Shorter identity-based encryption via asymmetric pairings

Jie Chen*, Hoon Wei Lim, San Ling, Huaxiong Wang, Hoeteck Wee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


We present efficient identity-based encryption (IBE) under the symmetric external Diffie-Hellman (SXDH) assumption in bilinear groups; our scheme also achieves anonymity. In our IBE scheme, all parameters have constant numbers of group elements, and are shorter than those of previous constructions based on decisional linear (DLIN) assumption. Our construction uses both dual system encryption (Waters, CRYPTO 2009) and dual pairing vector spaces (Okamoto and Takashima, Pairing 2008; ASIACRYPT 2009). Specifically, we show how to adapt the recent DLIN-based instantiation of Lewko (EUROCRYPT 2012) to the SXDH assumption. To our knowledge, this is the first work to instantiate either dual system encryption or dual pairing vector spaces under the SXDH assumption. Furthermore, our work could be extended to many other functional encryption. In Particular, we show how to instantiate our framework to inner product encryption and key-policy functional encryption. All parameters of our constructions are shorter than those of DLIN-based constructions.

Original languageEnglish
Pages (from-to)911–947
Number of pages37
JournalDesigns, Codes and Cryptography
Issue number3
Publication statusPublished - Dec 2014
Externally publishedYes


  • Functional encryption
  • Identity-based encryption
  • Public key cryptography


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