  Resistance of disordered superconducting Au$_{0.7}$In$_{0.3}$ cylindrical
films was measured as a function of applied magnetic field. In the
high-temperature part of the superconducting transition regime, the resistance
oscillated with a period of $h/2e$ in the unit of the enclosed magnetic flux.
However, at lower temperatures, the resistance peaks split. We argue that this
splitting is due to the emergence of an oscillation with a period of $h/4e$,
half of the flux quantum for paired electrons. The possible physical origin of
the $h/4e$ resistance oscillation is discussed in the context of new minima in
the free energy of a disordered superconducting cylinder.
