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Generalized Bhaskar Rao designs of block size three

✍ Scribed by Jennifer Seberry

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
340 KB
Volume
11
Category
Article
ISSN
0378-3758

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## Abstract Several new families of __c__‐Bhaskar Rao designs with block size 4 are constructed. The necessary conditions for the existence of a __c__‐BRD (Ο…,4,Ξ») are that: (1)Ξ»~min~=βˆ’Ξ»/3 ≀ __c__ ≀ Ξ» and (2a) __c__≑λ (mod 2), if Ο… > 4 or (2b) __c__≑ Ξ» (mod 4), if Ο… = 4 or (2c) __c__β‰  Ξ» βˆ’ 2, if Ο… =

Ξ±-Resolvable group divisible designs wit
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## Abstract A group divisible design __GD__(__k__,Ξ»,__t__;__tu__) is α‐resolvable if its blocks can be partitioned into classes such that each point of the design occurs in precisely Ξ± blocks in each class. The necessary conditions for the existence of such a design are Ξ»__t__(__u__β€‰βˆ’β€‰1) = __r__(__