## Abstract We establish the existence of non‐embeddable quasi‐derived 2‐designs with the parameters (13, 4, 3), (15, 6, 5), and (16, 6, 5). © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 364–372, 2008
New families of non-embeddable quasi-derived designs
✍ Scribed by Tariq Alraqad
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 129 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
Abstract
The main result in this article is a method of constructing a non‐embeddable quasi‐derived design from a quasi‐derived design and an α‐resolvable design. This method is a generalization of techniques used by van Lint and Tonchev in 14, 15 and Kageyama and Miao in 8. As applications, we construct several new families of non‐embeddable quasi‐derived designs. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 263–275, 2008
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described a sufficient condition for the non-embeddability of a quasi-derived design into a symmetric balanced incomplete block design. In this paper, by using the notion of incomplete designs, this criterion is changed to find certain quasi-derived designs in some special cases. Many infinite serie
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