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.
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页码：519 / 539
页数：21
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