On sequences of projections of the cubic lattice
Antonio C. de A. Campello · 2016
In this paper we study sequences of lattices which are, up to sim-ilarity, projections of Zn+1 onto hyperplanes v⊥, with v ∈ Zn+1. We show a sufficient condition to construct sequences converging at rate O(1 / ‖v‖2/n) to integer lattices and exhibit explicit construc-tions for some important families of lattices. The problem addressed here arises from a question of communication theory.