## CryptoDB

### Paper: Trapdoor Functions from the Computational Diffie-Hellman Assumption

Authors: Sanjam Garg Mohammad Hajiabadi DOI: 10.1007/978-3-319-96881-0_13 (login may be required) Search ePrint Search Google Slides CRYPTO 2018 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 Chameleon 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 chameleon 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.
##### BibTeX
@inproceedings{crypto-2018-28818,
title={Trapdoor Functions from the Computational Diffie-Hellman Assumption},
booktitle={Advances in Cryptology – CRYPTO 2018},
series={Lecture Notes in Computer Science},
publisher={Springer},
volume={10992},
pages={362-391},
doi={10.1007/978-3-319-96881-0_13},