Paper 2025/1673

Strong Designated Verifier Signatures with Non-delegatability from CSIDH

Hiroki Minamide, National Institute of Technology, Tokyo College, Institute of Science Tokyo
Keisuke Tanaka, Institute of Science Tokyo
Masayuki Tezuka, Institute of Science Tokyo
Abstract

Abstract. Designated verifier signature allows a signer to designate a verifier who can verify the signature. A strong designated verifier signature (SDVS) enhances privacy by ensuring that the signature itself does not leak information about the signer’s identity to anyone other than the designated verifier. Non-delegatability is a property, as it prevents the signer’s ability to generate valid signatures from being delegated to others. This property is important for SDVS applications such as e-voting. To date, post-quantum SDVS schemes with non-delegatability have been proposed. These schemes are lattice-based or hash-based schemes. While isogeny-based SDVS schemes have been proposed, none of the existing works provide a proof of non-delegatability. In this paper, we present the first isogeny-based SDVS scheme with a formal proof of non-delegatability. Our construction uses the quadratic twists of elliptic curves. The security of our scheme is proven under the commutative supersingular isogeny gap Diffie–Hellman assumption and the group action inversion problem assumption in the random oracle model.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. ICISC 2025
Keywords
Strong designated verifier signatureNon-delegatabilityCSIDHQuadratic twist
Contact author(s)
minamide @ tokyo-ct ac jp
keisuke @ is titech ac jp
tezuka m eab3 @ m isct ac jp
History
2025-12-15: last of 6 revisions
2025-09-16: received
See all versions
Short URL
https://ia.cr/2025/1673
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2025/1673,
      author = {Hiroki Minamide and Keisuke Tanaka and Masayuki Tezuka},
      title = {Strong Designated Verifier Signatures with Non-delegatability from {CSIDH}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1673},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1673}
}
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