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arXiv · 1205.4576

Constructing a Pseudorandom Generator Requires an Almost Linear Number of Calls

Thomas Holenstein·Makrand Sinha
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Abstract

We show that a black-box construction of a pseudorandom generator from a one-way function needs to make Omega(n/log(n)) calls to the underlying one-way function. The bound even holds if the one-way function is guaranteed to be regular. In this case it matches the best known construction due to Goldreich, Krawczyk, and Luby (SIAM J. Comp. 22, 1993), which uses O(n/log(n)) calls.

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Thomas Holenstein, Makrand Sinha. 2012-05-21. Constructing a Pseudorandom Generator Requires an Almost Linear Number of Calls. https://arxiv.org/abs/1205.4576

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