Paper 2022/1441
Tighter Post-quantum Proof for Plain FDH, PFDH and GPV-IBE
Abstract
In CRYPTO 2012, Zhandry developed generic semi-constant oracle technique and proved security of an identity-based encryption scheme, GPV-IBE, and full domain hash (FDH) signature scheme in the quantum random oracle model (QROM). However, the reduction provided by Zhandry incurred a quadratic reduction loss. In this work, we provide a much tighter proof, with linear reduntion loss, for the FDH, probabilistc FDH (PFDH), and GPV-IBE in the QROM. Our proof is based on the measure-and-reprogram technique developed by Don, Fehr, Majenz and Schaffner.
Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Preprint.
- Keywords
- Quantum random oracleFull domain hashIdentity-based encryption
- Contact author(s)
- yu_liu21 @ m fudan edu cn
- History
- 2023-01-28: revised
- 2022-10-22: received
- See all versions
- Short URL
- https://ia.cr/2022/1441
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2022/1441, author = {Yu Liu and Haodong Jiang and Yunlei Zhao}, title = {Tighter Post-quantum Proof for Plain {FDH}, {PFDH} and {GPV}-{IBE}}, howpublished = {Cryptology {ePrint} Archive, Paper 2022/1441}, year = {2022}, url = {https://eprint.iacr.org/2022/1441} }