Some natural upper bounds for the number of blocks are given. Only a few block sets achieving the bounds except trivial ones are known. Necessary conditions for the existence of such block sets are given.
Some Bounds for the Number of Blocks II
โ Scribed by Ryuzaburou Noda
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 95 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
โฆ Synopsis
The block sets achieving the bound ฮฒ(i) with i = 2 in Proposition 0 is studied. It is proved that such block sets exist if and only if some t-designs with prescribed parameters exist (Theorem 1).
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