Constructions of full diversity $D_n$-lattices for all $n$
Robson Ricardo de Araujo, Grasiele C. Jorge · Rocky Mountain Journal of Mathematics · 2020
We construct some families of full diversity rotated Dn-lattices via ℤ-modules for any n≥3. We show that ℤ-modules known in previous works to obtain rotated ℤn-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 ℤn and Dn restricted to some conditions.