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Paper
IPM / M / 7872 |
School of Mathematics
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Title: |
On large sets of t-designs of size four
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Author(s): |
| 1. |
G. B. Khosrovshahi
| | 2. |
R. Laue
| | 3. |
B. Tayfeh-Rezaie
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Status: |
Published
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Journal: |
Bayreuth. Math. Schr.
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Vol.: |
74
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Year: |
2005
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Pages: |
136-144
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Supported by: |
IPM
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Abstract: |
A set of well known necessary conditions for the existence of a
large set of t-designs, LS[N](t,k,v), is
N|(
) for
i=0,...,t. We investigate the existence of large sets of size
four. We take advantages of the recursive and direct constructions
to show that the trivial necessary conditions are sufficient when
N=4, t=2, 3 and k ≤ 7.
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