I had a problem with every driver except this one so here you guys go.... hope it helps...

First you need the HP driver SP23107A, Extract the files, I used my handy USB Memory Card...
Boot Knoppix

Go to the Konsole
type:

su

Install the driver:

ndiswrapper -i bcmw15.inf

check by running:

ndiswrapper -l

It should say driver and hardware present

then type:

ndiswrapper -m

Now type:

modprobe ndiswrapper

Now check with:

dmesg

If both ndiswrapper and the driver loaded your good to go, now hit the wireless activation button and the light should come on. You can now use the config scripts in the KNOPPIX menu the do the rest.

I haven't tested this with other 4306 chips, I've got a Linksys WPC54G ver. 1.2 and it also is a 4306 Chip... Stay Tuned...