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Rotated ℤn-Lattices via Real Subfields of ℚ(ζ2r)

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posted on 25.12.2019 by A. A. ANDRADE, J. 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 ( ζ 2 r ), where r ≥ 4is an integer, is presented. Lattices exhibiting full diversity in some dimensions n not previously addressed are obtained.

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