My Lenovo T440p has just arrived in my house. And this Laptop use UEFI and a secure boot to prevent some security problems. I have installed the latest Ubuntu 14.04 LTS 64bit version just to assure you that the installation is possible. I don't know if you could install Ubuntu 12.04 as for me, it does not support the UEFI frame.
if you windows 8 have 4 partions like me, you could proceed the installation like me.
1 Disable in BIOS the Secure Boot. And shrink some space for Ubuntu, do not format it.
2 Make a U disk boot version of Ubuntu 14.04 LTS with the help of UltraISO for example.
3 Change the order of boot by taken first the U disk, and proceed the process of installation. if you chose the NVidia GT730M like me, maybe you should modify the first item during U disk boot:
click 'e' to edit the command line for Install Ubuntu when you run into the
Try Ubuntu ....
install Ubuntu
Windows 8 boot loader ...
and change the "quiet splash" to "nomodeset"
(do not type the quote mark). To prevent the black waiting screen . LOL. Click Ctrl + x to proceed.
4 You can enjoy the environment of Ubuntu 14.04 LTS. But, for me, there is still some problem with the shutdown option, Ubuntu can not shut down correctly due to some Wifi driver (Intel things).
Regards