### Functional Encryption with Secure Key Leasing

##### Abstract

Secure software leasing is a quantum cryptographic primitive that enables us to lease software to a user by encoding it into a quantum state. Secure software leasing has a mechanism that verifies whether a returned software is valid or not. The security notion guarantees that once a user returns a software in a valid form, the user no longer uses the software. In this work, we introduce the notion of secret-key functional encryption (SKFE) with secure key leasing, where a decryption key can be securely leased in the sense of secure software leasing. We also instantiate it with standard cryptographic assumptions. More specifically, our contribution is as follows. - We define the syntax and security definitions for SKFE with secure key leasing. - We achieve a transformation from standard SKFE into SKFE with secure key leasing without using additional assumptions. Especially, we obtain bounded collusion-resistant SKFE for $\mathsf{P/poly}$ with secure key leasing based on post-quantum one-way functions since we can instantiate bounded collusion-resistant SKFE for $\mathsf{P/poly}$ with the assumption. Some previous secure software leasing schemes capture only pirate software that runs on an honest evaluation algorithm (on a legitimate platform). However, our secure key leasing notion captures arbitrary attack strategies and does not have such a limitation. As an additional contribution, we introduce the notion of single-decryptor FE (SDFE), where each functional decryption key is copy-protected. Since copy-protection is a stronger primitive than secure software leasing, this notion can be seen as a stronger cryptographic primitive than FE with secure key leasing. More specifically, our additional contribution is as follows. - We define the syntax and security definitions for SDFE. - We achieve collusion-resistant single-decryptor PKFE for $\mathsf{P/poly}$ from post-quantum indistinguishability obfuscation and quantum hardness of the learning with errors problem.

Available format(s)
Category
Foundations
Publication info
A major revision of an IACR publication in ASIACRYPT 2022
Keywords
functional encryption secure key leasing copy-protection
Contact author(s)
fuyuki kitagawa yh @ hco ntt co jp
ryo nishimaki zk @ hco ntt co jp
History
2022-09-26: approved
See all versions
Short URL
https://ia.cr/2022/1252

CC BY

BibTeX

@misc{cryptoeprint:2022/1252,
author = {Fuyuki Kitagawa and Ryo Nishimaki},
title = {Functional Encryption with Secure Key Leasing},
howpublished = {Cryptology ePrint Archive, Paper 2022/1252},
year = {2022},
note = {\url{https://eprint.iacr.org/2022/1252}},
url = {https://eprint.iacr.org/2022/1252}
}

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