Paper 2024/561

SQIAsignHD: SQIsignHD Adaptor Signature

Farzin Renan, Middle East Technical University
Péter Kutas, Eötvös Loránd University, University of Birmingham
Abstract

Adaptor signatures can be viewed as a generalized form of standard digital signature schemes by linking message authentication to the disclosure of a secret value. As a recent cryptographic primitive, they have become essential for blockchain applications, including cryptocurrencies, by reducing on-chain costs, improving fungibility, and enabling off-chain payments in payment-channel networks, payment-channel hubs, and atomic swaps. However, existing adaptor signature constructions are vulnerable to quantum attacks due to Shor's algorithm. In this work, we introduce $\mathsf{SQIAsignHD}$, a new quantum-resistant adaptor signature scheme based on isogenies of supersingular elliptic curves, using SQIsignHD - as the underlying signature scheme - and exploiting the idea of the artificial orientation on the supersingular isogeny Diffie-Hellman key exchange protocol, SIDH, to define the underlying hard relation. We, furthermore, provide a formal security proof for our proposed scheme.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
Post-quantum CryptographyBlockchainIsogeny-based CryptographyAdaptor SignaturePayment Channel Network
Contact author(s)
farzin renan @ gmail com
p kutas @ bham ac uk
History
2025-04-14: last of 2 revisions
2024-04-11: received
See all versions
Short URL
https://ia.cr/2024/561
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/561,
      author = {Farzin Renan and Péter Kutas},
      title = {{SQIAsignHD}: {SQIsignHD} Adaptor Signature},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/561},
      year = {2024},
      url = {https://eprint.iacr.org/2024/561}
}
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