A parallel search for good lattice points using LLL-spectral tests

We present results from an extensive parallel search for rank-1 lattice rules using the LLL-spectral test with a new normalization strategy which is proposed in K. Entacher et al. [Monte Carlo Methods Appl. 10(3–4) (2004) 341–366]. We introduce the main concepts concerning lattice rules and the spectral test and motivate the new normalization strategy for this test. The concepts for parallelization are explained and some results conclude the article.