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Paper: Short Pairing-Free Blind Signatures with Exponential Security

Authors:
Stefano Tessaro , University of Washington
Chenzhi Zhu , University of Washington
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Presentation: Slides
Conference: EUROCRYPT 2022
Abstract: This paper proposes the first practical pairing-free three-move blind signature schemes that (1) are concurrently secure, (2) produce short signatures (i.e., {\em three} or {\em four} group elements/scalars), and (3) are provably secure either in the generic group model (GGM) or the algebraic group model (AGM) under the (plain or one-more) discrete logarithm assumption (beyond additionally assuming random oracles). We also propose a partially blind version of one of our schemes. Our schemes do not rely on the hardness of the ROS problem (which can be broken in polynomial time) or of the mROS problem (which admits sub-exponential attacks). The only prior work with these properties is Abe's signature scheme (EUROCRYPT '02), which was recently proved to be secure in the AGM by Kastner et al. (PKC '22), but which also produces signatures twice as long as those from our scheme. The core of our proofs of security is a new problem, called {\em weighted} {\em fractional} ROS (WFROS), for which we prove (unconditional) exponential lower bounds.
Video from EUROCRYPT 2022
BibTeX
@inproceedings{eurocrypt-2022-31922,
  title={Short Pairing-Free Blind Signatures with Exponential Security},
  publisher={Springer-Verlag},
  author={Stefano Tessaro and Chenzhi Zhu},
  year=2022
}