Paper 2022/779

New Lattice Two-Stage Sampling Technique and its Applications to Functional Encryption -- Stronger Security and Smaller Ciphertexts

Qiqi Lai, School of Computer Science, Shaanxi Normal University
Feng-Hao Liu, Florida Atlantic University
Zhedong Wang, School of Cyber Science and Engineering, Shanghai Jiao Tong University
Abstract

This work proposes a new two-stage lattice two-stage sampling technique, generalizing the prior two-stage sampling method of Gentry, Peikert, and Vaikuntanathan (STOC '08). By using our new technique as a key building block, we can significantly improve security and efficiency of the current state of the arts of simulation-based functional encryption. Particularly, our functional encryption achieves $(Q,\poly)$ simulation-based semi-adaptive security that allows arbitrary pre- and post-challenge key queries, and has succinct ciphertexts with only an additive $O(Q)$ overhead. Additionally, our two-stage sampling technique can derive new feasibilities of indistinguishability-based adaptively-secure $\IB$-$\FE$ for inner products and semi-adaptively-secure $\AB$-$\FE$ for inner products, breaking several technical limitations of the recent work by Abdalla, Catalano, Gay, and Ursu (Asiacrypt '20).

Note: Full version of the original paper in Eurocrypt 2021.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
A major revision of an IACR publication in EUROCRYPT 2021
Keywords
Functional Encryption Lattice Assumption
Contact author(s)
laiqq @ snnu edu cn
fenghao liu @ fau edu
wzdstill @ sjtu edu cn
History
2022-06-17: approved
2022-06-17: received
See all versions
Short URL
https://ia.cr/2022/779
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/779,
      author = {Qiqi Lai and Feng-Hao Liu and Zhedong Wang},
      title = {New Lattice Two-Stage Sampling Technique and its Applications to Functional Encryption -- Stronger Security and Smaller Ciphertexts},
      howpublished = {Cryptology ePrint Archive, Paper 2022/779},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/779}},
      url = {https://eprint.iacr.org/2022/779}
}
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