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The existence of symmetric block designs

✍ Scribed by H.J Ryser


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
92 KB
Volume
32
Category
Article
ISSN
0097-3165

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## 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