正交阵列与覆盖设计(B)

Orthogonal Arrays and Covering Design

文献［１］给出了一类正交设计的代数结构，引入了覆盖设计、分离度等概念，并证明了一类正交设计的若干最大覆盖性质。在文献［１］的基础上，通过对覆盖设计典型问题的研究，深入讨论了正交阵列的覆盖性质，并给出了在一定条件下最小正交覆盖设计的存在性及构造方法的证明。

The algebraic structure of orthogonal design is given. The covering design and degree of separation are introduced, and the properties of greatest covering for a class of orthogonal designs are proved.Based on the papers,The typical case of covering designs and covering quality of orthogonal arrays are discussed.Lastly,it a have proved that existence of lowest orthogonal covering design and that it's construction method is gived.