Some papers, presentations and other work related stuff.
Papers
PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies
Pierrick Dartois, Jonathan Komada Eriksen, Tako Boris Fouotsa, Arthur Herlédan Le Merdy, Riccardo Invernizzi, Damien Robert, Ryan Rueger, Frederik Vercauteren and Benjamin Wesolowski.
2025, eprint
PEARL-SCALLOP: Parameter Extension Applicable in Real-Life SCALLOP
Bill Allombert, Jean-François Biasse, Jonathan Komada Eriksen, Péter Kutas, Chris Leonardi, Aurel Page, Renate Scheidler and Márton Tot Bagi.
2024, eprint
Generalized class group actions on oriented elliptic curves with level structure
Sarah Arpin, Wouter Castryck, Jonathan Komada Eriksen, Gioella Lorenzon and Frederik Vercauteren.
2024, eprint
Finding Practical Parameters for Isogeny-based Cryptography
Maria Corte-Real Santos, Jonathan Komada Eriksen, Michael Meyer and Francisco Rodríguez-Henríquez.
2024, eprint
Computing Orientations from the Endomorphism Ring of Supersingular Curves and Applications
Jonathan Komada Eriksen and Antonin Leroux.
2024, eprint
AprèsSQI: Extra Fast Verification for SQIsign Using Extension-Field Signing
Maria Corte-Real Santos, Jonathan Komada Eriksen, Michael Mayer and Krijn Reijnders.
2023, eprint
Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders
Sarah Arpin, James Clements, Pierrick Dartois, Jonathan Komada Eriksen, Péter Kutas and Benjamin Wesolowski.
2023, eprint
Deuring for the People: Supersingular Elliptic Curves with Prescribed Endomorphism Ring in General Characteristic
Jonathan Komada Eriksen, Lorenz Panny, Jana Sotáková, and Mattia Veroni.
2023, eprint
Cryptographic Smooth Neighbors
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Naehrig, Michael Meyer and Bruno Sterner.
2022, eprint
Stuff
SQIsign - NIST Submission Package
Jorge 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.
2023, Website
Learning to SQI - SageMath Implementation of SQISign
Maria Corte-Real Santos, Giacomo Pope, Jonathan Komada Eriksen, Michael Meyer.
2023, Code, Blogpost (by Maria and Jack)
Presentations
Effective Group Actions - The road to PEGASIS
Seminar at INRIA de Saclay, Paris
2025, slides
Isogeny-Based Cryptography - an Introduction
NTNU Algebra Seminar
2025, slides
Kryptografi - Fortid, Nåtid, og en Kvantesikker Fremtid
NSM Partner Nettverk
2024, slides
The Quaternion Embedding Problem: Applications and Algorithms
KULB Seminar, Leuven
2024, slides
AprèsSQI: A Pretty Rad Extension to Signing in SQIsign
Leuven Isogeny Days 4
2023, slides
Kvantesikker Kryptografi: Starten på Slutten?
Sikkerhetsfestivalen, Lillehammer
2023, slides
Morgendagens Kryptografi
Kick-off for new national digitalisationstrategy, Trondheim
2023, recording, slides
Deuring for the People
The Isogeny Club - Season 2
2023, recording, slides
Magiske Isogenier
NKS2022 - Norsk Krypto Seminar
2022, slides
Theses
Supersingular Endomorphism Rings: Algorithms and Applications
Jonathan Komada Eriksen.
PhD thesis, Norwegian University of Science and Technology.
2024, read, NTNU open, errata
Applying Twisted Hessian Curves to Supersingular Isogeny Diffie-Hellman
Jonathan Komada Eriksen.
M.Sc. thesis, Norwegian University of Science and Technology.
2021, read, NTNU open