IDO rebind C-j to C-<RET>

Question

How to set it?

I tried

(add-hook 'ido-setup-hook
          (lambda ()
            (local-set-key (kbd "C-<RET>") 'ido-select-text)))

and

(define-key ido-common-completion-map (kbd "C-<RET>") 'ido-select-text)

Nothing worked.

EDIT:

I tried

(define-key ido-file-dir-completion-map (kbd "<C-return>") 'ido-select-text)

and

(define-key ido-common-completion-map (kbd "<C-return>") 'ido-select-text)

Not works again.

EDIT2:

Ultimatelly strange, even this not works.

(global-set-key  (kbd "<C-return>") 'ido-select-text) 

What's going on??? Actually, cua-select-rectangle is invoked regardles of my binding.

My emacs version GNU Emacs 24.5.1 (x86_64-redhat-linux-gnu, GTK+ Version 3.18.9)\n of 2016-04-11 on buildvm-25.phx2.fedoraproject.org Using in GUI mode and CUA mode.

C-h k C-<return>

Returns (in standard buffer and IDO buffer)

<C-return> runs the command cua-set-rectangle-mark, which is an
interactive autoloaded compiled Lisp function in `cua-rect.el'.

It is bound to <C-return>.

(cua-set-rectangle-mark &optional REOPEN)

Set mark and start in CUA rectangle mode.
With prefix argument, activate previous rectangle if possible.

Answer 1

Not familiar with ido, but define-key appears to be something close to what you want. The following worked as a proof-of-concept for me:

(define-key ido-common-completion-map (kbd "C-j") (lambda() 
    (interactive) (message "C-j called")))

If this isn't exactly right, change the keymap to another value listed at https://github.com/emacs-mirror/emacs/blob/1ed8ff2aa9e1aaee54a6cad38f4c9a595d6c19ed/lisp/ido.el#L206

Answer 2

Solution for this problem is following, first null CUA map bind because it overrides everything and then bind <C-return> normally to IDO map.

(define-key cua-global-keymap (kbd "<C-return>") nil)  
(define-key ido-file-dir-completion-map (kbd "<C-return>") 'ido-select-text) 

Again, thank you Realraptor for this solution.

EDIT: Previous solution works only one time after set, so its not usable, this solution works well:

(defvar custom-ido-map
    (let ((map (make-sparse-keymap)))
      (define-key map (kbd "<C-return>") 'ido-select-text)
      ;; (define-key map (kbd "<M-return>") 'ido-magic-forward-char)
      map))
  (with-eval-after-load 'ido
    (define-key ido-common-completion-map (kbd "<C-return>") 'ido-select-text)
    ;; (define-key ido-common-completion-map (kbd "<M-return>") 'ido-magic-forward-char)
    )
  (add-to-ordered-list 'emulation-mode-map-alists
                       `((cua-mode . ,custom-ido-map))
                       0)

For more info how and why it works, visit linked answer in comment thread.