Is it possible to bind "C-)" in emacs23?

[quodlibetor]

I would really like to bind C-).

I've tried: (all of the following with both local- and global- set
key)

(local-set-key "\C-)" 'foo) ;error, invalid modifier in string
"\C-\S-0"    ;same
[C-)]          ;unbalanced parenthesis.
[C-S-0]      ; no error, but doesn't work
[C-(kbd (self-insert-command ")")]    ;totally borked
[C-(kbd ")")]     ; doesn't error, but really weird result

etc, i can't remember.

I tried entering into edmacro-mode to figure it out, and it hasn't
helped me.

Any tips seriously welcome.