A family of asymptotically good lattices having a lattice in each dimension
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World Scientific Publ Co Pte Ltd
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Article
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Abstract
A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n >= 1. Each lattice is obtained from a conveniently chosen integral ideal in a subfield of the cyclotomic field Q(zeta(q)) where q is the smallest prime congruent to 1 modulo n.
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Keywords
lattices, sphere packings, center density, number fields, geometry of numbers, cyclotomic fields, Craig's lattices
Language
English
Citation
International Journal Of Number Theory. Singapore: World Scientific Publ Co Pte Ltd, v. 4, n. 1, p. 147-154, 2008.
