Group divisible designs with block size 4 and type gum1

被引：12

作者：

Forbes, A. D. ^{[1
]}

Forbes, K. A. ^{[2
]}

机构：

[1] Open Univ, Sch Math & Stat, Walton Hall, Milton Keynes MK7 6AA, Bucks, England

[2] Univ Kingston, Res Business & Innovat, Kingston Upon Thames KT1 2EE, Surrey, England

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2018年 / 26卷 / 11期

关键词：

double group divisible design; group divisible design; GRAPH; HGDDS;

D O I：

10.1002/jcd.21607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Building upon the work of Wei and Ge (Designs, Codes, and Cryptography 74, 2015), we extend the range of positive integer parameters g, u, and m for which group divisible designs with block size 4 and type gum1 are known to exist. In particular, we show that the necessary conditions for the existence of these designs when m>0 and mg are sufficient in the following cases: , g=2 with one exception, 2(6)5(1), g=10, and g=11.

引用

页码：519 / 539

页数：21

共 47 条

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DISCRETE MATHEMATICS, 2014, 329 : 42 - 68
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[40] Uniform Group Divisible Designs with Block Sizes Three and n
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Graphs and Combinatorics, 2002, 18 : 421 - 445

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