Journal of complexity vol:19 issue:6 pages:715-729
We describe the results of a computer-based search for five and six-dimensional lattice rules of specified trigonometric degree. In this search only lattice rules that can be generated by a circulant or skew-circulant generator matrix are considered, which makes this approach significantly faster than earlier approaches. The drawback is that we do not necessarily obtain optimal lattice rules. We also present some new families of lattice rules parametrized by the trigonometric degree.