Paper 2018/529 Original: eprint.iacr.org/2018/529 ↗
Trapdoor Functions from the Computational Diffie-Hellman Assumption
Abstract
Trapdoor functions (TDFs) are a fundamental primitive in cryptography. Yet, the current set of assumptions known to imply TDFs is surprisingly limited, when compared to public-key encryption. We present a new general approach for constructing TDFs. Specifically, we give a generic construction of TDFs from any Hash Encryption (Döttling and Garg [CRYPTO '17]) satisfying a novel property which we call recyclability. By showing how to adapt current Computational Diffie-Hellman (CDH) based constructions of hash encryption to yield recyclability, we obtain the first construction of TDFs with security proved under the CDH assumption. While TDFs from the Decisional Diffie-Hellman (DDH) assumption were previously known, the possibility of basing them on CDH had remained open for more than 30 years.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2018-06-29: last updated
- 2018-06-04: published
- Short URL
- https://ia.cr/2018/529
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2018/529,
author = {Sanjam Garg and Mohammad Hajiabadi},
title = {Trapdoor Functions from the Computational Diffie-Hellman Assumption},
howpublished = {Cryptology {ePrint} Archive, Paper 2018/529},
year = {2018},
url = {https://eprint.iacr.org/2018/529}
}