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

Antonio A. Andrade, José C. Interlando

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.

Keywords


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

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References


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

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TEMA - Trends in Applied and Computational Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
ISSN: 1677-1966  (print version),  2179-8451  (online version)

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