SQIsign

SQIsign
General
DesignersJorge Chavez-Saab, Maria Corte-Real Santos, Luca De Feo, Jonathan Komada Eriksen, Basil Hess, David Kohel, Antonin Leroux, Patrick Longa, Michael Meyer, Lorenz Panny, Sikhar Patranabis, Christophe Petit, Francisco Rodríguez Henríquez, Sina Schaeffler, Benjamin Wesolowski[1]
First published1 June 2023 (17 months ago) (2023-06-01)
Cipher detail
Key sizes64, 96 or 128 bytes depending on the NIST parameter set[2]
StructureSupersingular isogeny graph
Best public cryptanalysis
No known attacks. The SQIsign2D-East variant suffers from a specific vulnerability.[3]

SQIsign is a post-quantum signature scheme submitted to first round of the post-quantum standardisation process. It is based around a proof of knowledge of an elliptic curve[a] endomorphism that can be transformed to a signature scheme using the Fiat-Shamir transform.

It promises small key sizes between 64 and 128 bytes and small signature sizes between 177 and 335 bytes, which outperforms other post-quantum signature schemes that have a trade-off between signature and key sizes. SQIsign, however, has higher signing and verification times.[4] The original paper concluded that their C implementation takes 0.6s for key generation, 2.5s for a sign operation and 0.05s or 50ms for a verification operation.[5]

These times have been improved with new variations like SQIsign-east.[6]

The name stands for "Short Quaternion and Isogeny Signature" as it makes use of isogenies and quaternions.

  1. ^ "SQIsign - Algorithm specifications and supporting documentation - Version 1.0" (PDF). Retrieved 2024-11-15.
  2. ^ "SQIsign - Algorithm specifications and supporting documentation - Version 1.0" (PDF). p. 4. Retrieved 2024-11-15.
  3. ^ Cite error: The named reference east was invoked but never defined (see the help page).
  4. ^ Westerbaan, Bas; Larisch, James; Ahmad, Suleman; Fayed, Marwan; Westerbaan, Bas; Valenta, Luke; Krivit, Alex (2021-11-08). "Sizing Up Post-Quantum Signatures". The Cloudflare Blog. Retrieved 2024-11-15.
  5. ^ Feo, Luca De; Kohel, David; Leroux, Antonin; Petit, Christophe; Wesolowski, Benjamin (2020). "SQISign: compact post-quantum signatures from quaternions and isogenies". Cryptology ePrint Archive. Retrieved 2024-11-18.
  6. ^ Nakagawa, Kohei; Onuki, Hiroshi (2024). "SQIsign2D-East: A New Signature Scheme Using 2-dimensional Isogenies". Cryptology ePrint Archive. Retrieved 2024-11-15.


Cite error: There are <ref group=lower-alpha> tags or {{efn}} templates on this page, but the references will not show without a {{reflist|group=lower-alpha}} template or {{notelist}} template (see the help page).