Revocable Cryptography from Learning with Errors

Autor: Ananth, Prabhanjan, Poremba, Alexander, Vaikuntanathan, Vinod
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: Quantum cryptography leverages many unique features of quantum information in order to construct cryptographic primitives that are oftentimes impossible classically. In this work, we build on the no-cloning principle of quantum mechanics and design cryptographic schemes with key-revocation capabilities. We consider schemes where secret keys are represented as quantum states with the guarantee that, once the secret key is successfully revoked from a user, they no longer have the ability to perform the same functionality as before. We define and construct several fundamental cryptographic primitives with key-revocation capabilities, namely pseudorandom functions, secret-key and public-key encryption, and even fully homomorphic encryption, assuming the quantum subexponential hardness of the learning with errors problem. Central to all our constructions is our approach for making the Dual-Regev encryption scheme (Gentry, Peikert and Vaikuntanathan, STOC 2008) revocable.
Comment: 92 pages. Revised version. Proceedings of TCC 2023
Databáze: arXiv