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Order-preserving encryption using approximate common divisors

delete2019-12-01
delete13
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OA
AI
J
James Dyer *
M
Martin Dyer
K
Karim Djemame
DOI:10.1016/j.jisa.2019.102391delete
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Abstract

Abstract

En 中文
Order-preservation is a highly desirable property for encrypted databases as it allows range queries over ciphertexts. Order-preserving encryption (OPE) is used in the encrypted database systems CryptDB and Cipherbase. The former has been adopted by several commercial organisations and the latter was developed as an extension of Microsoftas SQLServer. We present two novel, but simple, randomised OPE schemes based on the general approximate common divisor problem (GACDP) and decisional polynomial approximate common divisor problem (DPolyACDP) respectively. These appear to be the first OPE schemes to be based on a computational hardness primitive, rather than a security game. Our GACDP based scheme is very efficient, requiring only O(1) arithmetic operations for encryption and decryption. Our DPolyACDP based scheme is similarly efficient. We show that these schemes have near optimal information leakage. We demonstrate how our OPE schemes can be integrated into a secure distributed computing system which computes over encrypted data. We report on an extensive evaluation of our GACDP-based algorithms in such a scenario, a MapReduce computation over encrypted data. The results clearly demonstrate extremely favourable execution times in comparison with existing OPE schemes. (C) 2019 Elsevier Ltd. All rights reserved.
Keywords:
Order-preserving encryption
Secure distributed computing
Symmetric cipher
Approximate common divisors
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Journal

Journal of Information Security and Applications cover
Journal of Information Security and Applications
IF:
3.7
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1.9K
Citations:
4.9K

Organization

U
University of Huddersfield
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U
university of leeds
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