Rotated \(D_n\)-lattices

DOI10.1016/j.jnt.2012.05.002zbMath1272.11084arXiv1111.3787OpenAlexW2963947967MaRDI QIDQ452375

Grasiele C. Jorge, Sueli I. R. Costa, Agnaldo José Ferrari

Publication date: 21 September 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3787

zbMATH Keywords

cyclotomic fieldsDn latticesminimum product distance

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Channel models (including quantum) in information and communication theory (94A40) Minima of forms (11H50) Products of linear forms (11H46)

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Rotated \(A_n \)-lattice codes of full diversity, Unnamed Item, On rotated \(D_n\)-lattices constructed via totally real number fields, Constructions of full diversity \(D_n\)-lattices for all \(n\), Unnamed Item, Lattices from maximal orders into quaternion algebras, Algebraic construction of lattices via maximal quaternion orders, Algebraic lattices via polynomial rings, Algebraic constructions of densest lattices

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