FE for Inner Products and Its Application to Decentralized ABE

Zhedong Wang; Xiong Fan; Feng-Hao Liu

Paper 2019/033

FE for Inner Products and Its Application to Decentralized ABE

Zhedong Wang, 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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: A minor revision of an IACR publication in PKC 2019
Keywords: functional encryption ABE LWE DDH
Contact author(s): wangzhedong @ iie ac cn
xfan @ cs cornell edu
fenghao liu @ fau edu
History: 2020-08-04: last of 2 revisions; 2019-01-17: received; See all versions
Short URL: https://ia.cr/2019/033
License: CC BY

BibTeX

@misc{cryptoeprint:2019/033,
      author = {Zhedong Wang and Xiong Fan and Feng-Hao Liu},
      title = {{FE} for Inner Products and Its Application to Decentralized {ABE}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/033},
      year = {2019},
      url = {https://eprint.iacr.org/2019/033}
}