Isogeny-based Toolbox for Post-quantum Cryptography

Informazioni relative al progetto

ISOCRYPT

ID dell’accordo di sovvenzione: 101020788

DOI

10.3030/101020788

Data della firma CE 18 Luglio 2021

Data di avvio 1 Gennaio 2022

Data di completamento 31 Dicembre 2027

Finanziato da

• EXCELLENT SCIENCE - European Research Council (ERC)

Costo totale

€ 2 495 575,00

Contributo UE

€ 2 495 575,00

Coordinato da

KATHOLIEKE UNIVERSITEIT LEUVEN
Belgium

CORDIS fornisce collegamenti ai risultati finali pubblici e alle pubblicazioni dei progetti ORIZZONTE.

I link ai risultati e alle pubblicazioni dei progetti del 7° PQ, così come i link ad alcuni tipi di risultati specifici come dataset e software, sono recuperati dinamicamente da .OpenAIRE .

Risultati finali

Open Research Data Pilot (1)

Data Management Plan (DMP)

Data Management Plan DMP

Pubblicazioni

Conference proceedings (9)

Genus formulas for families of modular curves

Autori: Hamakiotes, Asimina; Lau, Jun Bo
Pubblicato in: Contemporary Mathematics, Numero 2025, 2025
Editore: American Mathematical Society

Two Remarks on the Vectorization Problem

Autori: Wouter Castryck, Natan Vander Meeren
Pubblicato in: Progress in Cryptology – INDOCRYPT 2022, Numero Lecture Notes in Computer Science book series (LNCS,volume 13774), 2023, Pagina/e 658–678, ISBN 978-3-031-22912-1
Editore: Springer, Cham
DOI: 10.1007/978-3-031-22912-1_29

Efficient Computation of (3n,3n) -Isogenies

Autori: Thomas Decru, Sabrina Kunzweiler
Pubblicato in: Progress in Cryptology - AFRICACRYPT 2023, Numero Lecture Notes in Computer Science book series (LNCS,volume 14064), 2023, Pagina/e 53–78, ISBN 978-3-031-37679-5
Editore: Springer, Cham
DOI: 10.1007/978-3-031-37679-5_3

Weak Instances of Class Group Action Based Cryptography via Self-pairings

Autori: Wouter Castryck, Marc Houben, Simon-Philipp Merz, Marzio Mula, Sam van Buuren, Frederik Vercauteren
Pubblicato in: Advances in Cryptology – CRYPTO 2023, Numero Lecture Notes in Computer Science book series (LNCS,volume 14083), 2023, Pagina/e 762–792, ISBN 978-3-031-38548-3
Editore: Springer, Cham
DOI: 10.1007/978-3-031-38548-3_25

Horizontal Racewalking Using Radical Isogenies

Autori: Wouter Castryck, Thomas Decru, Marc Houben, Frederik Vercauteren
Pubblicato in: Advances in Cryptology – ASIACRYPT 2022, Numero Lecture Notes in Computer Science book series (LNCS,volume 13792), 2023, Pagina/e 67–96, ISBN 978-3-031-22966-4
Editore: Springer, Cham
DOI: 10.1007/978-3-031-22966-4_3

Practical Robust DKG Protocols for CSIDH

Autori: Shahla Atapoor, Karim Baghery, Daniele Cozzo, Robi Pedersen
Pubblicato in: ACNS 2023: Applied Cryptography and Network Security, Numero LNCS,volume 13906, 2023, Pagina/e 219–247, ISBN 978-3-031-33490-0
Editore: Springer, Cham
DOI: 10.1007/978-3-031-33491-7_9

The Permutation Group of Reed-Solomon Codes Over Arbitrary Points

Autori: Eduardo Camps-Moreno, Jun Bo Lau, Hiram H. López, Welington Santos
Pubblicato in: 2025 IEEE International Symposium on Information Theory (ISIT), 2026, Pagina/e 1-6
Editore: IEEE
DOI: 10.1109/isit63088.2025.11195458

An Efficient Key Recovery Attack on SIDH

Autori: Wouter Castryck, Thomas Decru
Pubblicato in: Advances in Cryptology – EUROCRYPT 2023, Numero Lecture Notes in Computer Science book series (LNCS,volume 14008), 2023, Pagina/e 423–447, ISBN 978-3-031-30589-4
Editore: Springer, Cham
DOI: 10.1007/978-3-031-30589-4_15

CSI-SharK: CSI-FiSh with Sharing-friendly Keys

Autori: Shahla Atapoor, Karim Baghery, Daniele Cozzo, Robi Pedersen
Pubblicato in: ACISP 2023: Information Security and Privacy, Numero LNCS,volume 13915, 2023, Pagina/e 471–502, ISBN 978-3-031-35485-4
Editore: Springer, Cham
DOI: 10.1007/978-3-031-35486-1_21

Book chapters (24)

Faster SCALLOP from Non-prime Conductor Suborders in Medium Sized Quadratic Fields

Autori: Bill Allombert, Jean-François Biasse, Jonathan Komada Eriksen, Péter Kutas, Chris Leonardi, Aurel Page, Renate Scheidler, Márton Tot Bagi
Pubblicato in: Lecture Notes in Computer Science, Public-Key Cryptography – PKC 2025, 2025, Pagina/e 333-363
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-91826-1_11

Radical $$\root N \of {\mathrm {\acute{e}lu}}$$ Isogeny Formulae

Autori: Thomas Decru
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2024, Numero 14924, 2024, Pagina/e 107-128, ISBN 978-3-031-68387-9
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-68388-6_5

Timed Commitments and Timed Encryption: Generic Constructions and Instantiations from Isogenies

Autori: Mingjie Chen, Jonas Meers
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2026, 2026, Pagina/e 447-477
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-35398-6_15

A Polynomial Time Attack on Instances of M-SIDH and FESTA

Autori: Wouter Castryck, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – ASIACRYPT 2023, Numero LNCS,volume 14444, 2023, Pagina/e 127-156, ISBN 978-981-99-8738-2
Editore: Springer Nature Singapore
DOI: 10.1007/978-981-99-8739-9_5

Generalized Class Group Actions on Oriented Elliptic Curves with Level Structure

Autori: Sarah Arpin, Wouter Castryck, Jonathan Komada Eriksen, Gioella Lorenzon, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Arithmetic of Finite Fields, 2025, Pagina/e 171-190
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-81824-0_12

Orient Express: Using Frobenius to Express Oriented Isogenies

Autori: Wouter Castryck, Riccardo Invernizzi, Gioella Lorenzon, Jonas Meers, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Progress in Cryptology – LATINCRYPT 2025, 2025, Pagina/e 145-173
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-06754-8_6

Lie Algebras and the Security of Cryptosystems Based on Classical Varieties in Disguise

Autori: Wouter Castryck, Mingjie Chen, Péter Kutas, Jun Bo Lau, Alexander Lemmens, Mickaël Montessinos
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – EUROCRYPT 2026, 2026, Pagina/e 389-419
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-25327-9_14

On the Active Security of the PEARL-SCALLOP Group Action

Autori: Tako Boris Fouotsa, Marc Houben, Gioella Lorenzon, Ryan Rueger, Parsa Tasbihgou
Pubblicato in: Lecture Notes in Computer Science, Post-Quantum Cryptography, 2026, Pagina/e 74-104
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-22698-3_3

PIKE: Faster Isogeny-Based Public Key Encryption with Pairing-Assisted Decryption

Autori: Shiping Cai, Mingjie Chen, Yi-Fu Lai, Kaizhan Lin
Pubblicato in: Lecture Notes in Computer Science, Public-Key Cryptography – PKC 2026, 2026, Pagina/e 58-91
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-26737-5_3

Fully Homomorphic Encryption for Cyclotomic Prime Moduli

Autori: Robin Geelen, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – EUROCRYPT 2025, 2025, Pagina/e 366-397
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-91131-6_13

VSS fromDistributed ZK Proofs andApplications

Autori: Shahla Atapoor, Karim Baghery, Daniele Cozzo, Robi Pedersen
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – ASIACRYPT 2023, 2024, Pagina/e 405-440
Editore: Springer Nature Singapore
DOI: 10.1007/978-981-99-8721-4_13

Towards a Quantum-Resistant Weak Verifiable Delay Function

Autori: Thomas Decru, Luciano Maino, Antonio Sanso
Pubblicato in: Lecture Notes in Computer Science, Progress in Cryptology – LATINCRYPT 2023, 2024, Pagina/e 149-168
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-44469-2_8

$$\textsf{qt}$$-$$\textsf{Pegasis}$$: Simpler and Faster Effective Class Group Actions

Autori: Pierrick Dartois, Jonathan Komada Eriksen, Riccardo Invernizzi, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – EUROCRYPT 2026, 2026, Pagina/e 636-665
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-25327-9_22

SQIsign2D-East: A New Signature Scheme Using 2-Dimensional Isogenies

Autori: Kohei Nakagawa, Hiroshi Onuki, Wouter Castryck, Mingjie Chen, Riccardo Invernizzi, Gioella Lorenzon, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – ASIACRYPT 2024, 2024, Pagina/e 272-303
Editore: Springer Nature Singapore
DOI: 10.1007/978-981-96-0891-1_9

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

Autori: Pierrick Dartois, Jonathan Komada Eriksen, Tako Boris Fouotsa, Arthur Herlédan Le Merdy, Riccardo Invernizzi, Damien Robert, Ryan Rueger, Frederik Vercauteren, Benjamin Wesolowski
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2025, 2026, Pagina/e 67-99
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-01855-7_3

Expander Properties of Superspecial Isogeny Digraphs with Level Structure

Autori: Thomas Decru, Krijn Reijnders
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2026, 2026, Pagina/e 478-505
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-35398-6_16

PRISM: Simple and Compact Identification and Signatures from Large Prime Degree Isogenies

Autori: Andrea Basso, Giacomo Borin, Wouter Castryck, Maria Corte-Real Santos, Riccardo Invernizzi, Antonin Leroux, Luciano Maino, Frederik Vercauteren, Benjamin Wesolowski
Pubblicato in: Lecture Notes in Computer Science, Public-Key Cryptography – PKC 2025, 2025, Pagina/e 300-332
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-91826-1_10

Error Floor Prediction with Markov Models for QC-MDPC Codes

Autori: Sarah Arpin, Jun Bo Lau, Antoine Mesnard, Ray Perlner, Angela Robinson, Jean-Pierre Tillich, Valentin Vasseur
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2025, 2026, Pagina/e 221-252
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-01855-7_8

New Proof Systems andanOPRF fromCSIDH

Autori: Cyprien Delpech de Saint Guilhem, Robi Pedersen
Pubblicato in: Lecture Notes in Computer Science, Public-Key Cryptography – PKC 2024, 2024, Pagina/e 217-251
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-57725-3_8

$$\text {KLPT}^2$$: Algebraic Pathfinding in Dimension Two and Applications

Autori: Wouter Castryck, Thomas Decru, Péter Kutas, Abel Laval, Christophe Petit, Yan Bo Ti
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – CRYPTO 2025, 2026, Pagina/e 167-200
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-01855-7_6

Leveled Isogeny Problems with Hints

Autori: Subham Das, Riccardo Invernizzi, Péter Kutas, Jonas Meers
Pubblicato in: Lecture Notes in Computer Science, Public-Key Cryptography – PKC 2026, 2026, Pagina/e 31-57
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-26737-5_2

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

Autori: Giacomo Borin, Maria Corte-Real Santos, Jonathan Komada Eriksen, Riccardo Invernizzi, Marzio Mula, Sina Schaeffler, Frederik Vercauteren
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – ASIACRYPT 2025, 2025, Pagina/e 174-205
Editore: Springer Nature Singapore
DOI: 10.1007/978-981-95-5113-2_6

Computing the Endomorphism Ring of a Supersingular Elliptic Curve from a Full Rank Suborder

Autori: Mingjie Chen, Christophe Petit
Pubblicato in: Lecture Notes in Computer Science, Advances in Cryptology – EUROCRYPT 2025, 2025, Pagina/e 446-474
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-031-91095-1_16

The Tate Profile

Autori: Krijn Reijnders
Pubblicato in: Lecture Notes in Computer Science, Progress in Cryptology – LATINCRYPT 2025, 2025, Pagina/e 209-233
Editore: Springer Nature Switzerland
DOI: 10.1007/978-3-032-06754-8_8

Peer reviewed articles (6)

Optimal s-boxes against alternative operations and linear propagation

Autori: Marco Calderini, Roberto Civino, Riccardo Invernizzi
Pubblicato in: Discrete Mathematics, Numero 349, 2026, Pagina/e 114870, ISSN 0012-365X
Editore: Elsevier BV
DOI: 10.1016/j.disc.2025.114870

Breaking the Decisional Diffie–Hellman Problem for Class Group Actions Using Genus Theory: Extended Version

Autori: Wouter Castryck, Jana Sotáková, Frederik Vercauteren
Pubblicato in: Journal of Cryptology, Numero 35, Article number: 24 (2022), 2022, Pagina/e 1-30, ISSN 0933-2790
Editore: Springer Verlag
DOI: 10.1007/s00145-022-09435-1

On the decisional Diffie–Hellman problem for class group actions on oriented elliptic curves

Autori: Wouter Castryck, Marc Houben, Frederik Vercauteren, Benjamin Wesolowski
Pubblicato in: Research in Number Theory, Numero 8, Article number: 99 (2022), 2022, Pagina/e 1-17, ISSN 2363-9555
Editore: Springer
DOI: 10.1007/s40993-022-00399-6

Better GBFV Bootstrapping and Faster Encrypted Edit Distance Computation

Autori: Robin Geelen, Frederik Vercauteren
Pubblicato in: IACR Communications in Cryptology, Numero 2, 2026, ISSN 3006-5496
Editore: International Association for Cryptologic Research
DOI: 10.62056/a3n56chdj

Simpler and Faster Pairings from the Montgomery Ladder

Autori: Giacomo Pope, Krijn Reijnders, Damien Robert, Alessandro Sferlazza, Benjamin Smith
Pubblicato in: IACR Communications in Cryptology, Numero 2, 2025, ISSN 3006-5496
Editore: International Association for Cryptologic Research
DOI: 10.62056/ah2i893y6

Scrollar invariants, syzygies and representations of the symmetric group

Autori: Wouter Castryck, Floris Vermeulen, Yongqiang Zhao
Pubblicato in: Journal für die reine und angewandte Mathematik (Crelles Journal), Numero 2023, 2023, Pagina/e 117-159, ISSN 0075-4102
Editore: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2022-0088

Thesis and dissertations (1)

Distributed Protocols from Isogenies; Gedistribueerde Protocollen van Isogenieën

Autori: Pedersen, Robi; Vercauteren, Fréderik (Supervisor); Orsini, Emmanuela (Co_supervisor)
Pubblicato in: 2024
Editore: KU Leuven