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An improved product construction of rotational Steiner quadruple systems

✍ Scribed by L. Ji; L. Zhu

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
116 KB
Volume
10
Category
Article
ISSN
1063-8539

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✦ Synopsis

Abstract

An improved product construction is presented for rotational Steiner quadruple systems. Direct constructions are also provided for small orders. It is known that the existence of a rotational Steiner quadruple system of order Ο…+1 implies the existence of an optimal optical orthogonal code of length Ο… with weight four and index two. New infinite families of orders are also obtained for both rotational Steiner quadruple systems and optimal optical orthogonal codes. Β© 2002 Wiley Periodicals, Inc. J Combin Designs 10: 433–443, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/jcd.10025

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