  Genuine randomness can be certified from Bell tests without any detailed
assumptions on the working of the devices with which the test is implemented.
An important class of experiments for implementing such tests is optical setups
based on polarisation measurements of entangled photons distributed from a
spontaneous parametric down conversion source. Here we compute the maximal
amount of randomness which can be certified in such setups under realistic
conditions. We provide relevant yet unexpected numerical values for the
physical parameters and achieve four times more randomness than previous
methods.
