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

Antonio A. Andrade, José C. Interlando


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.


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

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Trends in Computational and Applied Mathematics

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