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Information 2017, 8(2), 38; doi:10.3390/info8020038

Continuous Leakage Resilient Lossy Trapdoor Functions

1
School of Mathematical and Physical Sciences, Nanjing Tech University, Nanjing, 211800, China
2
School of Computing and Information Technology, University of Wollongong, Wollongong, NSW 2522, Australia
3
School of Computer Science, Hubei University of Technology, Wuhan, 430068, China
4
School of Computer Science and Technology, Nanjing Normal University, Nanjing, 210023, China
*
Author to whom correspondence should be addressed.
Academic Editors: Man Ho Au, Jinguang Han, Joseph K. Liu and Ali El Kaafarani
Received: 5 February 2017 / Revised: 14 March 2017 / Accepted: 17 March 2017 / Published: 23 March 2017
(This article belongs to the Special Issue Secure Data Storage and Sharing Techniques in Cloud Computing)
View Full-Text   |   Download PDF [798 KB, uploaded 23 March 2017]

Abstract

Lossy trapdoor functions (LTFs) were first introduced by Peikert and Waters (STOC’08). Since their introduction, lossy trapdoor functions have found numerous applications. They can be used as tools to construct important cryptographic primitives such as injective one-way trapdoor functions, chosen-ciphertext-secure public key encryptions, deterministic encryptions, et al. In this paper, we focus on the lossy trapdoor functions in the presence of continuous leakage. We introduce the new notion of updatable lossy trapdoor functions (ULTFs) and give their formal definition and security properties. Based on these, we extend the security model to the LTFs against continuous leakage when the evaluation algorithm is leakage resilient. Under the standard DDH assumption and DCR assumption, respectively, we show two explicit lossy trapdoor functions against continuous leakage in the standard model. In these schemes, using the technology of matrix kernel, the trapdoor can be refreshed at regular intervals and the adversaries can learn unbounded leakage information on the trapdoor along the whole system life. At the same time, we also show the performance of the proposed schemes compared with the known existing continuous leakage resilient lossy trapdoor functions. View Full-Text
Keywords: lossy trapdoor functions; continuous leakage; ULTFs; DDH; DCR lossy trapdoor functions; continuous leakage; ULTFs; DDH; DCR
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Li, S.; Mu, Y.; Zhang, M.; Zhang, F. Continuous Leakage Resilient Lossy Trapdoor Functions. Information 2017, 8, 38.

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