# Information Security and Cryptography Research Group

## A Simplified and Generalized Treatment of Luby-Rackoff Pseudorandom Permutation Generators

### Ueli Maurer

Advances in Cryptology — EUROCRYPT '92, Lecture Notes in Computer Science, Springer-Verlag, vol. 658, pp. 239–255, May 1992.

A paper by Luby and Rackoff on the construction of pseudorandom permutations from pseudorandom functions based on a design principle of the DES has recently initiated a burst of research activities on applications and generalizations of these results. This paper presents a strongly simplified treatment of these results and generalizes them by pointing out the relation to locally random functions, thereby providing new insight into the relation between probability-theoretic and complexity-theoretic results in cryptography. The first asymptotically-optimal construction of a locally random function is presented and new design strategies for block ciphers based on these results are proposed.

Keywords: Locally random function, Pseudorandom function, Pseudorandom permutation, Luby-Rackoff permutation generator.

## BibTeX Citation

@inproceedings{Maurer92d,
author       = {Ueli Maurer},
title        = {A Simplified and Generalized Treatment of {L}uby-{R}ackoff Pseudorandom Permutation Generators},
editor       = {R. A. Rueppel},
booktitle    = {Advances in Cryptology --- EUROCRYPT~'92},
pages        = 239--255,
series       = {Lecture Notes in Computer Science},
volume       = 658,
year         = 1992,
month        = 5,
publisher    = {Springer-Verlag},
}