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Constructions for rotational Steiner quadruple systems

✍ Scribed by Tao Feng; Yanxun Chang; Lijun Ji

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 167 KB
Volume: 17
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20202

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✦ Synopsis

Abstract

A direct construction for rotational Steiner quadruple systems of order p+ 1 having a nontrivial multiplier automorphism is presented, where p≡13 (mod24) is a prime. We also give two improved product constructions. By these constructions, the known existence results of rotational Steiner quadruple systems are extended. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 353–368, 2009

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