Creating a ctrl+tab keybinding in PuTTY

Question

I'd like to be able to map the vim commands :tabnext and :tabprev to CTRL+TAB and CTRL+SHIFT+TAB respectively. Unfortunately, I seem to be running into the problem where PuTTY eats these character combinations.

I've tried searching for information, but to no avail. I'm pretty sure this is a PuTTY thing but there doesn't seem to be any sort of help/reference area for the application.

I am curious if anyone here has any experience or suggestions for figuring this out.

@rmeador: try mapping the key combo within vim.
I have attempted to do this, but it doesn't appear like vim is getting the combo. I'm not certain if this is related to the term settings or an issue with PuTTY.