## Abstract A Menon design of order __h__^2^ is a symmetric (4__h__^2^,2__h__^2^โ__h__,__h__^2^โ__h__)โdesign. Quasiโresidual and quasiโderived designs of a Menon design have parameters 2โ(2__h__^2^โ+โ__h__,__h__^2^,__h__^2^โ__h__) and 2โ(2__h__^2^โ__h__,__h__^2^โ__h__,__h__^2^โ__h__โ1), respective
Infinite families of non-embeddable quasi-residual hadamard designs
โ Scribed by Kirsten Mackenzie-Fleming
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 285 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The existence of a (3 d+2 -2; 3 d+1 ; 3 d ); dยฟ0, Mitchell design together with the existence of a resolvable 2 -(3 d+1 ; 3 d ; (3 d -1)=2) design (i.e. designs with the parmeters of an a ne geometry design) imply the existence of a quasi-residual 2 -(2(3 d+2 -1); 2(3 d+1 ); 3 d+1 ) design D. This p
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
## Abstract The main result in this article is a method of constructing a nonโembeddable quasiโderived design from a quasiโderived design and an ฮฑโresolvable design. This method is a generalization of techniques used by van Lint and Tonchev in 14, 15 and Kageyama and Miao in 8. As applications, we