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Decomposing triples of mathbb{Z}_{p^n } and mathbb{Z}_{3p^n } into cyclic designs |
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| Authors: | Zi Hong Tian Rui Zhong Wei |
| Affiliation: | 1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, P. R. China 2. Department of Computer Science, Lakehead University, Thunder Bay, Ontario, P7B 5E1, Canada |
| Abstract: | In this paper, we give some decompositions of triples of $mathbb{Z}_{p^n } $ or $mathbb{Z}_{3p^n } $ into cyclic triple systems. New constructions of difference families are given. Some infinite classes of simple cyclic triple systems are obtained from these decompositions. |
| Keywords: | Decomposition cyclic designs triple systems simple designs difference families |
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