A new number field construction of the lattice \(E_8\)

DOI10.1007/s13366-012-0095-5zbMath1295.11075OpenAlexW2085117133MaRDI QIDQ375919

J. Carmelo Interlando, André Luís Contiero, André Luiz Flores, Trajano Pires da Nóbrega Neto

Publication date: 1 November 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0095-5

zbMATH Keywords

latticecyclotomic fieldquadratic formsphere packing

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice packing and covering (number-theoretic aspects) (11H31) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Minima of forms (11H50)

Related Items (1)

New p-dimensional lattices from cyclic extensions

Cites Work

• On computing discriminants of subfields of \(\mathbb Q(\zeta_{p^r})\)
• Extreme forms and cyclotomy
• A cyclotomic construction for Leech's lattice
• Good lattice constellations for both Rayleigh fading and Gaussian channels
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