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Constructions for rotational Steiner quadruple systems
Authors:Tao Feng  Yanxun Chang  Lijun Ji
Affiliation:1. Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, People's Republic of China;2. Department of Mathematics, Suzhou University, Suzhou 215006, People's Republic of China
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
Keywords:rotational  Steiner quadruple system  optical orthogonal code  product construction  multiplier automorphism
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