Constructions for rotational Steiner quadruple systems | Zendy

Feng Tao | Zendy; Chang Yanxun | Zendy; Ji Lijun | Zendy

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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

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