ArticCrypt 2025

21 November 2024

The paper "More Efficient Isogeny Proofs of Knowledge via Canonical Modular Polynomials" by the QuSAC group and CODE colleague Sören Kleine was recently accepted for the ArcticCrypt 2025 conference, which will take place in Longyearbyen, Svalbard on July 6th-11th 2025.
The article analyzes the so called canonical modular polynomials and their relation to the classical modular polynomials to obtain more efficient and more general isogeny-based proofs of knowledge compared to the previous approach based on the second classical modular polynomial. A preprint of the paper can be found in the IACR Cryptology ePrint Archive.

Picture: The iconic "pointy houses" of Longyearbyen, Norway. ©Bjørn Christian Tørrissen

Aktuelles

The Isogeny Club

On 19 November 2024, a researcher from QuSAC, Marzio Mula, delivered an online talk for the Isogeny Club. His presentation focused on recent developments in his article The Hessian of Elliptic Curves, co-authored with F. Pintore and D. Taufer. Slides and recording of the seminar are available online.

Cifris24

A QuSAC researcher, Marzio Mula, attended the conference Cifris24 held in Rome on September 25-27, 2024. He also presented a recent work by the QuSAC group, together with CODE colleague Sören Kleine, on proving knowledge of isogenies.

Workshop in Edinburgh

A researcher from QuSaC, Thomas den Hollander, participated in the 5-day workshop Foundations and Applications of Zero-Knowledge Proofs in Edinburgh. It was an opportunity to broaden his knowledge of modern zero-knowledge proof systems as well as meet and discuss with other researchers in the area. He also presented the recent QuSaC-paper "A Crack in the Firmament: Restoring Soundness of the Orion Proof System and More".

Leuven Isogeny Days 5

Two researchers from the QuSAC lab (Marzio Mula and Sebastian Spindler) attended the 5th installment of the Isogeny Days in Leuven (Belgium) from 11 to 13 September 2024. The main themes discussed in the talks and in the brainstorming sessions revolve around the use of higher-dimensional abelian varieties, generalized pairings, and quaternion algebras for both constructive and destructive purposes in isogeny-based protocols. A recent preprint co-authored by one of our researchers (Marzio Mula) "The Hessian of elliptic curves" was also presented during the workshop.

Congratulations Dr. Mula!

We warmly congratulate Marzio Mula on the successful defence of his PhD thesis "Graphs and pairings of elliptic curves" at the University of Trento! The QuSAC Lab is now thrilled to welcome Marzio as our first PostDoc! A warm welcome, all the best and much success in our team!

Welcome to the team!

The QuSAC Lab is thrilled to welcome Sebastian Spindler and Thomas den Hollander as new PhD students. A warm welcome, all the best and much success in our team!