摘要
A Mendelsohn triple system on a set X is a pair(X, B), where B is a collection of cyclically ordered triples of distinct elements from X such that each ordered pair of distinct elements from X is covered by a unique triple from B. (Here the cyclic triples (x, y, z ), (y, z, x ) and (z, x, y ) are considered equal, and cover the three pairs (x, y), (y, z)and (z, x). ) If |X|=v, this system is denoted by MTS(v). It is well known that an MTS(v)does exist if and only if v≡0, 1(mod 3), v≠6 (cf. [1]).
