New p-dimensional lattices from cyclic extensions

DOI10.1142/S0219498817501869zbMath1423.11185OpenAlexW2529912406MaRDI QIDQ4588378

José Othon Dantas Lopes, Trajano Pires da Nóbrega Neto, José Valter Lopes Nunes, J. Carmelo Interlando

Publication date: 26 October 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817501869

zbMATH Keywords

lattice packingcyclic extensionstrace forms of number fields

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Lattice packing and covering (number-theoretic aspects) (11H31) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)

Related Items (3)

Trace form associated to cyclic number fields of ramified odd prime degree ⋮ Well-rounded algebraic lattices in odd prime dimension ⋮ Lattices from abelian extensions and error-correcting codes

Cites Work

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• A new number field construction of the lattice \(E_8\)
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• The integral trace form of cyclic extensions of odd prime degree

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