Rigorous time/space tradeoffs for inverting functions

Amos Fiat; Moni Naor

doi:10.1145/103418.103473

Rigorous time/space tradeoffs for inverting functions

Amos Fiat
, Moni Naor

School of Computer Science and AI

IBM

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

40 Scopus citations

Abstract

We provide rigorous time-space tradeoffs for inverting any function. Given a function f, we give a time space tradeoff of TS² = N³q(f), where q(f) is the probability that two random elements are mapped to the same image under f. We also give a more general tradeoff, TS³ = N³, that can invert any function at any point.

Original language	English
Title of host publication	Proceedings of the 23rd Annual ACM Symposium on Theory of Computing, STOC 1991
Publisher	Association for Computing Machinery
Pages	534-541
Number of pages	8
ISBN (Electronic)	0897913973
DOIs	https://doi.org/10.1145/103418.103473
State	Published - 3 Jan 1991
Event	23rd Annual ACM Symposium on Theory of Computing, STOC 1991 - New Orleans, United States Duration: 5 May 1991 → 8 May 1991

Publication series

Name	Proceedings of the Annual ACM Symposium on Theory of Computing
Volume	Part F130073
ISSN (Print)	0737-8017

Conference

Conference	23rd Annual ACM Symposium on Theory of Computing, STOC 1991
Country/Territory	United States
City	New Orleans
Period	5/05/91 → 8/05/91

Access to Document

10.1145/103418.103473

Cite this

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title = "Rigorous time/space tradeoffs for inverting functions",

abstract = "We provide rigorous time-space tradeoffs for inverting any function. Given a function f, we give a time space tradeoff of TS2 = N3q(f), where q(f) is the probability that two random elements are mapped to the same image under f. We also give a more general tradeoff, TS3 = N3, that can invert any function at any point.",

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series = "Proceedings of the Annual ACM Symposium on Theory of Computing",

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Fiat, A & Naor, M 1991, Rigorous time/space tradeoffs for inverting functions. in Proceedings of the 23rd Annual ACM Symposium on Theory of Computing, STOC 1991. Proceedings of the Annual ACM Symposium on Theory of Computing, vol. Part F130073, Association for Computing Machinery, pp. 534-541, 23rd Annual ACM Symposium on Theory of Computing, STOC 1991, New Orleans, United States, 5/05/91. https://doi.org/10.1145/103418.103473

Rigorous time/space tradeoffs for inverting functions. / Fiat, Amos; Naor, Moni.
Proceedings of the 23rd Annual ACM Symposium on Theory of Computing, STOC 1991. Association for Computing Machinery, 1991. p. 534-541 (Proceedings of the Annual ACM Symposium on Theory of Computing; Vol. Part F130073).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Rigorous time/space tradeoffs for inverting functions

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