Good find: This is indeed the best place here to post this request.

The first thing to entertain is the possibility that such codes might not exist.

I went to the SMART Technologies website. The search engine gave no response to 4084, so ? ? ?

What kind of control system are you trying to use to control the screen? What's the actual full model number of the screen?

I've checked the files here on this site; nothing. Same for URC and RTI databases.

I think the first thing to do is to contact the company. It might be hard to find someone there who comprehends the problem, especially if these guys are screen fabricators and they farmed out the IR control, and/or did so years ago.

There's another approach, which assumes that the commands, if found, actually work.

Every set of IR codes I've seen is part of a set of 256 codes. Your remote uses two or three of such a set of codes. Any of us here who program remotes could find a way, using software available on the site, to generate the other codes of the set so that you could try them out.

Respond here to arrange that. I could do it, though I'm quite busy right now, as could others. There would of course be a charge. Also you'd have to be using a brand of control that we can program. For instance, I don't do Crestron, though I do RTI and URC. Actually I'd prefer to do it using an old Pronto, but if you're in Uruguay as your email address implies, that could make things a bit cumbersome. In that case this would best be done by email.