I have read similar posts with similar problems, but I think this is actually different. I downloaded the ISO image for Linux Mint 15 "Olivia" 64 bit, and the md5 sum was correct. I used the proper dd command to move the image onto a usb thumb drive and was able to boot my brand new ASUS Q200E laptop (i3 architecture) from the usb and test Mint out. After reading the release notes, I chose to install, and followed prompts, eventually choosing to do a complete replacement, rather than a dual boot with the Windows 8 already on the system. I also selected the logical volume management (LVM) option. Now, the system completely misses grub, and I can only go into the BIOS. The BIOS boot menu contains an empty list for boot options. During the boot from USB process, I had to disable secure boot in order to boot from USB. Any bright ideas? I think it must be something wrong in the BIOS still.
Thanks in advance,
ps: The administrator password is setup in my BIOS, so that I must enter it each time before going into the BIOS. Thus, when I boot the laptop, the first thing that appears is the password prompt, and then the BIOS screen appears. Also, I've tried re-installing Mint with the USB, choosing other install options, like not including LVM. When I do this, the "replace" option on the install prompt now asks if I want to replace Linux Mint with Linux Mint, as opposed to replacing Windows 8 with Linux Mint. I think this is a clue that the boot sector is being missed somehow, but I don't know how to fix it. Thanks again for any suggestions.
SOLVED: After extensive googling and help from a friend, we realized that you have to add a boot option in the BIOS manually. To do this, go to the boot menu of the BIOS, and create a boot option. The important thing is that the path to grub be correct: \EFI\linuxmint\grubx64.efi was what worked for me.