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@article{Cools2001ThreeAF, title={Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree}, author={Ronald Cools and James N. Lyness}, journal={Math. Comput.}, year={2001}, volume={70}, pages={1549-1567} }

- Published 2001 in Math. Comput.
DOI:10.1090/S0025-5718-01-01326-6

A systematic search for optimal lattice rules of specified trigonometric degree d over the hypercube [0, 1)s has been undertaken. The search is restricted to a population K(s, δ) of lattice rules Q(Λ). This includes those where the dual lattice Λ⊥ may be generated by s points h for each of which |h| = δ = d+ 1. The underlying theory, which suggests that such a restriction might be helpful, is presented. The general character of the search is described, and, for s = 3, d ≤ 29 and s = 4, d ≤ 23… CONTINUE READING

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