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Infinite families of non-embeddable quasi-residual Menon designs

✍ Scribed by Tariq Alraqad; Mohan Shrikhande

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
112 KB
Volume
17
Category
Article
ISSN
1063-8539

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✦ Synopsis

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), respectively. In this article, regular Hadamard matrices are used to construct non‐embeddable quasi‐residual and quasi‐derived Menon designs. As applications, we construct the first two new infinite families of non‐embeddable quasi‐residual and quasi‐derived Menon designs. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 53–62, 2009

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