A fast Fourier transform method for computing the weight enumerator polynomial and trigonometric degree of lattice rules

A fast Fourier transform method for computing the weight enumerator polynomial and trigonometric degree of lattice rules is introduced

Article electronically published on March 13, 2006 FIVE-DIMENSIONAL K-OPTIMAL LATTICE RULES

Abstract. A major search program is described that has been used to determine a set of five-dimensional K-optimal lattice rules of enhanced trigonometric degrees up to 12. The program involved a distributed search, in which approximately 190 CPU-years were shared between more than 1,400 computers in many parts of the world. 1