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Practical Round-Optimal Blind Signatures in the Standard Model from Weaker Assumptions

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Book cover Security and Cryptography for Networks (SCN 2016)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9841))

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Abstract

At Crypto 2015 Fuchsbauer, Hanser and Slamanig (FHS) presented the first standard-model construction of efficient round-optimal blind signatures that does not require complexity leveraging. It is conceptually simple and builds on the primitive of structure-preserving signatures on equivalence classes (SPS-EQ). FHS prove the unforgeability of their scheme assuming EUF-CMA security of the SPS-EQ scheme and hardness of a version of the DH inversion problem. Blindness under adversarially chosen keys is proven under an interactive variant of the DDH assumption.

We propose a variant of their scheme whose blindness can be proven under a non-interactive assumption, namely a variant of the bilinear DDH assumption. We moreover prove its unforgeability assuming only unforgeability of the underlying SPS-EQ but no additional assumptions as needed for the FHS scheme.

C. Hanser—Supported by EU FP7 through project MATTHEW (GA No. 610436).

C. Kamath—Research supported by the European Research Council, ERC starting grant (259668-PSPC) and ERC consolidator grant (682815 - TOCNeT).

C. Hanser and D. Slamanig—Supported by EU Horizon 2020 through project Prismacloud (GA No. 644962).

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Notes

  1. 1.

    For BN-curves [9], the most common choice for Type-3 pairings, group generation is deterministic.

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Author information

Authors and Affiliations

  1. Inria, ENS, CNRS and PSL Research University, Paris, France

    Georg Fuchsbauer

  2. IAIK, Graz University of Technology, Graz, Austria

    Christian Hanser & Daniel Slamanig

  3. Institute of Science and Technology Austria, Klosterneuburg, Austria

    Chethan Kamath

Authors
  1. Georg Fuchsbauer
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  2. Christian Hanser
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  3. Chethan Kamath
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  4. Daniel Slamanig
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Corresponding author

Correspondence to Christian Hanser .

Editor information

Editors and Affiliations

  1. Rensselaer Polytechnic Institute, Troy, New York, USA

    Vassilis Zikas

  2. University of Salerno, Fisciano, Italy

    Roberto De Prisco

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Fuchsbauer, G., Hanser, C., Kamath, C., Slamanig, D. (2016). Practical Round-Optimal Blind Signatures in the Standard Model from Weaker Assumptions. In: Zikas, V., De Prisco, R. (eds) Security and Cryptography for Networks. SCN 2016. Lecture Notes in Computer Science(), vol 9841. Springer, Cham. https://doi.org/10.1007/978-3-319-44618-9_21

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  • DOI: https://doi.org/10.1007/978-3-319-44618-9_21

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