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Constructions for rotational Steiner quadruple systems
Author(s) -
Feng Tao,
Chang Yanxun,
Ji Lijun
Publication year - 2009
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20202
Subject(s) - mathematics , steiner system , combinatorics , automorphism , automorphism group , multiplier (economics) , order (exchange) , prime (order theory) , product (mathematics) , discrete mathematics , geometry , finance , economics , macroeconomics
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