Constructions for cyclic 3‐designs and improved results on cyclic Steiner quadruple systems |
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| Authors: | Tao Feng Yanxun Chang |
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| Affiliation: | Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, People's Republic of China |
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| Abstract: | This paper gives some recursive constructions for cyclic 3‐designs. Using these constructions we improve Grannell and Griggs's construction for cyclic Steiner quadruple systems, and many known recursive constructions for cyclic Steiner quadruple systems are unified. Finally, some new infinite families of cyclic Steiner quadruple systems are obtained. © 2010 Wiley Periodicals, Inc. J Combin Designs 19:178‐201, 2011 |
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| Keywords: | 3‐design cyclic Steiner quadruple system s‐fan design H design |
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