Thanks. I tryed to edit /etc/ssh/sshd_config and found that it is either empty or does not exist. In emacs i just get a blank screen. So maybe I don't even have ssh on this computer? I did a FC3 desktop installation.
Do you have openssh-server installed?
$ rpm -qa 'openssh*'
It sounds a bit strange that you should have sshd alert messages in your logs if you're not running an ssh server.
See also what's listening on your ssh port: # netstat -nalp | grep :22
3. Consider turning off password authentication altogether and using certificates instead.
I will look into this. As far as I can see, I would need to purchase a certificate?
No, you generate them yourself.
There's an introduction at: http://www.everything2.com/index.pl?node=OpenSSH
Paul.