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- W2008697975 abstract "A(v, k, t) covering design, or covering, is a family of k-subnets, called blocks, chosen from a v-set, such that each t-subnet is contained in at least one of the blocks. The number of blocks is the covering's size, and the minimum size of such a covering is denoted by C(v,k,t). This paper gives three new methods for constructing good coverings; a greedy algorithm similar to Conway and Sloane's algorithm for lexicographic codes [6], and two methods that synthesize new coverings from preexisting ones. Using these new methods, together with results in the literature, we build tables of upper bounds on C(v,k,t) for v ⩽ 32, k ⩽ 16, and t ⩽ 8. © 1995 John Wiley & Sons, Inc." @default.
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- W2008697975 date "1995-01-01" @default.
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- W2008697975 title "New constructions for covering designs" @default.
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- W2008697975 doi "https://doi.org/10.1002/jcd.3180030404" @default.
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