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Resolvable BIBDs with block size 8 and index 7

✍ Scribed by Steven Furino; Malcolm Greig; Ying Miao; Jianxing Yin

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 728 KB
Volume: 2
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.3180020206

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✦ Synopsis

Abstract

The necessary conditions for the existence of a resolvable BIBD RB(k,λ; v) are λ(v − 1) = 0(mod k − 1) and v = 0(mod k). In this article, it is proved that these conditions are also sufficient for k = 8 and λ = 7, with at most 36 possible exceptions. © 1994 John Wiley & Sons, Inc.

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Super-simple resolvable balanced incompl

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✍ Xiande Zhang; Gennian Ge 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index λ = 2, are that __v__ ≥ 16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. © 2006 Wiley Periodical