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Choosing parameters

Sylvain Duquesne , Nadia El Mrabet , Safia Haloui , Damien Robert , Franck Rondepierre
Nadia El Mrabet; Marc Joye. Guide to pairing based cryptography, CRC Press, 2016, Chapman & Hall/CRC Cryptography and Network Security, 9781498729505
Chapitre d'ouvrage hal-01579710v1
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Cyclic Isogenies for Abelian Varieties with Real Multiplication

Alina Dudeanu , Dimitar Jetchev , Damien Robert , Marius Vuille
Moscow Mathematical Journal, 2022, 22 (4), pp.613-655
Article dans une revue hal-01629829v1
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An Algorithmic Approach to (2, 2)-isogenies in the Theta Model and Applications to Isogeny-based Cryptography

Pierrick Dartois , Luciano Maino , Giacomo Pope , Damien Robert
2023
Pré-publication, Document de travail hal-04297088v1
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Computing $2$-isogenies between Kummer lines

Damien Robert , Nicolas Sarkis
IACR Communications in Cryptology, 2024, ⟨10.62056/abvua69p1⟩
Article dans une revue hal-04382643v2
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Breaking SIDH in polynomial time

Damien Robert
Advances in Cryptology – EUROCRYPT 2023, 2023, Lyon, France. pp.472-503, ⟨10.1007/978-3-031-30589-4_17⟩
Communication dans un congrès hal-03943959v2
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Computing modular correspondences for abelian varieties

Jean-Charles Faugère , David Lubicz , Damien Robert
Journal of Algebra, 2011, 343 (1), pp.248-277. ⟨10.1016/j.jalgebra.2011.06.031⟩
Article dans une revue hal-00426338v2
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Improved CRT Algorithm for Class Polynomials in Genus $2$

Kristin Lauter , Damien Robert
ANTS X - Algorithmic Number Theory 2012, Jul 2012, San Diego, United States. pp.437-461, ⟨10.2140/obs.2013.1.437⟩
Communication dans un congrès hal-00734450v2
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Efficient pairing computation with theta functions

David Lubicz , Damien Robert
ANTS IX - Algorithmic Number Theory 2010, Jul 2010, Nancy, France. pp.251-269, ⟨10.1007/978-3-642-14518-6_21⟩
Communication dans un congrès hal-00528944v1
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Fonctions thêta et applications à la cryptographie

Damien Robert
Informatique [cs]. Université Henri Poincaré - Nancy I, 2010. Français. ⟨NNT : ⟩
Thèse tel-00528942v1
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Arithmetic on Abelian and Kummer Varieties

David Lubicz , Damien Robert
Finite Fields and Their Applications, 2016, 39, pp.130-158. ⟨10.1016/j.ffa.2016.01.009⟩
Article dans une revue hal-01057467v2

Pairings

Sorina Ionica , Damien Robert
Nadia El Mrabet; Marc Joye. Guide to pairing based cryptography, CRC Press, 2016, Chapman & Hall/CRC Cryptography and Network Security
Chapitre d'ouvrage hal-01323882v1
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Computing the Canonical Lift of Genus 2 Curves in Odd Characteristics

Damien Robert , Abdoulaye Maiga
2022
Pré-publication, Document de travail hal-03738314v1
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Evaluating isogenies in polylogarithmic time

Damien Robert
2023
Pré-publication, Document de travail hal-03943970v2
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A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties

David Lubicz , Damien Robert
Journal of Symbolic Computation, 2015, 67, pp.68-92. ⟨10.1016/j.jsc.2014.08.001⟩
Article dans une revue hal-00806923v1
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Computing isogenies between Abelian Varieties

David Lubicz , Damien Robert
Compositio Mathematica, 2012, 148 (05), pp.1483--1515. ⟨10.1112/S0010437X12000243⟩
Article dans une revue hal-00446062v3
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SQISignHD: New Dimensions in Cryptography

Pierrick Dartois , Antonin Leroux , Damien Robert , Benjamin Wesolowski
2023
Pré-publication, Document de travail hal-04056062v1
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Computing (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves

Romain Cosset , Damien Robert
Mathematics of Computation, 2015, 84 (294), pp.1953-1975 ⟨10.1090/S0025-5718-2014-02899-8⟩
Article dans une revue hal-00578991v1
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Computing isogenies from modular equations in genus two

Jean Kieffer , Aurel Page , Damien Robert
2020
Pré-publication, Document de travail hal-02436133v2
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Computing separable isogenies in quasi-optimal time

David Lubicz , Damien Robert
LMS Journal of Computation and Mathematics, 2015, 18 (1), pp.198-216. ⟨10.1112/S146115701400045X⟩
Article dans une revue hal-00954895v1
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Some applications of higher dimensional isogenies to elliptic curves (overview of results)

Damien Robert
2023
Pré-publication, Document de travail hal-03943973v3
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Towards computing canonical lifts of ordinary elliptic curves in medium characteristic

Abdoulaye Maiga , Damien Robert
2022
Pré-publication, Document de travail hal-03702658v1
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Spanning the isogeny class of a power of an elliptic curve.

Markus Kirschmer , Fabien Narbonne , Christophe Ritzenthaler , Damien Robert
Mathematics of Computation, 2021, 91 (333), pp.401-449. ⟨10.1090/mcom/3672⟩
Article dans une revue hal-02554714v2
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Computing the 2-adic Canonical Lift of Genus 2 Curves

Abdoulaye Maiga , Damien Robert
ICMC 2021 - 7th International Conference on Mathematics and Computing, Indian Institute of Engineering Science and Technology, Mar 2021, Shibpur / Virtual, India
Communication dans un congrès hal-03119147v1
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Linear representation of endomorphisms of Kummer varieties

David Lubicz , Damien Robert
2021
Pré-publication, Document de travail hal-03204365v1
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Modular polynomials on Hilbert surfaces

Enea Milio , Damien Robert
Journal of Number Theory, 2020, 216, pp.403-459. ⟨10.1016/j.jnt.2020.04.014⟩
Article dans une revue hal-01520262v3
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Introducing Clapoti(s): Evaluating the isogeny class group action in polynomial time

Aurel Page , Damien Robert
2023
Pré-publication, Document de travail hal-04327451v1
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Fast change of level and applications to isogenies

David Lubicz , Damien Robert
ANTS 2022 - Fifteenth Algorithmic Number Theory Symposium, Aug 2022, Bristol, United Kingdom. pp.article n°7, ⟨10.1007/s40993-022-00407-9⟩
Communication dans un congrès hal-03738315v1
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Efficient algorithms for abelian varieties and their moduli spaces

Damien Robert
Algebraic Geometry [math.AG]. Université de Bordeaux (UB), 2021
HDR tel-03498268v1
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The geometric interpretation of the Tate pairing and its applications

Damien Robert
2023
Pré-publication, Document de travail hal-04295743v1
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AVIsogenies

Gaetan Bisson , Romain Cosset , Damien Robert
Logiciel hal-03371897v1