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Leakage-resilient lossy trapdoor functions and public-key encryption

Authors:

Manuel CharlemagneAuthors Info & Claims

AsiaPKC '13: Proceedings of the first ACM workshop on Asia public-key cryptography

Pages 3 - 12

https://doi.org/10.1145/2484389.2484393

Published: 08 May 2013 Publication History

Abstract

Lossy Trapdoor Functions (LTFs) was introduced by Peikert and Waters in 2008. The importance of the LTFs was justified by their numerous cryptographic applications, like the construction of injective one-way trapdoor functions, CCA-secure public-key encryption, etc. However, little research on application of LTFs to key-leakage resilient public-key encryption was done. In this article we introduce a new variant of LTFs featuring leakage-resilience, namely lrLTFs and give a realization of lrLTFs with leakage rate 1/Θ(κ) (where κ is the security parameter) under the Decisional Diffie-Hellman (DDH) assumption. We further improve the leakage rate to 1-o(1) over a composite-order group in which the Decisional Composite Residuosity (DCR) assumption holds. We also introduce a new notion of key-leakage attacks, which we call weak key-leakage attacks, for bridging the adaptive and non-adaptive key-leakage attacks in the setting of public-key cryptosystem. In this model, the leakage adversary only gets a part of public key before accessing to a leakage oracle. We show that lrLTFs imply public-key encryption schemes secure against chosen-ciphertext weak key-leakage attacks in a black-box sense.

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Cited By

Huang MYang BZhou YHu X(2021)Continual Leakage-Resilient Hedged Public-Key EncryptionThe Computer Journal10.1093/comjnl/bxaa20465:6(1574-1585)Online publication date: 13-Feb-2021
https://doi.org/10.1093/comjnl/bxaa204
Zhao YLiang KYang BChen L(2019)CCA Secure Public Key Encryption against After-the-Fact Leakage without NIZK ProofsSecurity and Communication Networks10.1155/2019/83572412019Online publication date: 31-Oct-2019
https://dl.acm.org/doi/10.1155/2019/8357241
Zhang MHuang JShen HXia ZDing Y(2018)Consecutive Leakage-Resilient and Updatable Lossy Trapdoor Functions and Application in Sensitive Big-Data EnvironmentsIEEE Access10.1109/ACCESS.2018.28641636(43936-43945)Online publication date: 2018
https://doi.org/10.1109/ACCESS.2018.2864163
Show More Cited By

Index Terms

Leakage-resilient lossy trapdoor functions and public-key encryption
1. Security and privacy
  1. Cryptography
    1. Public key (asymmetric) techniques
      1. Public key encryption

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Abstract
In STOC’08, Peikert and Waters presented a black-box construction of CCA-secure public key encryption (PKE) scheme from lossy trapdoor functions (LTDFs) [20], and they mentioned in the paper that their construction is a hybrid of Naor-Yung [18] ...

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Published In

cover image ACM Conferences

AsiaPKC '13: Proceedings of the first ACM workshop on Asia public-key cryptography

May 2013

70 pages

ISBN:9781450320696

DOI:10.1145/2484389

General Chairs:
Kefei Chen
Shanghai Jiao Tong University, China
,
Qi Xie
Hangzhou Normal University, China
,
Weidong Qiu
Shanghai Jiao Tong University, China
,
Program Chairs:
Shouhuai Xu
University of Texas at San Antonio, USA
,
Yunlei Zhao
Fudan University, China

Copyright © 2013 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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SIGSAC: ACM Special Interest Group on Security, Audit, and Control

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 May 2013

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ASIA CCS '13

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SIGSAC

ASIA CCS '13: 8th ACM Symposium on Information, Computer and Communications Security

May 8, 2013

Hangzhou, China

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AsiaPKC '13 Paper Acceptance Rate 8 of 18 submissions, 44%;

Overall Acceptance Rate 36 of 103 submissions, 35%

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Cited By

Huang MYang BZhou YHu X(2021)Continual Leakage-Resilient Hedged Public-Key EncryptionThe Computer Journal10.1093/comjnl/bxaa20465:6(1574-1585)Online publication date: 13-Feb-2021
https://doi.org/10.1093/comjnl/bxaa204
Zhao YLiang KYang BChen L(2019)CCA Secure Public Key Encryption against After-the-Fact Leakage without NIZK ProofsSecurity and Communication Networks10.1155/2019/83572412019Online publication date: 31-Oct-2019
https://dl.acm.org/doi/10.1155/2019/8357241
Zhang MHuang JShen HXia ZDing Y(2018)Consecutive Leakage-Resilient and Updatable Lossy Trapdoor Functions and Application in Sensitive Big-Data EnvironmentsIEEE Access10.1109/ACCESS.2018.28641636(43936-43945)Online publication date: 2018
https://doi.org/10.1109/ACCESS.2018.2864163
Li SMu YZhang MZhang F(2017)Continuous Leakage Resilient Lossy Trapdoor FunctionsInformation10.3390/info80200388:2(38)Online publication date: 23-Mar-2017
https://doi.org/10.3390/info8020038
Hu CLiu PZhou YGuo SWang YXu Q(2016)Public-key encryption for protecting data in cloud system with intelligent agents against side-channel attacksSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-015-1782-620:12(4919-4932)Online publication date: 1-Dec-2016
https://dl.acm.org/doi/10.1007/s00500-015-1782-6
Li SMu YZhang MZhang F(2016)Updatable Lossy Trapdoor Functions andźItsźApplication in Continuous LeakageProceedings of the 10th International Conference on Provable Security - Volume 1000510.1007/978-3-319-47422-9_18(309-319)Online publication date: 10-Nov-2016
https://dl.acm.org/doi/10.1007/978-3-319-47422-9_18
Koppula VPandey ORouselakis YWaters B(2016)Deterministic Public-Key Encryption Under Continual LeakageApplied Cryptography and Network Security10.1007/978-3-319-39555-5_17(304-323)Online publication date: 9-Jun-2016
https://doi.org/10.1007/978-3-319-39555-5_17
Hu CLiu PGuo S(2015)Public key encryption secure against related-key attacks and key-leakage attacks from extractable hash proofsJournal of Ambient Intelligence and Humanized Computing10.1007/s12652-015-0329-07:5(681-692)Online publication date: 1-Dec-2015
https://doi.org/10.1007/s12652-015-0329-0

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