## 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
Some characterizations of quasi-symmetric designs with a spread
β Scribed by S. S. Sane; M. S. Shrikhande
- Book ID
- 105173990
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 633 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0925-1022
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π SIMILAR VOLUMES
Pawale, R.M. and S.S. Sane, A short p,oof of a conjecture on quasi-symmetric 2-designs, Discrete Mathematics 96 (1991) 71-74. It was conjettured by Sane and M.S. Shrikhande that the only nontrivial quasi-symmetric 3-design with the smaller block intersection number one is either the Witt 4-(23, 7,
Jungnickel and Tonchev conjectured in [4] that if a quasi-symmetric design D is an s-fold quasi-multiple of a symmetric (v,k, A) design with (k, (sl)A) = 1, then D is a multiple. We prove this conjecture under any one of the conditions: s 5 7, k -1 is prime, or the design D is a 3-design. It is show