Simple Proof of the Non-existence of Some Affine Resolvable SRGD Designs

被引：0

作者：

Kadowaki, Satoru ^{[1
]}

Kageyama, Sanpei ^{[2
]}

机构：

[1] Matsue Coll, Natl Inst Technol, Dept Sci, Matsue, Shimane, Japan

[2] Hiroshima Univ, Higashihiroshima, Japan

来源：

STATISTICS AND APPLICATIONS | 2020年 / 18卷 / 02期

关键词：

Affine resolvability; Resolvability; PB design; SRGD design;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The existence of resolvable and affine resolvable block designs has been discussed in the literature (cf. Clatworthy (1973), Raghavarao (1988)). Recently, a necessary condition for the existence of a certain resolvable pairwise balanced design is provided by Kadowaki and Kageyama (2020). In this paper, through the necessary condition, we can provide a simple proof of the non-existence result of some affine resolvable SRGD design, rather than by the usual methods in combinatorics.

引用

页码：31 / 34

页数：4

共 6 条

[1]

Clatworthy W. H., 1973, NBS APPL MATH SERIES, V63

[2]

Colbourn C. J., 2007, HDB COMBINATORIAL DE, P231

[3]

Kadowaki S., 2020, INT J THEORETICAL AP

[4] Existence of affine a-resolvable PBIB designs with some constructions (vol 39, pg 293, 2009) [J].

Kadowaki, Satoru ;

Kageyama, Sanpei .

HIROSHIMA MATHEMATICAL JOURNAL, 2010, 40 (02) :271-271

[5] Existence of affine α-resolvable PBIB designs with some constructions [J].

Kadowaki, Satoru ;

Kageyama, Sanpei .

HIROSHIMA MATHEMATICAL JOURNAL, 2009, 39 (02) :293-326

[6]

Raghavarao D., 1988, CONSTRUCTIONS COMBIN

← 1 →