有序三元系超大集的进一步结果

The Further Results on Overlarge Sets of Oriented Triple Systems

本文对有序三元系超大集的存在性进行了进一步讨论,得到了v≡12(mod24),及v=3·4k·5n+4k(k≥0,n≥1),v=63·5n+1(n≥0)时,OLMTS(v)及OLDTS(v)的存在性。

In this paper, the problem of the existence for the overlarge sets of oriented triple systems has been discussed. The results has been given: if v = 12(mod24), and v = 3·4k·5n + 4k(k≥0, n≥1), v= 63· 5n +1(n≥ 0), then there exist both OLMTS(v) and OLDTS(v).