connect by ssh to another computer

Hello,

I need some help on this little problem of mine... On the network i'm working on I have to connect by ssh to other nodes.
I want to call a C program with python with the os.system(command) function, but the computer I use to launch all my python scripts doesn't have the good processor architecture to launch this particular C program (and I cannot compile it for this processor since the source codes are corupted).
I would like to log on to another computer on the network and use the C program, and then logout again once the calculating is done...

Do you see a way to do that?

Little precision: I don't need a password for the ssh command on this network.
Little precision number 2: python is not installed in the same directory in the other computers of the nework...

You might want more help than this but take a look at Paramiko. Paramiko is a set of Python modules for enabling ssh connectivity. Look for instance at the included demo.py script. It's the same thing as setting up a remote shell with the ssh client.