One of the problems with open fori as this is that there is many times incorrect or over protective advice. The reason this machine is specified as '16A' is the start up current of the motor, and that is why the comments about running it off a 13A socket mention "throwing a fuse every 15 times or so" - the 13A fuse will cope but will degrade due to the over stress with time. So a specific supply is required.
We now come to the question of cable. I refer you to this website for cable rating
www.cable-ratings.co.uk
and this for the voltage drop calculation
and this which says 5% drop which for 230vac is 11.5 volts
Section 525 of BS 7671 requires the voltage drop in the circuits of an installation to be limited so that the safe and satisfactory operation of current-using equipment is not impaired. To achieve thi
professional-electrician.com
So it does depend on how long your cable from the consumer unit to the appliance is. Using TLC's calculator I was surprised how much you could put through a 1mm^2 cable, and it wasn't till I jumped up to 40m cable length that a 2.5mm^2 was required. And go back to remembering that it is only at the very short time of start up - and not even on under load running - will the current to create the 5% mains voltage drop exist.
OxenTurner doesn't give us any information as to where his machine is going to be used, but if it is an outbuilding, you should have a local Consumer Unit with RCD, and dedicated MCB in the house CU. Better perhaps that feed is 4mm, but for instance all my wiring to my garage and workshop went in before I was properly trained as 2.5mm underground and it must be pushing 40m from the house CU. I have no problems with a 3kw table saw, which is on a 5m x 2.5mm^2 dedicated cable from a 20A 'C' breaker in the local CU - a 'C' breaker has a longer time before acting than the normal 'B'.
Rob