Construction of maximin distance Latin squares and related Latin hypercube designs
基于数论和有限域，提出三种代数方法构造极大极小距离拉丁方，并给出最小距离下界，所得设计在高维应用中优于现有方案。
Maximin distance Latin hypercube designs are widely used in computer experiments, yet their construction is challenging. Based on number theory and finite fields, we propose three algebraic methods to construct maximin distance Latin squares as special Latin hypercube designs. We develop lower bounds on their minimum distances. The resulting Latin squares and related Latin hypercube designs have larger minimum distances than existing ones, and are especially appealing for high-dimensional applications.