Sorry, tim. As it doesn`t seem that Phil is going to reply I`ll see what I can do.
I do not know of any potato disease that manifests itself in its early stages as tiny white dots on the surface of the potato. A far more probable explanation is that these originate from the lenticels in the skin of the potato.
The potato tuber is, in fact, simply a modified form of underground stem, and, as with all plant stems contains lenticels, or pores, which allow for the exchange of gases through what would otherwise be an impermeable skin. In extremely wet conditions these lenticels can become enlarged and tiny bubbles of exhudation form. When the potato is lifted and exposed to the air the lenticels would shrink again, leaving a tiny white dot on the surface of the potato.