Decomposing triples of Zp Delta and Z3p Delta into cyclic designs

Decomposing triples of Zp Delta and Z3p Delta into cyclic designs

In this paper, we give some decompositions of triples of Zp Delta or Z3p Delta into cyclic triple systems. New constructions of difference families are given. Some infinite classes of simple cyclic triple systems are obtained from these decompositions.

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Veröffentlicht in:Acta mathematica Sinica. English series 2013-11, Vol.29 (11), p.2111-2128
Hauptverfasser: Tian, Zi Hong, Wei, Rui Zhong
Format: Artikel
Sprache:eng
Schlagworte:
Construction
Decomposition
Design engineering
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Beschreibung
Zusammenfassung:In this paper, we give some decompositions of triples of Zp Delta or Z3p Delta into cyclic triple systems. New constructions of difference families are given. Some infinite classes of simple cyclic triple systems are obtained from these decompositions.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2392-9