摘要
In this paper, we give some decompositions of triples of Zp^n or Z3p^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.
In this paper, we give some decompositions of triples of Zp^n or Z3p^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.
基金
supported by National Natural Science Foundation of China(Grant Nos.11071056 and 10971051)
supported by Natural Science and Engineering Research Council of Canada(Grant No.239135-06)