I'm trying to figure out what is period of PCG generator XSL-RR-RR:
If we use just random multiplier and increment in LCG in that PCG. M. O'Neill wrote:
"For the PCG family, arbitrary k-dimensional equidistribution (and the huge periods it implies) requires PCG's extended generation scheme."
It looks like their generators has big periods, XSL-RR-RR too. But I can't find accurate information about that. She proved somehow that they are k-dimensional equidistributed. But what is k exactly, what periods it implies and could it be the same with every parameter of LCG in XSL-RR-RR? She tested some specific multiplier and increments so maybe other ones have worse parameters and periods?
I don't understand exactly why she use just some specific miltipliers (two ones if I understand it well) and increments in XSL-RR-RR. What will happen if we will use other, random ones?