𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Two infinite families of failed symmetric designs

✍ Scribed by Marialuisa J. de Resmini; Dieter Jungnickel


Book ID
108315782
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
97 KB
Volume
261
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


An infinite family of symmetric designs
✍ Christopher J. Mitchell πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 363 KB

In this paper, using the construction method of [3], we show that if q > 2 is a prime power such that there exists an afhne plane of order q -1, then there exists a strongly divisible 2 -((q -l)(qh -l), qh-'(q -l), qh-') design for every h 2 2. We show that these quasi-residual designs are embeddabl

Two new infinite families of extremal cl
✍ J.H. Dinitz; Alan C.H. Ling πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 114 KB πŸ‘ 1 views

## Abstract In 1991, Lamken et al. [7] introduced the notion of class‐uniformly resolvable designs, CURDs. These are resolvable pairwise balanced designs PBD(__v__, __K__, Ξ») in which given any two resolution classes __C__ and __C__', for each __k__β€‰βˆˆβ€‰__K__ the number of blocks of size __k__ in __C

New infinite families of simple 5-design
✍ Spyros S Magliveras; Thane E Plambeck πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 272 KB
Some Infinite Families of Large Sets of
✍ B. Tayfeh-Rezaie πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 98 KB

A set of necessary conditions for the existence of a large set of t-designs, LS[N] (t, k, v), is N |( v&i k&i ) for i=0, 1, ..., t. We show that these conditions are sufficient for N=3, t=2, 3, or 4, and k 8.