Title
General upper bounds on the minimum size of covering designs
Abstract
Let D be a finite family of k-subsets (called blocks) of a v-set X(v). Then D is a (v, k, t) covering design or covering if every t-subset of X(v) is contained in at least one block of D. The number of blocks is the size of the covering, and the minimum size of the covering is called the covering number. In this paper we find new upper bounds on the covering numbers for several families of parameters. (C) 1999 Academic Press.
Year
DOI
Venue
1999
10.1006/jcta.1998.2927
J. Comb. Theory, Ser. A
Keywords
Field
DocType
upper bound
Discrete mathematics,Combinatorics,Covering number,Mathematics
Journal
Volume
Issue
ISSN
86
2
0097-3165
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
iliya bluskov173.88
Katherine Heinrich200.34