Well-rounded algebraic lattices in odd prime dimension

DOI10.1007/s00013-018-1232-7zbMath1429.11118OpenAlexW2887480853MaRDI QIDQ1721759

Sueli I. R. Costa, Robson R. de Araujo

Publication date: 12 February 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1232-7

zbMATH Keywords

latticeswell-rounded latticesMinkowski embedding

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Relations with coding theory (11H71)

Cites Work

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• On rotated \(D_n\)-lattices constructed via totally real number fields
• The integral trace form of cyclic extensions of odd prime degree
• ON WELL-ROUNDED IDEAL LATTICES
• New Algebraic Constructions of Rotated<tex>$ mmb Z^n$</tex>-Lattice Constellations for the Rayleigh Fading Channel
• New p-dimensional lattices from cyclic extensions
• Minkowski’s conjecture, well-rounded lattices and topological dimension
• Good lattice constellations for both Rayleigh fading and Gaussian channels