Mainly I happen to know that Toshiba uses NEC1 protocol. There were some more subtle hints, so I would have guessed right even if you hadn't said Toshiba, but that made it easy.

I also know that most models of Toshiba TV don't have discrete On or Off commands. But newer ones might, so I assumed the info you put in the top post of this thread was correct and aplies to the model you have.