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
Some remarks on the construction of cyclic Steiner Quadruple Systems
β Scribed by Helmut Siemon
- Book ID
- 112497325
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 621 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Siemon, H., On the existence of cyclic Steiner Quadruple Systems SQS(2p), Discrete Mathematics 97 (1991) 377-385. Subsequent to Kohler's result in [l], Satz 8, we show that strictly cyclic SQS(2p), p prime number and p = 53, 77 ( 120) exist if a certain number theoretic claim can be proved. We verif
## Abstract In this article, we investigate a block sequence of a Steiner quadruple system which contains the blocks exactly once such that the collection of all blocks together with all unions of two consecutive blocks of the sequence forms an error correcting code with minimum distance four. In p