FULLY-DIVERSE LATTICES FROM RAMIFIED
CYCLIC EXTENSIONS OF PRIME DEGREE
J. Carmelo Interlando1, Antonio A. Andrade2,
Begoña Garcıa Malaxechebarrıa3,
Agnaldo J. Ferrari4, Robson R. de Araújo5
1 Department of Mathematics and Statistics
San Diego State University
San Diego, CA 92182-7720, USA
2 Department of Mathematics
São Paulo State University
São José do Rio Preto, SP 15054-000, BRAZIL
3 University of Murcia
30100 Murcia, SPAIN
4 Department of Mathematics
São Paulo State University
Bauru, SP 17033-360, BRAZIL
5 Federal University of São Paulo
Cubatão, SP 11533-360, BRAZIL

Abstract

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.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 6
Year: 2020

DOI: 10.12732/ijam.v33i6.4

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