## Abstract A set of trivial necessary conditions for the existence of a large set of __t__βdesigns, __LS__[N](__t,k,__Ξ½), is $N\big | {{\nu \hskip -3.1 \nu}-i \choose k-i}$ for __i__β=β0,β¦,__t__. There are two conjectures due to Hartman and Khosrovshahi which state that the trivial necessary condi
On Existence of t -Designs with Large $v $ and $\lambda $
β Scribed by Ray-Chaudhuri, D. K.; Singhi, N. M.
- Book ID
- 118197501
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1988
- Tongue
- English
- Weight
- 539 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0895-4801
- DOI
- 10.1137/0401011
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## Abstract Large sets of disjoint groupβdivisible designs with block size three and type 2^__n__^4^1^ (denoted by __LS__β(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
## 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