An upper bound on the covering radius of the logarithmic lattice for cyclotomic number fields

DOI10.1016/j.disc.2023.113665OpenAlexW4386067478MaRDI QIDQ6080124

Robson R. de Araujo

Publication date: 30 October 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113665

zbMATH Keywords

cyclotomic unitscyclotomic number fieldcovering packinglogarithmic embeddinglogarithmic lattice

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31) Cyclotomic extensions (11R18)

Cites Work

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• The Magma algebra system. I: The user language
• Algebraic constructions of densest lattices
• New Algebraic Constructions of Rotated<tex>$ mmb Z^n$</tex>-Lattice Constellations for the Rayleigh Fading Channel
• Universal Lattice Codes for MIMO Channels
• Lattices Applied to Coding for Reliable and Secure Communications
• Good lattice constellations for both Rayleigh fading and Gaussian channels
• Recovering Short Generators of Principal Ideals in Cyclotomic Rings
• On lattices, learning with errors, random linear codes, and cryptography

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