Paper 2024/561
SQIAsignHD: SQIsignHD Adaptor Signature
Abstract
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).
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
- 2024-04-23: revised
- 2024-04-11: received
- See all versions
- Short URL
- https://ia.cr/2024/561
- License
-
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}
}