✦ LIBER ✦

On the existence of a PBD(30,{4,5,7,8*})

✍ Scribed by Martin Grüttmüller; Katy Streso

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 114 KB
Volume: 12
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20013

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In the present paper, we will prove by an exhaustive search method that a pairwise balanced design on 30 points with blocks of size 4,5,7 and exactly one block of size 8 does not exist. © 2004 Wiley Periodicals, Inc. J Combin Designs 12: 271–278, 2004.

📜 SIMILAR VOLUMES

The rearrangement of 4,5,6,7-tetrachloro

The rearrangement of 4,5,6,7-tetrachloro-3a,4,7,7a-tetrahydro-4,7-methanoiden-8-one

✍ P. Yates; P. Eaton 📂 Article 📅 1961 🏛 Elsevier Science 🌐 French ⚖ 792 KB

The existence of a simple 3-(28, 5, 30)

The existence of a simple 3-(28, 5, 30) design

✍ Yeow Meng Chee 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 96 KB

ChemInform Abstract: Synthesis of 6-Subs

ChemInform Abstract: Synthesis of 6-Substituted 5,6,7,8-Tetrahydropyrimido[4,5-d]pyrimidine-2,4-diones and 2-Thioxo-5,6,7,8-tetrahydropyrimido[4,5-d]pyrimidin-4-ones.

✍ A. Yu. Aksinenko; V. B. Sokolov; T. V. Goreva; T. A. Epishina; A. N. Pushin 📂 Article 📅 2010 🏛 John Wiley and Sons ⚖ 30 KB 👁 1 views

Synthesis and reaction of 5,6,7,8-tetrah

Synthesis and reaction of 5,6,7,8-tetrahydro-4H-oxazolo[4,5-c]azepin-4-ones

✍ Young Kook Koh; Ki-Hwan Bang; Hong-Seok Kim 📂 Article 📅 2001 🏛 Journal of Heterocyclic Chemistry 🌐 English ⚖ 60 KB

## Abstract The synthesis of 5,6,7,8‐tetrahydro‐4__H__‐oxazolo[4,5‐__c__]azepin‐4‐ones **5a,b** and 1,3‐benzoxazol‐4‐amines **4a,b** are described starting from 4,5,6,7‐tetrahydro‐1,3‐benzoxazol‐4‐ones. Thionation of **5a,b** followed by alkylation with ethyl bromoacetate led to the corresponding _

The molecular structure of 4a, 5, 8, 8a-

The molecular structure of 4a, 5, 8, 8a-tetrahydro-11, 14-dimethoxy-7-methyl-4a-(3-methyl-2-butenyl)-5, 8a-o-benzeno-1, 4-naphthoquinone

✍ S.K. Agarwal; R.P. Rastogi; H. Van Koningsveld; K. Goubitz; G.J. Olthof 📂 Article 📅 1980 🏛 Elsevier Science 🌐 French ⚖ 356 KB

Asymptotic results on the existence of 4

Asymptotic results on the existence of 4-RGDDs and uniform 5-GDDs

✍ Gennian Ge; Alan C. H. Ling 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB

## Abstract In this paper, we continue to investigate the existence of 4‐RGDDs and uniform 5‐GDDs. It is proved that the necessary conditions for the existence of such designs are also sufficient with a finite number of possible exceptions. As an application, the known results on the existence of u