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An Existence Theorem for Group Divisible Designs of Large Order

✍ Scribed by Hedvig Mohácsy; D.K. Ray-Chaudhuri

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
129 KB
Volume
98
Category
Article
ISSN
0097-3165

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✦ Synopsis

The following result gives a partial answer to a question of R. M. Wilson regarding the existence of group divisible designs of large order. Let k and u be positive integers, 2 [ k [ u. Then there exists an integer m 0 =m 0 (k, u) such that there exists a group divisible design of group type m u with block size k and index one for all integer m \ m 0 if and only if

This is a generalization of the well-known result of Chowla, Erdo ˝s, and Straus on the existence of transversal designs of large order.

📜 SIMILAR VOLUMES

Existence of large sets of disjoint grou
Existence of large sets of disjoint group-divisible designs with block size three and type 2n41
✍ L. Ji 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 2 views

## Abstract Large sets of disjoint group‐divisible designs with block size three and type 2^__n__^4^1^ (denoted by __LS__ (2^__n__^4^1^)) were first studied by Schellenberg and Stinson and motivated by their connection with perfect threshold schemes. It is known that such large sets can exist only