ROTATED A(n)-LATTICE CODES OF FULL DIVERSITY
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Undergraduate course
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Amer Inst Mathematical Sciences-aims
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Abstract
Some important properties of lattices are packing density and full diversity, which may be good for signal transmission over both Gaussian and Rayleigh fading channel, respectively. The algebraic lattices are constructed through twisted homomorphism of some modules in the ring of integers of a number field K. In this paper, we present a construction of some families of rotated An-lattices, for n = 2(r)-2 - 1, r >= 4, via totally real subfield of cyclotomic fields. Furthermore, closed-form expressions for the minimum product distance of those lattices are obtained through algebraic properties.
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Algebraic number field, algebraic lattice, packing density, twisted homomorphism
Language
English
Citation
Advances In Mathematics Of Communications. Springfield: Amer Inst Mathematical Sciences-aims, 9 p., 2020.
