Rotated Z^n-Lattices via Real Subfields of Q(\zeta_2r)

Authors

  • Antonio A. Andrade São Paulo State University (Unesp), Institute of Biosciences, Humanities and Exact Sciences (Ibilce), Campus São José do Rio Preto. https://orcid.org/0000-0001-6452-2236
  • José C. Interlando San Diego State University

DOI:

https://doi.org/10.5540/tema.2019.020.03.445

Keywords:

Lattices, cyclotomic fields, modulation design, fading channels, minimum product distance.

Abstract

A method for constructing rotated Z^n-lattices, with n a power of 2, based on totally real subfields of the cyclotomic field Q(\zeta_{2^r}), where r\geq 4 is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously addressed are obtained.

Author Biographies

Antonio A. Andrade, São Paulo State University (Unesp), Institute of Biosciences, Humanities and Exact Sciences (Ibilce), Campus São José do Rio Preto.

Department of Mathematics

José C. Interlando, San Diego State University

Department of Mathematics & Statistics

References

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Downloads

Published

2019-12-02

How to Cite

Andrade, A. A., & Interlando, J. C. (2019). Rotated Z^n-Lattices via Real Subfields of Q(\zeta_2r). Trends in Computational and Applied Mathematics, 20(3), 445. https://doi.org/10.5540/tema.2019.020.03.445

Issue

Vol. 20 No. 3 (2019)

Section

Original Article

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