How to construct pseudorandom permutations from pseudorandom functions
SIAM Journal on Computing - Special issue on cryptography
On the construction of a random number generator and random function generators
Lecture Notes in Computer Science on Advances in Cryptology-EUROCRYPT'88
How to construct pseudorandom permutations from single pseudorandom functions
EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
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In the paper, elementary randomizers based on random functions and the DES structure are examined. First, it is proved that the randomizer with three different random functions produces the outputs which are independent and uniformly distributed random variables. Next, randomizers based on two different random functions are considered and it is shown that their statistical properties depend upon the order of the functions used in them. Finally, it is proved that the randomizer with a single random function gives outputs which are statistically related.