Algebraic constructions of densest lattices

DOI10.1016/j.jalgebra.2014.12.044zbMath1358.11076OpenAlexW2047823247MaRDI QIDQ2341309

Grasiele C. Jorge, Sueli I. R. Costa, Antonio Aparecido de Andrade, João Eloir Strapasson

Publication date: 24 April 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.12.044

zbMATH Keywords

latticescoding theorydiversitypacking densityalgebraic number theoryminimum product distance

Mathematics Subject Classification ID

Cryptography (94A60) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial codes (94B25)

Related Items (7)

Rotated \(A_n \)-lattice codes of full diversity ⋮ Unnamed Item ⋮ An upper bound on the covering radius of the logarithmic lattice for cyclotomic number fields ⋮ Trace form associated to cyclic number fields of ramified odd prime degree ⋮ Algebraic construction of lattices via maximal quaternion orders ⋮ Algebraic constructions of rotated unimodular lattices and direct sum of Barnes–Wall lattices ⋮ Algebraic lattices via polynomial rings

Cites Work

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• Extreme forms and cyclotomy
• A cyclotomic construction for Leech's lattice
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