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Root cases of large sets of t-designs

✍ Scribed by G.B. Khosrovshahi; B. Tayfeh-Rezaie


Book ID
108315810
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
159 KB
Volume
263
Category
Article
ISSN
0012-365X

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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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## Abstract A set of trivial necessary conditions for the existence of a large set of __t__‐designs, __LS__[N](__t,k,__Ξ½), is $N\big | {{\nu \hskip -3.1 \nu}-i \choose k-i}$ for __i__ = 0,…,__t__. There are two conjectures due to Hartman and Khosrovshahi which state that the trivial necessary condi