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Design of Practical and Provably Good Random Number Generators

✍ Scribed by Aiello, William (author);Rajagopalan, S. Raj (author);Venkatesan, Ramarathnam (author)


Publisher
Academic Press
Year
1998
Tongue
English
Weight
286 KB
Volume
29
Category
Article
ISSN
0196-6774

No coin nor oath required. For personal study only.

✦ Synopsis


We present a construction for a family of pseudo-random generators that are very fast in practice, yet possess provable statistical and cryptographic unpredictability properties. Such generators are useful for simulations, randomized algorithms, and cryptography.

Our starting point is a slow but high quality generator whose use can be mostly confined to a preprocessing step. We give a method of stretching its outputs that yields a faster generator. The fast generator offers smooth memory᎐time᎐security trade-offs and also has many desired properties that are provable. The slow generator can be based on strong one-way permutations or block ciphers. Our implementation based on the block cipher DES is faster than popular generators.


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The use of Monte Carlo and other statistical procedures that depend on randomization of the observed data has been inhibited by uncertainty about the validity of random numbers generated by a computer. In the empirical test performed here, computergenerated numbers appeared to be just as "random" as