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Lattice-Based Group Encryption with Full Dynamicity and Message Filtering Policy

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Advances in Cryptology – ASIACRYPT 2021 (ASIACRYPT 2021)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 13093))

Abstract

Group encryption (GE) is a fundamental privacy-preserving primitive analog of group signatures, which allows users to decrypt specific ciphertexts while hiding themselves within a crowd. Since its first birth, numerous constructions have been proposed, among which the schemes separately constructed by Libert et al. (Asiacrypt 2016) over lattices and by Nguyen et al. (PKC 2021) over coding theory are post-quantum secure. Though the last scheme, at the first time, achieved the full dynamicity (allowing group users to join or leave the group in their ease) and message filtering policy, which greatly improved the state-of-affairs of GE systems, its practical applications are still limited due to the rather complicated design, inefficiency and the weaker security (secure in the random oracle model). In return, the Libert et al.’s scheme possesses a solid security (secure in the standard model), but it lacks the previous functions and still suffers from inefficiency because of extremely using lattice trapdoors. In this work, we re-formalize the model and security definitions of fully dynamic group encryption (FDGE) that are essentially equivalent to but more succinct than Nguyen et al.’s; Then, we provide a generic and efficient zero-knowledge proof method for proving that a binary vector is non-zero over lattices, on which a proof for the Prohibitive message filtering policy in the lattice setting is first achieved (yet in a simple manner); Finally, by combining appropriate cryptographic materials and our presented zero-knowledge proofs, we achieve the first lattice-based FDGE scheme in a simpler manner, which needs no any lattice trapdoor and is proved secure in the standard model (assuming interaction during the proof phase), outweighing the existing post-quantum secure GE systems in terms of functions, efficiency and security.

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Notes

  1. 1.

    It is defined as \(R_\textsf {permi}=\{((\mathbf {s}_{i})_{i=1}^{e},\mathbf {m})\in (\{0,1\}^{t})^e \times \{0,1\}^m:\exists i\in [e] \text {s.t.} \mathbf {s}_{i} \sqsubset \mathbf {m}\}\).

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Acknowledgement

This work has been supported by National Cryptography Development Fund (No. MMJJ20180110), National Natural Science Foundation of China (No. 61960206014), (No. 62121001) and (No. 61972429), and Guangdong Major Project of Basic and Applied Basic Research (No. 2019B030302008).

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Authors and Affiliations

  1. State Key Laboratory of Integrated Service Networks (ISN), Xidian University, Xi’an, 710071, China

    Jing Pan & Xiaofeng Chen

  2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing, 100878, China

    Jing Pan & Xiaofeng Chen

  3. School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, 510006, China

    Fangguo Zhang

  4. Guangdong Province Key Laboratory of Information Security Technology, Guangzhou, 510006, China

    Fangguo Zhang

  5. Institute of Cybersecurity and Cryptology, School of Computing and Information Technology, University of Wollongong, Wollongong, NSW, 2522, Australia

    Willy Susilo

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  1. Jing Pan
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  2. Xiaofeng Chen
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Correspondence to Xiaofeng Chen .

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Editors and Affiliations

  1. NTT Corporation, Tokyo, Japan

    Mehdi Tibouchi

  2. Nanyang Technological University, Singapore, Singapore

    Huaxiong Wang

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Pan, J., Chen, X., Zhang, F., Susilo, W. (2021). Lattice-Based Group Encryption with Full Dynamicity and Message Filtering Policy. In: Tibouchi, M., Wang, H. (eds) Advances in Cryptology – ASIACRYPT 2021. ASIACRYPT 2021. Lecture Notes in Computer Science(), vol 13093. Springer, Cham. https://doi.org/10.1007/978-3-030-92068-5_6

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