A0195
Title: Schematic array and its modification
Authors: Yu Tang - Soochow University (China) [presenting]
Abstract: The association scheme was first introduced by statisticians in connection with the design of experiments and has been proven very useful in many fields, including permutation groups, graphs, and coding theory. An array is called a schematic if it runs from an association scheme concerning distance. Schematic arrays, especially schematic orthogonal arrays, have been ideal tools for designing experiments and generating software test suites. However, the definition of the original schematic array is too demanding. It requires the relationship between any two distinct rows and overemphasizes the single-row property. This drawback dramatically limits the existence of results on schematic arrays. The original conditions of the association scheme are modified, and the concept of the revised schematic array is proposed. The rationality of the revised definition is further elaborated. Finally, Two examples of revised schematic arrays are also provided, including three-level mirror-symmetric orthogonal arrays and Latin hypercube designs.
