A Logarithmic Lower Bound for Oblivious RAM (For All Parameters)

An Oblivious RAM (ORAM), introduced by Goldreich and Ostrovsky (J. ACM 1996), is a (probabilistic) RAM that hides its access pattern, i.e., for every input the observed locations accessed are similarly distributed. In recent years there has been great progress both in terms of upper bounds as well as in terms of lower bounds, essentially pinning down the smallest overhead possible in various settings of parameters.

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Publication Details

Journal
SIAM Journal on Computing
Published
2025-04-25
DOI
https://doi.org/10.1137/21m1428431
Primary Topic
Cryptography and Data Security
Type
article
Field-Weighted Citation Impact
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article

A Logarithmic Lower Bound for Oblivious RAM (For All Parameters)

Ilan Komargodski, Wei-Kai Lin
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SIAM Journal on Computing
Cryptography and Data Security
article

A Logarithmic Lower Bound for Oblivious RAM (For All Parameters)

Ilan Komargodski, Wei-Kai Lin
article en

Abstract

An Oblivious RAM (ORAM), introduced by Goldreich and Ostrovsky (J. ACM 1996), is a (probabilistic) RAM that hides its access pattern, i.e., for every input the observed locations accessed are similarly distributed. In recent years there has been great progress both in terms of upper bounds as well as in terms of lower bounds, essentially pinning down the smallest overhead possible in various settings of parameters.

SIAM Journal on ComputingVol. 54(2)
University of Virginia (US)
Openalex Percentile: Top 100%
Cryptography and Data Security
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A Logarithmic Lower Bound for Oblivious RAM (For All Parameters) — Ilan Komargodski, Wei-Kai Lin · SIAM Journal on Computing (2025) | TGRS Research Map | TGRS