D-optimal designs and group divisible designs

被引：5

作者：

Tamura, Hiroki ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2006年 / 14卷 / 06期

关键词：

D-optimal design; divisible design; divisible difference set; Bruck-Ryser theorem;

D O I：

10.1002/jcd.20103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain new conditions on the existence of a square matrix whose Gram matrix has a block structure with certain properties, including D-optimal designs of order n = 3 (mod 4), and investigate relations to group divisible designs. We also find a matrix with large determinant for n = 39. (C) 2006 Wiley Periodicals, Inc.

引用

页码：451 / 462

页数：12

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