## Abstract A method of constructing resolvable nested 3βdesigns from an affine resolvable 3βdesign is proposed with one example. Β© 2004 Wiley Periodicals, Inc.
On resolvable designs S3(3; 4, v)
β Scribed by Dieter Jungnickel; Scott A Vanstone
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 226 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Dedicated to Professor Haim Hanani on the occasion of his 75th birthday
In this paper, we present new constructions for resolvable and near resolvable (v, 3, 2)-BIBDs. These constructions use balanced tournament designs and odd balanced tournament designs. We then use balanced tournament designs with almost orthogonal resolutions and odd balanced tournament designs with
## Abstract In this article, we settle a problem which originated in 4 regarding the existence of resolvable (__K__~4~βββ__e__)βdesign. We solve the problem with two possible exceptions. Β© 2007 Wiley Periodicals, Inc. J Combin Designs 15: 502β510, 2007
## Abstract The necessary conditions for the existence of a superβsimple resolvable balanced incomplete block design on __v__ points with __k__β=β4 and Ξ»β=β3, are that __v__ββ₯β8 and __v__ββ‘β0βmodβ4. These conditions are shown to be sufficient except for __v__β=β12. Β© 2003 Wiley Periodicals, Inc.
It has been known for some time that an Ss(3, 4, v) exists iff v is even. The constructions which prove this result, in general, give designs having repeated blocks. Recently, it was shown that a simple Ss(3, 4, v) exists if v is even and v 3.4 (mod 12). In this paper we give an elementary proof of