CONSTRUCTIONS OF FULL DIVERSITY D-n-LATTICES FOR ALL n

We construct some families of full diversity rotated D-n-lattices via Z-modules for any n >= 3. We show that Z-modules known in previous works to obtain rotated Z(n)-lattices with n an odd integer are ideals and we find a sufficient condition for such ideals to be principal ideals. We also present bounds and formulas for the minimum product distance of Z(n) and D-n restricted to some conditions.