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Some Bounds for the Distribution Numbers of an Association Scheme

✍ Scribed by Bier, Thomas; Delsarte, Philippe

Book ID
122017156
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
366 KB
Volume
9
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES

Some Bounds for the Number of Blocks
Some Bounds for the Number of Blocks
✍ Ryuzaburou Noda πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 65 KB

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
Some Bounds for the Number of Blocks II
✍ Ryuzaburou Noda πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 95 KB

The block sets achieving the bound Ξ²(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).