The existence of symmetric block designs
β Scribed by H.J Ryser
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 92 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
symmetric designs with parameters (105, 40, 15) was shown.
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.
## Abstract The following results for proper quasiβsymmetric designs with nonβzero intersection numbers __x__,__y__ and Ξ»β>β1 are proved. Let __D__ be a quasiβsymmetric design with __z__β=β__y__βββ__x__ and __v__ββ₯β2__k__. If __x__ββ₯β1β+β__z__β+β__z__^3^ then Ξ»β<β__x__β+β1β+β__z__β+β__z__^3^. Let