Infinite families of non‐embeddable quasi‐residual Menon designs |
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| Authors: | Tariq Alraqad Mohan Shrikhande |
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| Institution: | Department of Mathematics, Central Michigan University, Mt. Pleasant, MI 48859, USA |
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| Abstract: | A Menon design of order h2 is a symmetric (4h2,2h2‐h,h2‐h)‐design. Quasi‐residual and quasi‐derived designs of a Menon design have parameters 2‐(2h2 + h,h2,h2‐h) and 2‐(2h2‐h,h2‐h,h2‐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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| Keywords: | quasi‐residual design Menon design regular Hadamard matrix |
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