Large sets of extended directed triple systems with even orders

For three types of triples: unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large sets are introduced. The existence of L E S T S ( υ ) and L E M T S ( υ ) were completely solved. In this paper, we shall discuss the existence problem of L E D T S ( υ ) and give the following conclusion: there exists an L E D T S ( υ ) for any even υ except υ = 4 . The existence of L E D T S ( υ ) with odd order υ will be discussed in another paper, we are working at it.