Large sets of extended directed triple systems with odd orders

For three types of triples, unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large set are introduced. The spectrum of LEDTS(v)LEDTS(v) for even vv has been given in our paper (Liu and Kang (2009) [9]). In this paper, we shall discuss the existence problem of LEDTS(v)LEDTS(v) for odd vv and give the almost complete conclusion: there exists an LEDTS(v)LEDTS(v) for any positive integer v≠4v≠4 except possible v=95,143,167,203,215v=95,143,167,203,215.