We study electron transport in an antidot superlattice with a finite n
umber of periods. At low carrier densities and high magnetic fields th
e electrons travel phase coherently over the entire system in magnetic
edge channels and interfere with each other under the influence of th
e geometry of the antidot potential landscape. The magnetoresistance d
isplays pronounced Aharonov-Bohm-type oscillations arising from electr
ons that travel along the bound states that form around the antidots.
The characteristic period of the oscillations is given by the area def
ined by the circumference of the antidots.