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New type of block design

✍ Scribed by N. S. Mendelsohn; M. Liang


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
186 KB
Volume
11
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis


We are already familiar with ðv v; k; Þ-difference sets and ðv v; k; Þ-designs. In this paper, we will introduce a new class of difference sets and designs: ðv v; k; ½ 1 ; 2 ; . . . ; m Þdifference sets and ðv v; k; ½ 1 ; 2 ; . . . ; m Þ-designs. We will mainly study designs with a relationship we call -equivalence and use them to produce other designs. Some existence or nonexistence theorems will be given.


📜 SIMILAR VOLUMES


Design and Synthesis of Polypyrazolyl Co
✍ Sheng-Hui Li; Hai-Ping Huang; Shu-Yan Yu; Xian-Ping Li 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 72 KB 👁 1 views

## Abstract The design and synthesis of novel polypyrazolyl aromatic bridging ligands 1,3,5‐tris(3,5‐dimethyl‐1__H__‐pyra‐ zol‐4‐yl)benzene and 2,4,6‐tris(4‐(3,5‐dimethyl‐1__H__‐pyrazol‐4‐yl)phenyl)‐1,3,5‐triazine from simple starting materials mesitylene and p‐tolunitrile were reported.

New Designs with Block Size 7
✍ Zvonimir Janko; Vladimir D Tonchev 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 148 KB

An imprimitive permutation group of order 4200 is used for the construction of a 2-(175, 7, 1) design. The design yields also a group divisible design 7&GDD and a generalized Bhaskar Rao design GBRD(25, 100, 28, 7, 7; Z 7 ).