NoteCompleting the spectrum for large sets of extended directed triple systems

Extended triple systems are firstly introduced by Johnson and Mendelson (1972). The existence of the large sets of extended directed triple systems LEDTS(v) has been basically solved except possibly five orders v=95,143,167,203,215, see Liu and Kang (2009, 2010). But, the existence proof of LEDTS(12k+11) is very complicated. In this paper, we give a simple existence proof and get the existence of LEDTSs for the remaining five orders. Finally, the spectrum for LEDTSs is completely determined.