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Modified group divisible designs with block size 4 and λ = 1

✍ Scribed by Ahmed M. Assaf; Ruizhong Wei


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
446 KB
Volume
195
Category
Article
ISSN
0012-365X

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✦ Synopsis


In this paper it is shown that the MGD[4, 1, m, mn] exist when (m -1 )(n -1 ) -1 (mod 3) and n,m>~4 with some possible exceptions.


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## Abstract A group divisible design __GD__(__k__,λ,__t__;__tu__) is α‐resolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely α blocks in each class. The necessary conditions for the existence of such a design are λ__t__(__u__ − 1) = __r__(__