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Arithmetic, Geometry, Cryptography and Coding Theory

Alp Bassa , Alain Couvreur , David Kohel
American Mathematical Society. 686, 2017, Contemporary Mathematics, ⟨10.1090/conm/686⟩
Ouvrages hal-01951630v1
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Counting Points on Genus 2 Curves with Real Multiplication

Pierrick Gaudry , David Kohel , Benjamin Smith
ASIACRYPT 2011, International Association for Cryptologic Research, Dec 2011, Seoul, South Korea. pp.504-519, ⟨10.1007/978-3-642-25385-0_27⟩
Communication dans un congrès inria-00598029v1

Efficiently Computable Endomorphisms for Hyperelliptic Curves

David Kohel , Benjamin Smith
Algorithmic Number Theory Symposium: ANTS-VII, Jul 2006, Berlin, Germany. pp.495-509, ⟨10.1007/11792086_35⟩
Communication dans un congrès inria-00537882v1
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The geometry of efficient arithmetic on elliptic curves

David Kohel
Algorithmic Arithmetic, Geometry, and Coding Theory, AMS Contemporary Mathematics, 637, pp.95-110, 2015
Chapitre d'ouvrage hal-01257129v1
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Arithmetic statistics of Galois groups

David Kohel
The Open Book Series, 2019, 2 (1), pp.353-374. ⟨10.2140/obs.2019.2-1⟩
Article dans une revue hal-03089529v1
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The 2-adic CM method for genus 2 curves with application to cryptography

Pierrick Gaudry , Thomas Houtmann , David Kohel , Christophe Ritzenthaler , Annegret Weng
Asiacrypt 2006, Dec 2006, Shangai, China. pp.114-129
Communication dans un congrès inria-00103435v1

Arithmetic, Geometry, Cryptography and Coding Theory 2009

David Kohel , Robert Rolland
521, 2010, Contemporary Mathematics, AMS
Ouvrages hal-01079517v1
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On Sato-Tate distributions, extremal traces, and real multiplication in genus 2

David Kohel , Yih-Dar Shieh
Arithmetic, Geometry, Cryptography and Coding Theory, AMS Contemporary Mathematics, 2021, 2021
Chapitre d'ouvrage hal-03089551v1

Higher-dimensional 3-adic CM construction

Robert Carls , David Kohel , David Lubicz
Journal of Algebra, 2008, 319 (3), pp.971-1006. ⟨10.1016/j.jalgebra.2007.11.016⟩
Article dans une revue istex hal-00383119v1
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Théorie des nombres et cryptographie

David Kohel , Igor E. Shparlinski
Arithmétique et dynamique. Chaires Jean Morlet 2014, SMF Journée Annuelle, 27, , pp.1-23, 2014
Chapitre d'ouvrage hal-01257075v1
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Twisted mu_4-normal form for elliptic curves

David Kohel
36th Annual International Conference on the Theory and Applications of Cryptographic Techniques (EUROCRYPT), Int Assoc Cryptol Res, Apr 2017, Paris, France. pp.659 - 678, ⟨10.1007/978-3-319-56620-7_23⟩
Communication dans un congrès hal-01760442v1
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Orienting supersingular isogeny graphs

Leonardo Colò , David Kohel
Journal of Mathematical Cryptology, 2020, 14 (1), pp.414-437. ⟨10.1515/jmc-2019-0034⟩
Article dans une revue hal-03089563v1

Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures

David Kohel , Igor Shparlinski
David Kohel; Igor Shparlinski. Winter School and Workshop on Frobenius Distributions on Curves, Feb 2014, Marseille, France. 663, American Mathematical Society, 238 pp, 2016, Contemporary Mathematics, 978-1-4704-1947-9. ⟨10.1090/conm/663⟩
Proceedings/Recueil des communications hal-01527516v1

A special configuration of $12$ conics and generalized Kummer surfaces

David Kohel , Xavier Roulleau , Alessandra Sarti
Manuscripta mathematica, In press
Article dans une revue hal-03046892v1
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SQISign: compact post-quantum signatures from quaternions and isogenies

Luca de Feo , David Kohel , Antonin Leroux , Christophe Petit , Benjamin Wesolowski
ASIACRYPT 2020 - 26th Annual International Conference on the Theory and Application of Cryptology and Information Security, Dec 2020, Daejeon (virtual), South Korea
Communication dans un congrès hal-03038004v1
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Arithmetic of split Kummer surfaces: Montgomery endomorphism of Edwards products

David Kohel
Coding and Cryptology: Third International Workshop, IWCC 2011, Qingdao, China, May 30-June 3, 2011. Proceedings, 6639, pp.238-245, 2011, Lecture Notes in Computer Science, ⟨10.1007/978-3-642-20901-7_15⟩
Chapitre d'ouvrage hal-01257337v1
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Addition law structure of elliptic curves

David Kohel
Journal of Number Theory, 2011, 131 (5), pp.894-919. ⟨10.1016/j.jnt.2010.12.001⟩
Article dans une revue hal-01257328v1

Twisted Hessian Curves

Daniel J Bernstein , Chitchanok Chuengsatiansup , David Kohel , Tanja Lange
Progress in Cryptology -- LATINCRYPT 2015, Aug 2015, Guadalajara, Mexico. pp.269-294, ⟨10.1007/978-3-319-22174-8_15⟩
Communication dans un congrès hal-01257167v1

The Weierstrass subgroup of a curve has maximal rank

Christophe Ritzenthaler , David Kohel , Martine Girard
Bulletin of the London Mathematical Society, 2006, 38 (6), pp.925-931
Article dans une revue hal-01099884v1

Complete addition laws on abelian varieties

Christophe Ritzenthaler , David Kohel , Christophe Arene
LMS Journal of Computation and Mathematics, 2012, 15, pp.308-316. ⟨10.1112/S1461157012001027⟩
Article dans une revue hal-01099955v1
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Efficient arithmetic on elliptic curves in characteristic 2

David Kohel
Progress in Cryptology - INDOCRYPT 2012, Dec 2012, Kolkata, India. pp.378-398, ⟨10.1007/978-3-642-34931-7_22⟩
Communication dans un congrès hal-01257333v1

On the quaternion $\ell$-isogeny path problem

David Kohel , Kristin Lauter , Christophe Petit , Jean-Pierre Tignol
LMS Journal of Computation and Mathematics, 2014, 17 (A), pp.418-432. ⟨10.1112/S1461157014000151⟩
Article dans une revue hal-01257092v1