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Extending t-designs

โœ Scribed by W.O Alltop


Book ID
107884803
Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
550 KB
Volume
18
Category
Article
ISSN
0097-3165

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Extending symmetric designs
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Extending Large Sets oft-Designs
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A large set of disjoint S(\*; t, k, v) designs, denoted by LS(\*; t, k, v), is a partition of k-subsets of a v-set into S(\*; t, k, v) designs. In this paper, we develop some recursive methods to construct large sets of t-designs. As an application, we construct infinite families of large sets of t-

A coding theoretic approach to extending
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We introduce the study of designs in a coset of a binary code which can be held by vectors of a fixed weight. If C is a binary [2n, n, d] code with n odd and the words of weights n -1 and n + 1 hold complementary t-designs, then we show that the vectors of weight n in a coset of weight 1 also hold a

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Necessary and sufficient conditions for the extendability of residual designs of Steiner systems S ( t , t + 1, v) are studied. In particular, it is shown that a residual design with respect to a single point is uniquely extendable, and the extendability of a residual design with respect to a pair o

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