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On packing designs with block size 5 and index 4

โœ Scribed by Ahmed M. Assaf; Alan Hartman

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
695 KB
Volume
79
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

A (u, k, ,I) packing design of order u, block size k, and index I is a collection of k-element subsets, called blocks, of a u-set, V, such that every 2-subset of V occurs in at most A blocks. The packing problem is to determine the maximum number of blocks in a packing design. In this paper we solve the packing problem with k = 5, A = 4, and all positive integers v.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Ahmed M. Assaf; Alan Hartman; N. Shalaby ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB

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โœ R. Julian R. Abel; Ahmed M. Assaf; Iliya Bluskov; Malcolm Greig; Nabil Shalaby ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 246 KB ๐Ÿ‘ 1 views

## Abstract This article looks at (5,ฮป) GDDs and (__v__,5,ฮป) 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 ฮป odd, and improve the maximum number of blocks in some (__v__, 5, ฮป) packings when __v__