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<p>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 scheme, 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, currently implemented adaptor signature constructions, which are based on the hardness of number-theoretic assumptions such as the discrete logarithm, are vulnerable to quantum attacks due to Shor’s algorithm. In this work, we introduce <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\textsf{SQIAsignHD}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="sans-serif">SQIAsignHD</mi> </math></EquationSource> </InlineEquation>, 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, formally prove the security of our proposed scheme.</p>

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SQIAsignHD: SQIsignHD adaptor signature

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • Farzin Renan,
  • Péter Kutas

摘要

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 scheme, 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, currently implemented adaptor signature constructions, which are based on the hardness of number-theoretic assumptions such as the discrete logarithm, are vulnerable to quantum attacks due to Shor’s algorithm. In this work, we introduce \(\textsf{SQIAsignHD}\) 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, formally prove the security of our proposed scheme.