A couple of days ago, I finally found a solution to get the Broadcom BCM4352 wireless chip in my ASUS AIO ET2322 to work under antiX.

Note: Currently, this will only work using the Debian Testing/Unstable repos. Performed under a 64-bit install of antiX 13-2 tracking Debian Testing.

sudo apt-get update
sudo apt-get install dkms (if applicable; present in antiX 13.2 after fresh install)
sudo apt-get install broadcom-sta-dkms

The current version of the broadcom-sta-dkms package from the Debian Testing repo is 6.30.223.248-3. Installation of the broadcom-sta-dkms package should fire off dkms to build and install the driver in the kernel. If this doesn't happen, then fire up a terminal emulator and:

sudo dkms build broadcom-sta-dkms/6.30.223.248-3

Substitute the appropriate version number in the above command if applicable.

If you are using a custom kernel, then the build and installation of broadcom-sta-dkms may fail. When I first installed the broadcom-sta-dkms package, I was using antiX custom kernel 3.19.1 and the build and installation failed. If installation fails, try using the latest available kernel, currently 3.16.0-4, from the Debian Testing/Unstable repos and try the above dkms build command.

If you want to build and install broadcom-sta-dkms in more than one kernel, from a terminal emulator enter:

sudo dkms build broadcom-sta-dkms/6.30.223.248-3 -k applicable-kernel-version

Again, substitute the appropriate version number for broadcom-sta-dkms in the above command if applicable.