Construction of Orthogonal Arrays without Interaction Columns

• 作者: Shan-qi PANG Ya-ping WANG Ming-yao AI
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 159-168
• 页数: 10页
• 语种: 英文

摘要

In this paper a new class of orthogonal arrays(OAs),i.e.,OAs without interaction columns,are proposed which are applicable in factor screening,interaction detection and other cases.With the tools of difference matrices,we present some general recursive methods for constructing OAs of such type.Several families of OAs with high percent saturation are constructed.In particular,for any integer λ≥3,such a two-level OA of run 4λ can always be obtained if the corresponding Hadamard matrix exists.