For others, here's the Wikipedia link:
http://en.wikipedia.org/wiki/Spinal_nerves
I'm surprised that it's so few (31 pairs of spinal nerves). I would have imagined that there would be thousands and thousands of nerves.
Since we certainly have more than 62 sensory inputs and motor outputs in the trunk of our body, I assume that those 62 nerves hide quite a lot complexity.
So, if you transplanted the head and spinal cord, then use, you could somehow make '62 connections'. If you transplanted 'the head' you would have to join the entire spinal cords.
Finally, each nerve is really 'a cable bundle', so the process of joining them is kinda tricky, and beyond the scope of my knowledge. Needless to say, the authors of the paper think that it can work. Their references likely can point you in the right direction.
At least so I read it
Some sort of precise robot similar to a wire-bonding machine could make bonds between nerve ends and pads on the silicon. And then maybe fill the whole area with something solid like epoxy so the bonds don't move or loosen?