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On covering designs with block size 5 and index 5

โœ Scribed by Ahmed M. Assaf

Book ID
105178547
Publisher
Springer
Year
1995
Tongue
English
Weight
764 KB
Volume
5
Category
Article
ISSN
0925-1022

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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

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## 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__