http://www.youtube.com/watch?v=pxtWzLHbYD4 <---- According to this video and the videos I have watched of Baret, the Kadowaki Special/ The Baret Choke is the rear crucifix (The Marcelo Crucifix) but with your left leg (in this instance) hooking the opponents leg from the inside and a 1 arm choke.
There is a clear transition by Baret switching from the Rear crucifix (before the slam) to the Kadowaki special (after the slam). This is assuming that what I am saying is accurate. Make sure to show shigeki and find out what he says because his word is obviously more accurate than mine.