𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some new bibds with k = 6 and λ = 1

✍ Scribed by R. J. R. Abel; W. H. Mills


Book ID
102878316
Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
556 KB
Volume
3
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis


v, 6 , l ) BIBDs are given for several new values of v. This reduces to 55 the number of v values for which existence of a (v, 6,l) BIBD is in doubt. A new resolvable (565,5,1) BIBD is also given.


📜 SIMILAR VOLUMES


Some new BIBDs with block size 7
✍ R. Julian R. Abel 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 83 KB

For k ! 3 the existence problem forvY 7Y k BIBDs has been completely solved, except when v 253. In this paper, 3 new direct vY 7Y k BIBD constructions are given for vY k 259Y 1Y 106Y 2Y and 253Y 2. Some features of the known 175Y 7Y 1 BIBD are also discussed. Finally, a few vY 7Y 1 BIBDs are obtaine

A few more RBIBDs with k = 5 and λ = 1
✍ Lie Zhu; Beiliang Du; Xuebin Zhang 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 547 KB

Zhu, L., B. Du and X. Zhang, A few more RBIBDs with k =5 and A = 1, Discrete Mathematics 97 (1991) 409-417. It has been shown that there exists a (u, 5, l)-RBIBD for any positive integer u = 5 (mod 20) with 147 possible exceptions. We show that such designs exist for 34 of these values.