FAH provides a V7 client installer for Debian / Mint / Ubuntu / RedHat / CentOS / Fedora. Installation on other distros may or may not be easy but if you can offer help to others, they would appreciate it.
Can you please tell us what Linux version you are using? Also, please post the initial section of the log which contains your system details and F@H configuration.
Also, I have moved your thread to a more appropriate forum.
ETA:
Now ↞ Very Soon ↔ Soon ↔ Soon-ish ↔ Not Soon ↠ End Of Time
Hardware configuration: Intel i7-4770K @ 4.5 GHz, 16 GB DDR3-2133 Corsair Vengence (black/red), EVGA GTX 760 @ 1200 MHz, on an Asus Maximus VI Hero MB (black/red), in a blacked out Antec P280 Tower, with a Xigmatek Night Hawk (black) HSF, Seasonic 760w Platinum (black case, sleeves, wires), 4 SilenX 120mm Case fans with silicon fan gaskets and silicon mounts (all black), a 512GB Samsung SSD (black), and a 2TB Black Western Digital HD (silver/black).
Back when the a3 SMP core for linux was released, a 64 bit arch (and OS) was required for SMP folding. It is unlikely they ever made a 32 bit version. Both of the a3 files are dated 2011, so it's unlikely they changed anything since then.
Some additional background information that may or may not interest you:
Do you run a 32-bit OS because your hardware is limited or out of convenience?
The Windows version of FahCore_a3 is 32-bit. Back in 2011, a significant number of Donors had 32-bit Windows systems. Virtually all Linux users had "big" systems with 64-bit hardware although some were running a 32-bit OS. Upgrading to a 64-bit OS was considered a pretty simple process.
As 7im suggests, it's not likely to change. In fact, we get requests for a 64-bit version of FahCore_xx for Windows because people mistakenly believe that would give Windows a major speed improvement. In fact, bigadv assignments (FahCore_a5) needs access to more memory than a 32-bit FahCore can accommodate, which is one reason bigadv is limited to Linux.