On simple and supersimple transversal designs
β Scribed by Sven Hartmann
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 117 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Possible embeddings of transversal designs in the classical projective spaces on finite fields are characterized. 2000 Academic Press ## 1. BACKGROUND A transversal design of order or group size n, block size k, and index \*, denoted TD \* (k, n), is a triple (V, G, B), where (1) V is a set of k
We consider sets of incomplete transversal designs with block size five TD [S; u] -TD [S; n]. We show that designs exist if and only if u 2 4n, with the possible exception of 108 values of (v, n) for which existence is undecided.
A truncated transversal design TTD of type g k m 1 is a [k, k+1]-GDD of type g k m 1 in which each point on the group of size m lies only in blocks of size k+1. Thus a TTD of type g k m 1 is equivalent to a transversal design TD (k, g) having m disjoint parallel classes of blocks. We employ a new co