In this paper, a construction for 2-designs is given. A special case of this construction gives an infinite family of non-embeddable quasi-residual designs, with parameters 2&(2(3 d+1 )&2, 2(3 d ), 3 d ), where d 1. 1996 Academic Press, Inc. (i) The point set P of D has cardinality v; (ii) every
An infinite family of (simple) 6-designs
β Scribed by Donald L. Kreher
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 193 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
β¦ Synopsis
A simple 6-(22,8,60) designs is exhibited. It is then shown using Qui-rong Wu's generalization of a result of Luc Teirlinck that this design together with our 6-(14,7,4) design implies the existence of simple 6-(23 + 16m,8,4(m + I) (16m + 17)) designs for all positive integers m.
All the above mentioned designs are halvings of the complete design.
π SIMILAR VOLUMES
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.
A regular and edge-transitive graph that is not vertex-transitive is said to be semisymmetric. Every semisymmetric graph is necessarily bipartite, with the two parts having equal size and the automorphism group acting transitively on each of these two parts. A semisymmetric graph is called biprimiti
## Abstract A Menon design of order __h__^2^ is a symmetric (4__h__^2^,2__h__^2^β__h__,__h__^2^β__h__)βdesign. Quasiβresidual and quasiβderived designs of a Menon design have parameters 2β(2__h__^2^β+β__h__,__h__^2^,__h__^2^β__h__) and 2β(2__h__^2^β__h__,__h__^2^β__h__,__h__^2^β__h__β1), respective