Rigorous time/space trade-offs for inverting functions

Amos Fiat; Moni Naor

doi:10.1137/S0097539795280512

Rigorous time/space trade-offs for inverting functions

Amos Fiat^*, Moni Naor

^*Corresponding author for this work

School of Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

We provide rigorous time/space trade-offs for inverting any function. Given a function f, we give a time/space trade-off of TS² = N³q(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 trade-off, TS³ = N³, that can invert any function at any point.

Original language	English
Pages (from-to)	790-803
Number of pages	14
Journal	SIAM Journal on Computing
Volume	29
Issue number	3
DOIs	https://doi.org/10.1137/S0097539795280512
State	Published - 2000

Keywords

Cryptanalysis
Cryptography
Hashing data encryption standard
One-way functions
Random graphs
Randomized algorithms

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10.1137/S0097539795280512

Cite this

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Rigorous time/space trade-offs for inverting functions

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Keywords

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