Giacomo Borin

@gbor.in

TL;DR: - SQIsign more general than initially thought. - More space for protocol design! - SQIsign NIST v2 still the best signature, by a small margin. Ilinca already foreshadowed some of this in www.youtube.com/watch?v=5tGb..., though that's a different POV we're still writing up.

ePrint Updates@eprint.ing.bot · 5mo ago

The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures (Giacomo Borin, Luca De Feo, Guido Maria Lido, Sina Schaeffler) ia.cr/2026/493

Abstract. We explore the use of level structures to generalize the SQIsign signature scheme. We give a general framework where, given the public key and the commitment, the challenge is to exhibit an isogeny between them with an additional requirement, namely to map a chosen level structure to nother. We then instantiate the framework using 1-dimensional and 2-dimensional isogenies.
In doing that we provide a new explicit Deuring correspondence for supersingular elliptic curves with level structures and solve new constrained norm equations.

We're organizing a workshop on cryptographic group actions bringing together the isogeny and code communities. The workshop is just before Eurocrypt, a quick train away from Rome in the beautiful Marche. Early registration ends this week, so grab your spot soon! magic-workshop.github.io

MaGIC 2026 - Marche Workshop on Group Actions in Cryptography

A workshop dedicated to the study of cryptographic group actions, a rapidly evolving area at the intersection of algebraic geometry, number theory, and post-quantum cryptography. The workshop will bri...

magic-workshop.github.io