科研之友
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摘要
Motivated by constructing cyclic simple designs, we consider how to decomposing all the triples of Z(nu) into cyclic triple systems. Furthermore, we define a large set of cyclic triple systems to be a decomposition of triples of Z(nu) into indecomposable cyclic designs. Constructions of decompositions and large sets are given. Some infinite classes of decompositions and large sets are obtained. Large sets of small nu with odd nu < 97 are also given. As an application, the results are used to construct cyclic simple triple systems.
- 出版日期2010-2-28
- 单位河北师范大学
