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:
t-Designs with few intersection numbers
β Scribed by Alexander Pott; Mohan Shrikhande
- Book ID
- 103058268
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 164 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
Using a Singer cycle in Desarguesian planes of order q β‘ 1 (mod 3), q a prime power, Brouwer [2] gave a construction of sets such that every line of the plane meets them in one of three possible intersection sizes. These intersection sizes x, y, and z satisfy the system of equations Brouwer claimed
## 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