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High order intersection numbers of t-designs

✍ Scribed by Tran van Trung; Qiu-rong Wu; Dale M. Mesner

Book ID
104340215
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
416 KB
Volume
56
Category
Article
ISSN
0378-3758

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we present two generalizations of the results on the intersection numbers of tdesigns: the first is related to a result of Ray-Chaudhuri and Wilson (Osaka J. Math. 12 (1975) 737-744) and the second to that of Mendelsohn (in:

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Quasi-symmetric designs with fixed diffe
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✍ Rajendra M. Pawale πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 112 KB

## Abstract The following results for proper quasi‐symmetric designs with non‐zero intersection numbers __x__,__y__ and λ > 1 are proved. Let __D__ be a quasi‐symmetric design with __z__ = __y__β€‰βˆ’β€‰__x__ and __v__ β‰₯ 2__k__. If __x__ β‰₯ 1 + __z__ + __z__^3^ then λ < __x__ + 1 + __z__ + __z__^3^. Let