SQIAsignHD: SQIsignHD adaptor signature


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Renan F., Kutas P.

Cryptography and Communications, cilt.18, sa.4, ss.1243-1279, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s12095-026-00912-z
  • Dergi Adı: Cryptography and Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Compendex, INSPEC, MathSciNet, zbMATH, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Sayfa Sayıları: ss.1243-1279
  • Anahtar Kelimeler: Adaptor signature, Isogeny-based cryptography, Post-quantum cryptography
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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 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.