Paper 2024/561

SQIAsignHD: SQIsignHD Adaptor Signature

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

Adaptor signatures can be viewed as a generalized form of the standard digital signature schemes where a secret randomness is hidden within a signature. Adaptor signatures are a recent cryptographic primitive and are becoming an important tool for blockchain applications such as cryptocurrencies to reduce on-chain costs, improve fungibility, and contribute to off-chain forms of payment in payment-channel networks, payment-channel hubs, and atomic swaps. However, currently used adaptor signature constructions are vulnerable to quantum adversaries 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, as the underlying hard relation. We, furthermore, show that our scheme is secure in the Quantum Random Oracle Model (QROM).

Available format(s)
Public-key cryptography
Publication info
Post-quantum CryptographyBlockchainIsogeny-based CryptographyAdaptor SignaturePayment Channel Network
Contact author(s)
farzin renan @ gmail com
p kutas @ bham ac uk
2024-04-23: revised
2024-04-11: received
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      author = {Farzin Renan and Péter Kutas},
      title = {SQIAsignHD: SQIsignHD Adaptor Signature},
      howpublished = {Cryptology ePrint Archive, Paper 2024/561},
      year = {2024},
      note = {\url{}},
      url = {}
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