International Association for Cryptologic Research

International Association
for Cryptologic Research

EUROCRYPT 2024

AprèsSQI: Extra Fast Verification for SQIsign Using Extension-Field Signing


Maria Corte-Real Santos
Univeristy College London

Jonathan Komada Eriksen
Norwegian University of Science and Technology

Michael Meyer
University of Regensburg

Krijn Reijnders
Radboud University


Keywords:


Abstract

We optimise the verification of the SQIsign signature scheme. By using field extensions in the signing procedure, we are able to significantly increase the amount of available rational 2-power torsion in verification, which achieves a significant speed-up. This, moreover, allows several other speed-ups on the level of curve arithmetic. We show that the synergy between these high-level and low-level improvements gives significant improvements, making verification 2.07 times faster, or up to 3.41 times when using size-speed trade-offs, compared to the state of the art, without majorly degrading the performance of signing.

Publication

EUROCRYPT 2024

Paper

Artifact

Artifact number
eurocrypt/2024/a4

Artifact published
June 15, 2024

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BibTeX How to cite

Corte-Real Santos, M., Eriksen, J.K., Meyer, M., Reijnders, K. (2024). AprèsSQI: Extra Fast Verification for SQIsign Using Extension-Field Signing. In: Joye, M., Leander, G. (eds) Advances in Cryptology – EUROCRYPT 2024. EUROCRYPT 2024. Lecture Notes in Computer Science, vol. 14651. Springer, Cham. https://doi.org/10.1007/978-3-031-58716-0_3. Artifact available at https://artifacts.iacr.org/eurocrypt/2024/a4