Decomposing triples of Zpn and Z3pn into cyclic designs

Authors
Tian, Zi Hong Wei, Rui Zhong
Citation
Tian, Zi Hong et Wei, Rui Zhong, Decomposing triples of Zpn and Z3pn into cyclic designs, Acta mathematica Sinica. English series (Print) , 29(11), 2013, pp. 2111-2128
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
11
Year of publication
2013
Pages
2111 - 2128
Database
ACNP
SICI code
Abstract
In this paper, we give some decompositions of triples of Zpn or Z3pn into cyclic triple systems. New constructions of difference families are given. Some infinite classes of simple cyclic triple systems are obtained from these decompositions.