International Association for Cryptologic Research

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Tightly, Adaptively Secure Proxy Re-Encryption in Multi-Challenge Setting

Authors:
Yunhao Ling , The Hong Kong Polytechnic University
Jie Chen , Wuhan University
Zijian Bao , The Hong Kong Polytechnic University
Man Ho Au , The Hong Kong Polytechnic University
Luping Wang , Suzhou University of Science and Technology
Haifeng Qian , East China Normal University
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Conference: ASIACRYPT 2025
Abstract: Proxy Re-Encryption (PRE) enables a proxy to transform ciphertexts encrypted under Alice's key into ciphertexts under Bob's key, allowing Bob to decrypt them. As a powerful cryptographic primitive, PRE has been extensively studied over the past two decades. However, an open problem remains unresolved, namely constructing an adaptively secure PRE scheme where the security reduction is tight. In this paper, we present the first PRE scheme that achieves adaptive security in a strong multi-challenge setting, with a tight security reduction. Our multi-challenge setting allows the adversary to obtain multiple challenge ciphertexts for multiple target users, which models a more realistic and powerful adversary. In contrast, prior works established adaptive security only in the weaker single-challenge setting, where the adversary is limited to a single challenge query. Moreover, these schemes suffer from significant security losses of n^{O(log n)} for trees and chains, and n^{O(n)} for general graphs, where n is the number of users. Our construction is based on composite-order bilinear groups, and the security is proven in the standard model. The results indicate that our security guarantees do not degrade with respect to either the number of users or the number of ciphertexts, thanks to the tight reduction.
BibTeX
@inproceedings{asiacrypt-2025-36008,
  title={Tightly, Adaptively Secure Proxy Re-Encryption in Multi-Challenge Setting},
  publisher={Springer-Verlag},
  author={Yunhao Ling and Jie Chen and Zijian Bao and Man Ho Au and Luping Wang and Haifeng Qian},
  year=2025
}