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Paper 2023/560

A Framework for Practical Anonymous Credentials from Lattices

Jonathan Bootle, IBM Research - Zurich
Vadim Lyubashevsky, IBM Research - Zurich
Ngoc Khanh Nguyen, École Polytechnique Fédérale de Lausanne
Alessandro Sorniotti, IBM Research - Zurich
Abstract

We present a framework for building practical anonymous credential schemes based on the hardness of lattice problems. The running time of the prover and verifier is independent of the number of users and linear in the number of attributes. The scheme is also compact in practice, with the proofs being as small as a few dozen kilobytes for arbitrarily large (say up to $2^{128}$) users with each user having several attributes. The security of our scheme is based on a new family of lattice assumptions which roughly states that given short pre-images of random elements in some set $S$, it is hard to create a pre-image for a fresh element in such a set. We show that if the set admits efficient zero-knowledge proofs of knowledge of a commitment to a set element and its pre-image, then this yields practically-efficient privacy-preserving primitives such as blind signatures, anonymous credentials, and group signatures. We propose a candidate instantiation of a function from this family which allows for such proofs and thus yields practical lattice-based primitives.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
A major revision of an IACR publication in CRYPTO 2023
Keywords
anonymous credentialslatticesblind signatures
Contact author(s)
jbt @ zurich ibm com
vad @ zurich ibm com
khanh nguyen @ epfl ch
aso @ zurich ibm com
History
2023-07-25: last of 2 revisions
2023-04-20: received
See all versions
Short URL
https://ia.cr/2023/560
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2023/560,
      author = {Jonathan Bootle and Vadim Lyubashevsky and Ngoc Khanh Nguyen and Alessandro Sorniotti},
      title = {A Framework for Practical Anonymous Credentials from Lattices},
      howpublished = {Cryptology ePrint Archive, Paper 2023/560},
      year = {2023},
      note = {\url{https://eprint.iacr.org/2023/560}},
      url = {https://eprint.iacr.org/2023/560}
}
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