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On rotated D n -lattices constructed via totally real number fields

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Abstract

In this paper we construct families of rotated D n -lattices, which may be suitable for signal transmission over both Gaussian and Rayleigh fading channels via subfields of cyclotomic fields. These constructions exhibit full diversity and good minimum product distance, which are important parameters related to the signal transmission error probability. It is also shown that for some Galois extensions \({\mathbb{K}|\mathbb{Q}}\) , it is impossible to construct rotated D n -lattices via fractional ideals of \({\mathcal{O}_{\mathbb{K}}}\).

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Authors and Affiliations

  1. University of Campinas-IMECC, Campinas, 13083-859, Brazil

    Grasiele C. Jorge & Sueli I. R. Costa

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  1. Grasiele C. Jorge
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  2. Sueli I. R. Costa
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Correspondence to Sueli I. R. Costa.

Additional information

This work was partially supported by CAPES 2548/2010, CNPq 150802/2012-9, 309561/2009-4 and FAPESP 2007/56052-8.

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Jorge, G.C., Costa, S.I.R. On rotated D n -lattices constructed via totally real number fields. Arch. Math. 100, 323–332 (2013). https://doi.org/10.1007/s00013-013-0501-8

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  • DOI: https://doi.org/10.1007/s00013-013-0501-8

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