随着科技的快速发展，计算机试验被越来越广泛地应用在各领域中。计算机试验的设计与分析已成为当今试验设计方向的研究热点之一。计算机试验通常没有误差，希望设计具有优良的空间填充性质。许多不同的最优空间填充准则，如正交性、均匀性、低维分层性、最大最小距离准则、均匀投影准则等因此被提出和研究，但仍有许多未解决的问题和未探索的课题。本项目拟对其中若干最优空间填充准则的理论性质和相应空间填充设计的构造方法展开研究，主要包括：（1）正交性、均匀投影准则和最大最小距离准则的关系；（2）最大最小距离正交表和强正交表的理论和构造方法；（3）均匀投影设计的构造方法及应用。预期通过本项目的研究，能得到空间填充设计的若干新理论和构造方法，以及一系列可供实际试验者使用的优良空间填充设计表。

With the rapid development of science and technology, computer experiments have been more and more extensively applied in various fields. The design and analysis of computer experiments has now become a research hotspot in the area of experimental designs. Typically, there is no random error in a computer experiment, designs with good space-filling properties are favored. Therefore, many different optimal space-filling criteria, such as orthogonality, uniformity, low-dimensional stratification property, maximin distance criterion and uniform projection criterion, have been proposed and studied, yet there are still a lot of unsolved problems and unexplored subjects. This project aims to investigate the theoretical properties of some of the above optimal space-filling criteria and the construction methods of related space-filling designs, mainly including: (1) the connections among the orthogonality criterion, uniform projection criterion and maximin distance criterion; (2) theories and construction methods of maximin distance orthogonal arrays and strong orthogonal arrays; (3) construction methods and applications of uniform projection designs. By this project, we expect to develop several novel theories and construction methods of space-filling designs, as well as a series of good space-filling design tables that can be used by practical experimenters.