Constructions of rotated lattice constellations in dimensions power of 3

摘要

In this paper, we present the constructions of rotated Z(3r-1)-lattices, where r is a positive integer, via Z-modules of the ring of the integers Z[zeta 3(r) +zeta(-1)(3r) . Our focus is on totally real number fields since the associated lattices have full diversity and then may be suitable for signal transmission over both Gaussian and Rayleigh fading channels. Lower bounds for the minimum product distances of such construction are also presented.