Schematic saturated orthogonal arrays obtained by using the contractive replacement method

作者：Pang, Shanqi^*; Yan, Rong; Li, Sen

来源：Communications in Statistics - Theory and Methods, 2017, 46(18): 8913-8924.

DOI：10.1080/03610926.2016.1197253

• Association scheme
• contractive replacement method
• hamming distance
• schematic orthogonal array
• 62K15
• 05B15

This paper presents a general method of constructing schematic saturated orthogonal arrays of strength two. We consider a class of mixed saturated orthogonal arrays produced from saturated symmetric orthogonal arrays by using the contractive replacement method, study the Hamming distances of the rows, construct their association schemes, and prove that they are schematic. Some examples are given to illustrate this construction method.

• 出版日期2017
• 单位河南师范大学