不可约单纯三元系 B[3,6;v]的存在性

Existence of Indecomposable Simple Triple Systems B[3,6,v]

本文将证明,对所有满足条件v≥8,且v≠9的正整数v,,除去v=10,11,12,13,15与16这6个可能的例外,元重复区组的不可约三元系B[3,6;v]都存在.

It is proved in this paper that there exists an indecomposable Triplesystem B[3,6;v]without repeated triples for every v≥8,with the the exceptionv=9 and the other 6 possible exceptions v=10,11,12,13,15 and 16.