𝔖 Bobbio Scriptorium
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On resolvable designs S3(3; 4, v)

✍ Scribed by Dieter Jungnickel; Scott A Vanstone


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
226 KB
Volume
43
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


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## Abstract A method of constructing resolvable nested 3‐designs from an affine resolvable 3‐design is proposed with one example. Β© 2004 Wiley Periodicals, Inc.

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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

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## Abstract In this article, we settle a problem which originated in 4 regarding the existence of resolvable (__K__~4~β€‰βˆ’β€‰__e__)‐design. We solve the problem with two possible exceptions. Β© 2007 Wiley Periodicals, Inc. J Combin Designs 15: 502–510, 2007

Super-simple resolvable balanced incompl
✍ Gennian Ge; C. W. H. Lam πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 124 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with __k__ = 4 and λ = 3, are that __v__ β‰₯ 8 and __v__ ≑ 0 mod 4. These conditions are shown to be sufficient except for __v__ = 12. Β© 2003 Wiley Periodicals, Inc.

The existence of simple S3(3, 4, v)
✍ K. Phelps; D.R. Stinson; S.A. Vanstone πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 214 KB

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