Abstract
We present a modular framework for the design of efficient adaptively secure attribute-based encryption (ABE) schemes for a large class of predicates under the standard \(k\)-Lin assumption in prime-order groups; this is the first uniform treatment of dual system ABE across different predicates and across both composite and prime-order groups. Via this framework, we obtain concrete efficiency improvements for several ABE schemes. Our framework has three novel components over prior works: (i) new techniques for simulating composite-order groups in prime-order ones, (ii) a refinement of prior encodings framework for dual system ABE in composite-order groups, (iii) an extension to weakly attribute-hiding predicate encryption (which includes anonymous identity-based encryption as a special case).
J. Chen—Shanghai Key Laboratory of Multidimensional Information Processing and Shanghai Key Lab of Trustworthy Computing. Supported by the National Natural Science Foundation of China (Grant Nos. 61472142, 61321064, 61172085), Science and Technology Commission of Shanghai Municipality (Grant Nos. 14YF1404200, 13JC1403500).
R. Gay—Supported in part by ANR-14-CE28-0003 (Project EnBiD).
H. Wee—CNRS, INRIA and Columbia University. Supported in part by ANR-14-CE28-0003 (Project EnBiD), NSF Award CNS-1445424, the Alexander von Humboldt Foundation and a Google Faculty Research Award.
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Keywords
- Dual System
- Boolean Formula
- Cryptology ePrint Archive
- Challenge Ciphertext
- Subgroup Indistinguishability
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Chen, J., Gay, R., Wee, H. (2015). Improved Dual System ABE in Prime-Order Groups via Predicate Encodings. In: Oswald, E., Fischlin, M. (eds) Advances in Cryptology - EUROCRYPT 2015. EUROCRYPT 2015. Lecture Notes in Computer Science(), vol 9057. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46803-6_20
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