型为g^tu带洞Mendelsohn三元系

Holey Mendelsohn Triple System of Type

文章证明了(i)对于g=2且t≡0(mod 3)型为g^tu带洞$三元系存在的必要条件也是充分的;(ii)对于g=4,型为g^tu带洞三元系存在的必要条件也是充分的.

It will be proved in this study that the necessary conditions for the existence of an HMTS of type are also sufficient for the case g=2and t≡0(mod3)that the necessary conditions for the existence of an HMTS of type g^tu are also sufficient for the case g=4.