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A family of balanced incomplete-block designs with repeated blocks on which general linear groups act

✍ Scribed by R. A. Bailey; Peter J. Cameron

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
106 KB
Volume
15
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

We give two constructions of a balanced incomplete‐block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properties of the title. © 2006 Wiley Periodicals, Inc. J Combin Designs

📜 SIMILAR VOLUMES

Further results on the maximum size of a
Further results on the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size
✍ I. Adamczak; D. L. Kreher; A. C. H. Ling; R. S. Rees 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 192 KB 👁 1 views

## Abstract Kreher and Rees 3 proved that if __h__ is the size of a hole in an incomplete balanced design of order υ and index λ having minimum block size $k \ge t+1$, then, They showed that when __t__ = 2 or 3, this bound is sharp infinitely often in that for each __h__ ≥ __t__ and each __k__ ≥ _