A construction for Steiner 3-designs
β Scribed by John L Blanchard
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 277 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
This paper gives some recursive constructions for cyclic 3-designs. Using these constructions we improve Grannell and Griggs's construction for cyclic Steiner quadruple systems, and many known recursive constructions for cyclic Steiner quadruple systems are unified. Finally, some new infinite famili
## Abstract A method of constructing resolvable nested 3βdesigns from an affine resolvable 3βdesign is proposed with one example. Β© 2004 Wiley Periodicals, Inc.
A t-wise balanced design (tBD) of type t-vY KY ! is a pair XY Bwhere X is a velement set of points and B is a collection of subsets of X called blocks with the property that the size of every block is in K and every t-element subset of X is contained in exactly ! blocks. If K is a set of positive in
## Abstract A direct construction for rotational Steiner quadruple systems of order __p__+ 1 having a nontrivial multiplier automorphism is presented, where __p__β‘13 (mod24) is a prime. We also give two improved product constructions. By these constructions, the known existence results of rotationa