Paper 2021/740
The Boneh-Katz Transformation, Revisited: Pseudorandom/Obliviously-Samplable PKE from Lattices and Codes and Its Application
Keita Xagawa
Abstract
The Boneh-Katz transformation (CT-RSA 2005) converts a selectively-secure identity/tag-based encryption scheme into a public-key encryption scheme secure against chosen-ciphertext attacks. We show that if the underlying primitives are pseudorandom, then the public-key encryption scheme obtained by the Boneh-Katz transformation is also pseudorandom. A similar result holds for oblivious sampleability (Canetti and Fischlin (CRYPTO 2001)). As applications, we can construct * pseudorandom and obliviously-samplable public-key encryption schemes from lattices and codes, * universally-composable non-interactive bit-commitment from lattices, * public-key steganography which is steganographically secure against adaptive chosen-covertext attacks and steganographic key-exchange from lattices and codes, * anonymous authenticated key exchange from lattices and codes, * public-key encryption secure against simulation-based, selective-opening chosen-ciphertext attacks from lattices and codes.
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Metadata
- Available format(s)
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Major revision. SAC 2021
- Keywords
- Public-Key EncryptionTag-Based EncryptionPost-Quantum Cryptographythe Boneh-Katz TransformationSelective-Opening SecurityAnonymity
- Contact author(s)
- keita xagawa zv @ hco ntt co jp
- History
- 2021-09-14: last of 2 revisions
- 2021-06-03: received
- See all versions
- Short URL
- https://ia.cr/2021/740
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2021/740, author = {Keita Xagawa}, title = {The Boneh-Katz Transformation, Revisited: Pseudorandom/Obliviously-Samplable {PKE} from Lattices and Codes and Its Application}, howpublished = {Cryptology {ePrint} Archive, Paper 2021/740}, year = {2021}, url = {https://eprint.iacr.org/2021/740} }