[Resource Topic] 2023/1559: AprèsSQI: Extra Fast Verification for SQIsign Using Extension-Field Signing

Welcome to the resource topic for 2023/1559

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

Authors: Maria Corte-Real Santos, Jonathan Komada Eriksen, Michael Meyer, Krijn Reijnders

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 2.65 times faster, or up to 4.40 times when using size-speed trade-offs, without degrading the performance of signing.

ePrint: https://eprint.iacr.org/2023/1559

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There are awesome slides by Jonathan (@jo_k_er) from the Leuven Isogeny Days 4 here

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