Algebraic groups at the heart of post-quantum cryptography

Project Information

AGATHA CRYPTY

Grant agreement ID: 101116169

DOI

10.3030/101116169

EC signature date 17 November 2023

Start date 1 January 2024

End date 31 December 2028

Funded under

• European Research Council (ERC)

Total cost

€ 1 448 540,00

EU contribution

€ 1 448 540,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Book chapters (6)

PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies

Author(s): Pierrick Dartois, Jonathan Komada Eriksen, Tako Boris Fouotsa, Arthur Herlédan Le Merdy, Riccardo Invernizzi, Damien Robert, Ryan Rueger, Frederik Vercauteren, Benjamin Wesolowski
Published in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2025, 2026
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-032-01855-7_3

The Supersingular Endomorphism Ring and One Endomorphism Problems are Equivalent

Author(s): Aurel Page, Benjamin Wesolowski
Published in: Lecture Notes in Computer Science, Advances in Cryptology – EUROCRYPT 2024, 2024
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-031-58751-1_14

SQIsign2D–West

Author(s): Andrea Basso, Pierrick Dartois, Luca De Feo, Antonin Leroux, Luciano Maino, Giacomo Pope, Damien Robert, Benjamin Wesolowski
Published in: Lecture Notes in Computer Science, Advances in Cryptology – ASIACRYPT 2024, 2024
Publisher: Springer Nature Singapore
DOI: 10.1007/978-981-96-0891-1_11

Unconditional Foundations for Supersingular Isogeny-Based Cryptography

Author(s): Arthur Herlédan Le Merdy, Benjamin Wesolowski
Published in: Lecture Notes in Computer Science, Theory of Cryptography, 2025
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-032-12296-4_9

A Complete Security Proof of SQIsign

Author(s): Marius A. Aardal, Andrea Basso, Luca De Feo, Sikhar Patranabis, Benjamin Wesolowski
Published in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2025, 2025
Publisher: Springer Nature Switzerland
DOI: 10.1007/978-3-032-01887-8_7

$$\textsf{Qlapoti}$$: Simple and Efficient Translation of Quaternion Ideals to Isogenies

Author(s): Giacomo Borin, Maria Corte-Real Santos, Jonathan Komada Eriksen, Riccardo Invernizzi, Marzio Mula, Sina Schaeffler, Frederik Vercauteren
Published in: Lecture Notes in Computer Science, Advances in Cryptology – ASIACRYPT 2025, 2025
Publisher: Springer Nature Singapore
DOI: 10.1007/978-981-95-5113-2_6

Peer reviewed articles (2)

Return of the Kummer: a Toolbox for Genus-2 Cryptography

Author(s): Maria Santos, Krijn Reijnders
Published in: IACR Communications in Cryptology, Issue 2, 2026, ISSN 3006-5496
Publisher: International Association for Cryptologic Research
DOI: 10.62056/A0ZOGYL7S

Efficient Algorithms for the Detection of (N, N)-Splittings and Endomorphisms

Author(s): Maria Corte-Real Santos, Craig Costello, Sam Frengley
Published in: Journal of Cryptology, Issue 39, 2026, ISSN 0933-2790
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00145-025-09552-7