列正交强正交阵列的构造  

Constructions of column-orthogonal strong orthogonal arrays

作　　者：包经俊 季利均 潘元瑶 Jingjun Bao;Lijun Ji;Yuanyao Pan

机构地区：[1]宁波大学数学与统计学院,宁波315211 [2]苏州大学数学科学学院,苏州215006

出　　处：《中国科学：数学》2023年第2期233-248,共16页Scientia Sinica：Mathematica

基　　金：国家自然科学基金(批准号:11871363)资助项目。

摘　　要：在计算机试验中,强正交阵列比一般的阵列具有更好的空间填充性质.强度为2+、2*、3-和3的强正交阵列可以改进低维的空间填充性质,列正交性在计算机试验中起着重要作用.本文利用差矩阵和线性码的生成矩阵构造强度为2+、2*、3-和3的列正交强正交阵列.与已知的结果相比,本文构造的列正交强正交阵列具有更多的因子数.Strong orthogonal arrays have better space-filling properties than ordinary orthogonal arrays for computer experiments. Strong orthogonal arrays of strength two plus, two star, three minus and three can improve the space-filling properties in low dimensions and column orthogonality plays a vital role in computer experiments. In this paper, we use difference matrices and generator matrices of linear codes to present several constructions of column-orthogonal strong orthogonal arrays of strength two plus, two star and three minus.Compared with the known results, our constructions can provide more factors.

关 键 词：正交阵列 差矩阵 空间填充设计 

分 类 号：O212.6[理学—概率论与数理统计]