## Abstract In this article, we investigate the existence of large sets of 3βdesigns of prime sizes with prescribed groups of automorphisms PSL(2,__q__) and PGL(2,__q__) for __q__ < 60. We also construct some new interesting large sets by the use of the computer program DISCRETA. The results obtain
New large sets of t-designs
β Scribed by Reinhard Laue; Spyros S. Magliveras; Alfred Wassermann
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 170 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1063-8539
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π SIMILAR VOLUMES
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A set of necessary conditions for the existence of a large set of t-designs, LS[N] (t, k, v), is N |( v&i k&i ) for i=0, 1, ..., t. We show that these conditions are sufficient for N=3, t=2, 3, or 4, and k 8.
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The minimum number of k-subsets out of a v-set such that each t-set is contained in at least one k-set is denoted by C(v, k, t). In this article, a computer search for finding good such covering designs, leading to new upper bounds on C(v, k, t), is considered. The search is facilitated by predeterm