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Abstract: We provide rigorous time/space tradeoffs for inverting any function. Given a function f , we give a time/space tradeoff of TS q(f ), where q(f) is the probability that two random elements (taken with replacement) are mapped to the same image under f . We also give a more general tradeoff, TS , that can invert any function at any point. (Update)
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...be tiny. A more sophisticated construction permits evaluating F ( with a much smaller number of applications of F ( as follows [11, 8]. For j = 1: l, S would precompute m pairs (x; h j (x) where h j (x) g j (F (x) and each g j ( is an auxiliary function. The integers...
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BibTeX entry: (Update)
A. Fiat and M. Naor. Rigorous time/space trade-offs for inverting functions. SIAM Journal on Computing, 29(3):790--803, June 2000. http://citeseer.ist.psu.edu/524362.html More
@inproceedings{ fiat91rigorous,
author = "Amos Fiat and Moni Naor",
title = "Rigorous time/space tradeoffs for inverting functions",
pages = "534--541",
year = "1991",
url = "citeseer.ist.psu.edu/524362.html" }
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