Constructions of Dense Lattices over Number Fields

Antonio Aparecido de Andrade,Agnaldo José Ferrari,José Carmelo Interlando,Robson Ricardo de Araujo

Trends in Computational and Applied Mathematics（2020）

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摘要

ABSTRACT In this work, we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2;3;4;5;6;8 and 12, which are rotated versions of the lattices Λn , for n=2,3,4,5,6,8 and K 12. These algebraic lattices are constructed through canonical homomorphism via ℤ-modules of the ring of algebraic integers of a number field.

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关键词

dense lattices,number fields

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