Constructions of algebraic lattices

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Abstract

In this work we present constructions of algebraic lattices in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices ≙n, for n = 2, 3, 4, 6, 8 and K12. These algebraic lattices are constructed through twisted canonical homomorphism via ideals of a ring of algebraic integers. © 2010 SBMAC.

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Andrade, A. A., Ferrari, A. J., Benedito, C. W. O., & Costa, S. I. R. (2010). Constructions of algebraic lattices. Computational and Applied Mathematics, 29(3), 493–505. https://doi.org/10.1590/S1807-03022010000300010

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