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Packing designs with block size 5 and index 2: The case υ even

✍ Scribed by Ahmed M Assaf; Nabil Shalaby; L.P.S Singh

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
465 KB
Volume
63
Category
Article
ISSN
0097-3165

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## Abstract This article looks at (5,λ) GDDs and (__v__,5,λ) pair packing and pair covering designs. For packing designs, we solve the (4__t__,5,3) class with two possible exceptions, solve 16 open cases with λ odd, and improve the maximum number of blocks in some (__v__, 5, λ) packings when __v__

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## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index λ = 2, are that __v__ ≥ 16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. © 2006 Wiley Periodical