  We study the universality class of the fixed points of the 2D random bond
q-state Potts model by means of numerical transfer matrix methods. In
particular, we determine the critical exponents associated with the fixed point
on the Nishimori line. Precise measurements show that the universality class of
this fixed point is inconsistent with percolation on Potts clusters for q=2,
corresponding to the Ising model, and q=3
