[Resource Topic] 2000/042: Constructing Pseudo-Random Permutations with a Prescribed Structure

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Title:
Constructing Pseudo-Random Permutations with a Prescribed Structure

Authors: Moni Naor, Omer Reingold

Abstract:

We show how to construct pseudo-random permutations that satisfy a
certain cycle restriction, for example that the permutation be
cyclic (consisting of one cycle containing all the elements) or an
involution (a self-inverse permutation) with no fixed points. The
construction can be based on any (unrestricted) pseudo-random
permutation. The resulting permutations
are defined succinctly and their
evaluation at a given point is efficient. Furthermore, they enjoy
a {\em fast forward} property, i.e. it is possible to iterate
them at a very small cost.

ePrint: https://eprint.iacr.org/2000/042

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