Abstract
As an effective number theoretic method, good lattice point designs were often used to construct the uniform design. However, for a long time, properties of uniformity for good lattice point designs have not been fully investigated. In this paper, we employ wrap-around $L_2$-discrepancy as a criterion, reanalyze properties of good lattice point designs, modify the construction method, and finally obtain a series of low-discrepancy designs for specific parameters.
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