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Constructions for cyclic 3-designs and improved results on cyclic Steiner quadruple systems

✍ Scribed by Tao Feng; Yanxun Chang


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
229 KB
Volume
19
Category
Article
ISSN
1063-8539

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✦ Synopsis


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.