𝔖 Bobbio Scriptorium
✦   LIBER   ✦

t-Designs with few intersection numbers

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


High order intersection numbers of t-des
✍ Tran van Trung; Qiu-rong Wu; Dale M. Mesner πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 416 KB

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:

Sets with few Intersection Numbers from
✍ J. Coykendall; J. Dover πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 116 KB

Using a Singer cycle in Desarguesian planes of order q ≑ 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

Quasi-symmetric designs with fixed diffe
✍ 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