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An Infinite Family of Non-embeddable Quasi-Residual Designs withk<v/2

✍ Scribed by Kirsten Mackenzie-Fleming

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
185 KB
Volume
74
Category
Article
ISSN
0097-3165

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✦ Synopsis

In this paper, a construction for 2-designs is given. A special case of this construction gives an infinite family of non-embeddable quasi-residual designs, with parameters 2&(2(3 d+1 )&2, 2(3 d ), 3 d ), where d 1.

1996 Academic Press, Inc.

(i) The point set P of D has cardinality v;

(ii) every block B # B is incident with exactly k points; (iii) every t distinct points are together incident with exactly * blocks.

📜 SIMILAR VOLUMES

Infinite families of non-embeddable quas
Infinite families of non-embeddable quasi-residual Menon designs
✍ Tariq Alraqad; Mohan Shrikhande 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB 👁 1 views

## Abstract A Menon design of order __h__^2^ is a symmetric (4__h__^2^,2__h__^2^‐__h__,__h__^2^‐__h__)‐design. Quasi‐residual and quasi‐derived designs of a Menon design have parameters 2‐(2__h__^2^ + __h__,__h__^2^,__h__^2^‐__h__) and 2‐(2__h__^2^‐__h__,__h__^2^‐__h__,__h__^2^‐__h__‐1), respective