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A Class of 2-(3n7, 3n−17, (3n−17−1)/2) Designs

✍ Scribed by Vladimir D. Tonchev

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

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✦ Synopsis

Abstract

Generalized Hadamard matrices are used for the construction of a class of quasi‐residual nonresolvable BIBD's with parameters $2\hbox{-}(3^{n}7, 3^{n-1}7, (3^{n-1}7-1)/2), n\ge 2$. The designs are not embeddable as residual designs into symmetric designs if n is even. The construction yields many nonisomorphic designs for every given n ≥ 2, including more than 10^17^ nonisomorphic 2‐(63,21,10) designs. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 460–464, 2007

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