[ubuntu] Does 32-bit EFI limit me to 32-bit install of 12.04?

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http://ubuntuforums.org – I have an iMac 5,1 (late 2006) that has a 64-bit core2 duo CPU but EFI is 32 bit. I would like to install 12.04 LTS to dual boot with OSX 10.6.8. I have installed rEFInd. Does my EFI limit me to 32-bit ubuntu? This will be my first linux experience so I am looking for the simplest solution rather than a more complex work-around. Thanks. Steve Z (Hardware)