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International Conference on Cryptology in India

INDOCRYPT 2013: Progress in Cryptology – INDOCRYPT 2013 pp 1–18Cite as

Key-Private Proxy Re-encryption under LWE

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8250))

Abstract

Proxy re-encryption (PRE) is a highly useful cryptographic primitive whereby Alice and Bob can endow a proxy with the capacity to change ciphertext recipients from Alice to Bob, without the proxy itself being able to decrypt, thereby providing delegation of decryption authority. Key-private PRE (KP-PRE) specifies an additional level of confidentiality, requiring pseudo-random proxy keys that leak no information on the identity of the delegators and delegatees.

In this paper, we propose a CPA-secure PK-PRE scheme in the standard model (which we then transform into a CCA-secure scheme in the random oracle model). Both schemes enjoy highly desirable properties such as uni-directionality and multi-hop delegation.

Unlike (the few) prior constructions of PRE and KP-PRE that typically rely on bilinear maps under ad hoc assumptions, security of our construction is based on the hardness of the standard Learning-With-Errors (LWE) problem, itself reducible from worst-case lattice hard problems that are conjectured immune to quantum cryptanalysis, or “post-quantum”.

Of independent interest, we further examine the practical hardness of the LWE assumption, using Kannan’s exhaustive search algorithm coupling with pruning techniques. This leads to state-of-the-art parameters not only for our scheme, but also for a number of other primitives based on LWE published the literature.

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Author information

Authors and Affiliations

  1. NICT, Japan

    Yoshinori Aono, Le Trieu Phong & Lihua Wang

  2. Queensland University of Technology, Australia

    Xavier Boyen

Authors
  1. Yoshinori Aono
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  2. Xavier Boyen
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  3. Le Trieu Phong
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  4. Lihua Wang
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Editor information

Editors and Affiliations

  1. R.C. Bose Centre for Cryptology and Security, Indian Statistical Institute, 203 B.T. Road, 700 108, Kolkata, India

    Goutam Paul

  2. EPFL - I&C - LASEC, INF 24, Station 14, 1015, Lausanne, Switzerland

    Serge Vaudenay

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Aono, Y., Boyen, X., Phong, L.T., Wang, L. (2013). Key-Private Proxy Re-encryption under LWE. In: Paul, G., Vaudenay, S. (eds) Progress in Cryptology – INDOCRYPT 2013. INDOCRYPT 2013. Lecture Notes in Computer Science, vol 8250. Springer, Cham. https://doi.org/10.1007/978-3-319-03515-4_1

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  • DOI: https://doi.org/10.1007/978-3-319-03515-4_1

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03514-7

  • Online ISBN: 978-3-319-03515-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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