Cryptology ePrint Archive: Report 2019/033

FE for Inner Products and Its Application to Decentralized ABE

Zhedong Wang and Xiong Fan and Feng-Hao Liu

Abstract: In this work, we revisit the primitive functional encryption (FE) for inner products and show its application to decentralized attribute- based encryption (ABE). Particularly, we derive an FE for inner prod- ucts that satisfies a stronger notion, and show how to use such an FE to construct decentralized ABE for the class {0,1}{0,1}-LSSS against bounded collusions in the plain model. We formalize the FE notion and show how to achieve such an FE under the LWE or DDH assumption. Therefore, our resulting decentralized ABE can be constructed under the same standard assumptions, improving the prior construction by Lewko and Waters (Eurocrypt 2011). Finally, we also point out challenges to construct decentralized ABE for general functions by establishing a relation between such an ABE and witness encryption for general NP statements.

Category / Keywords: public-key cryptography / functional encryption, ABE, LWE,DDH

Original Publication (with minor differences): IACR-PKC-2019

Date: received 13 Jan 2019, last revised 3 Aug 2020

Contact author: wangzhedong at iie ac cn, xfan at cs cornell edu, fenghao liu at fau edu

Available format(s): PDF | BibTeX Citation

Version: 20200804:034642 (All versions of this report)

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