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International Conference on Applied Cryptography and Network Security

ACNS 2019: Applied Cryptography and Network Security pp 363–382Cite as

Proxy Re-Encryption and Re-Signatures from Lattices

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 11464))

Abstract

Proxy re-encryption (PRE) and Proxy re-signature (PRS) were introduced by Blaze, Bleumer and Strauss [Eurocrypt ’98]. Basically, PRE allows a semi-trusted proxy to transform a ciphertext encrypted under one key into an encryption of the same plaintext under another key, without revealing the underlying plaintext. Since then, many interesting applications have been explored, and constructions in various settings have been proposed. On the other hand, PRS allows a semi-trusted proxy to transform Alice’s signature on a message into Bob’s signature on the same message, but the proxy cannot produce new valid signature on new messages for either Alice or Bob.

In this work, we first point out a subtle mistake in the security proof of the work by Kirshanova (PKC ’14), who proposed a lattice-based CCA1 PRE. Thus, this reopens the direction of lattice-based CCA1-secure constructions, even in the single-hop setting. Then we construct a single-hop PRE scheme that is proven secure in our new tag-based CCA-PRE model. Next, we construct the first multi-hop PRE construction. Lastly, we also construct the first PRS scheme from lattices that is proved secure in our proposed unified security model.

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Notes

  1. 1.

    CCA1 security is weaker in the sense that the attacker does not have the decryption oracle after receiving the challenge ciphertext.

  2. 2.

    Under current techniques, zero knowledge proof systems based on pure lattices assumptions either require interactions or random oracles.

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Acknowledgement

Xiong Fan is supported by NSF Award CNS-1561209. Feng-Hao Liu is supported by the NSF Award CNS-1657040. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the sponsors.

Author information

Authors and Affiliations

  1. Cornell University, Ithaca, NY, USA

    Xiong Fan

  2. Florida Atlantic University, Boca Raton, FL, USA

    Feng-Hao Liu

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  1. Xiong Fan
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  2. Feng-Hao Liu
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Correspondence to Xiong Fan .

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Editors and Affiliations

  1. Singapore Management University, Singapore, Singapore

    Robert H. Deng

  2. Universidad del Rosario, Bogota, Colombia

    Valérie Gauthier-Umaña

  3. Cyxtera Technologies, Bogota, Colombia

    Martín Ochoa

  4. Columbia University, New York, NY, USA

    Moti Yung

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Fan, X., Liu, FH. (2019). Proxy Re-Encryption and Re-Signatures from Lattices. In: Deng, R., Gauthier-Umaña, V., Ochoa, M., Yung, M. (eds) Applied Cryptography and Network Security. ACNS 2019. Lecture Notes in Computer Science(), vol 11464. Springer, Cham. https://doi.org/10.1007/978-3-030-21568-2_18

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  • DOI: https://doi.org/10.1007/978-3-030-21568-2_18

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