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New large sets of t-designs

✍ 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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πŸ“œ SIMILAR VOLUMES


New large sets of t-designs with prescri
✍ R. Laue; G. R. Omidi; B. Tayfeh-Rezaie; A. Wassermann πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 128 KB πŸ‘ 1 views

## Abstract In this article, we investigate the existence of large sets of 3‐designs 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

A few more large sets of t-designs
✍ Yeow Meng Chee; Spyros S. Magliveras πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 176 KB πŸ‘ 1 views

We construct several new large sets of t-designs that are invariant under Frobenius groups, and discuss their consequences. These large sets give rise to further new large sets by means of known recursive constructions including an infinite family of large sets of 3 -(v, 4, Ξ») designs.

Some Infinite Families of Large Sets of
✍ B. Tayfeh-Rezaie πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 98 KB

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.

Extending Large Sets oft-Designs
✍ S. Ajoodani-Namini πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 278 KB

A large set of disjoint S(\*; t, k, v) designs, denoted by LS(\*; t, k, v), is a partition of k-subsets of a v-set into S(\*; t, k, v) designs. In this paper, we develop some recursive methods to construct large sets of t-designs. As an application, we construct infinite families of large sets of t-

Some results on the existence of large s
✍ G. B. Khosrovshahi; R. Tayfeh-Rezaie πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 96 KB πŸ‘ 1 views

## 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

New coverings of t-sets with (t + 1)-set
✍ Kari J. Nurmela; Patric R. J. Γ–stergΓ₯rd πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 434 KB πŸ‘ 1 views

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