Securing power off menu options when phone screen is locked or customizing power-off menu options?

I am using Google Nexus 5 with stock 4.4 KitKat. When the phone is in locked state (locked with a standard PIN code, password or pattern) and we long press power button, we get the power-off menu with options like Power-Off, Flight mode and Sound options (Mute, Vibrate and Sound) I was wondering that whether we could secure/disable the power-off and flight mode option if the phone is locked state or is there any way to customize these menu options? I looked in one of such question but didn't get the answer: https://android.stackexchange.com/questions/37512/disable-power-off-menu-when-screen-is-locked