The lifting construction: A general solution for the fat strut problem
Neil J.A. Sloane, Vinay A. Vaishampayan, Sueli I. R. Costa · 2010
A cylinder anchored at two distinct points of the lattice Znis called a strut if its interior does not contain a lattice point. We address the problem of constructing struts of maximal radius in Zn. Our main result is a general construction technique, which we call the lifting construction, which produces a sequence of struts that are optimal in the limit. We also tighten a previous result of ours - an achievable lower bound on the volume of a strut. The problem is motivated by a nonlinear analog communication problem. We demonstrate, through simulation, improvements in performance that are obtained using our construction.