions of Prime Degree
Fecha
2020-01-01Registro en:
International Journal of Applied Mathematics, v. 33, n. 6, p. 1009-1015, 2020.
1314-8060
1311-1728
10.12732/ijam.v33i6.4
2-s2.0-85099623568
Autor
San Diego State University San Diego
S˜ao Paulo State University
University of Murcia
Federal University of S˜ao Paulo
Institución
Resumen
Let p be an odd prime. Algebraic lattices of full diversity in dimension p are obtained from ramified cyclic extensions of degree p. The 3, 5, and 7-dimensional lattices are optimal with respect to sphere packing density and therefore are isometric to laminated lattices in those dimensions.