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A Pseudo-Random Permutation (PRP) is a function that cannot be distinguished (with practical effort) from a permutation selected at random with uniform probability from the family of all permutations on the function's domain.

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So it turns out that there is nothing strange about the composition of random permutations of order 2. The thing is that the distribution of the size of the orbit of an element under the operation $g\ …
answered Apr 18 '18 by Joseph Van Name
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Suppose that $f,g,h:X\rightarrow X$ are permutations such that $f^{2}=g^{2}=\textrm{Id}_{X}$ (i.e. $f,g$ have order 2). Let $F=f\circ g$. Let $D_{f,g}$ be the distribution that takes the value $n$ whe …
asked Feb 10 '18 by Joseph Van Name