Search - Archive ouverte HAL Access content directly

Filter your results

27 Results
Image document

Le programme HACIENDA

Julian Kirsch , Christian Grothoff , Monika Ermert , Jacob Appelbaum , Laura Poitras , et al.
Other publications hal-01112274v1
Image document

The arithmetic of Jacobian groups of superelliptic cubics

Abdolali Basiri , Andreas Enge , Jean-Charles Faugère , Nicolas Gürel
Mathematics of Computation, 2005, 74 (249), pp.389-410
Journal articles inria-00071967v2
Image document

Generalised Weber Functions

Andreas Enge , François Morain
Acta Arithmetica, 2014, 164 (4), pp.309-341. ⟨10.4064/aa164-4-1⟩
Journal articles inria-00385608v2
Image document

The complexity of class polynomial computation via floating point approximations

Andreas Enge
Mathematics of Computation, 2009, 78 (266), pp.1089-1107
Journal articles inria-00001040v3
Image document

Hyperelliptic Cryptosystems – Efficiency and Subexponential Attacks

Andreas Enge
Mathematics [math]. Universität Augsburg, 2000. English. ⟨NNT : ⟩
Theses tel-00505980v1

Modular Curves of Composite Level

Andreas Enge , Reinhard Schertz
Acta Arithmetica, 2005, 118 (2), pp.129-141
Journal articles inria-00386309v1
Image document

Discrete logarithms in curves over finite fields

Andreas Enge
Eighth International Conference on Finite Fields and Applications - Fq8, Jul 2007, Melbourne, Australia. pp.119-139
Conference papers inria-00201090v1
Image document

Computing Hilbert Class Polynomials

Juliana Belding , Reinier Bröker , Andreas Enge , Kristin Lauter
ANTS-VIII - Eighth Algorithmic Number Theory Symposium, May 2008, Banff, Canada. pp.282-295
Conference papers inria-00246115v1
Image document

Elliptic curve cryptographic systems

Andreas Enge
Gary L. Mullen and Daniel Panario. Handbook of Finite Fields, Chapman and Hall/CRC, pp.784-796, 2013, Discrete Mathematics and Its Applications, 9781439873786
Book sections hal-00764963v1
Image document

Bilinear pairings on elliptic curves

Andreas Enge
L'Enseignement Mathématique , 2015, 61 (2), pp.211-243
Journal articles hal-00767404v2
Image document

[Re] Volume computation for polytopes: Vingt ans après

Andreas Enge
The ReScience journal, 2020, 6 (1), pp.#17. ⟨10.5281/zenodo.4242972⟩
Journal articles hal-03053781v1
Image document

An $L (1/3)$ Discrete Logarithm Algorithm for Low Degree Curves

Andreas Enge , Pierrick Gaudry , Emmanuel Thomé
Journal of Cryptology, 2011, 24, pp.24-41. ⟨10.1007/s00145-010-9057-y⟩
Journal articles inria-00383941v2
Image document

Short addition sequences for theta functions

Andreas Enge , William Hart , Fredrik Johansson
Journal of Integer Sequences, 2018, 18 (2), pp.1-34
Journal articles hal-01355926v2
Image document

Schertz style class invariants for quartic CM fields

Andreas Enge , Marco Streng
Preprints, Working Papers, ... hal-01377376v2

Implementing the Arithmetic of C3,4 Curves

Abdolali Basiri , Andreas Enge , Jean-Charles Faugère , Nicolas Gurel
ANTS-VI - 6th International Symposium on Algorithmic Number Theory, Jun 2004, Burlington, VT, United States. pp.87-101, ⟨10.1007/978-3-540-24847-7_6⟩
Conference papers istex hal-01497045v1
Image document

Singular values of multiple eta-quotients for ramified primes

Andreas Enge , Reinhard Schertz
LMS Journal of Computation and Mathematics, 2013, 16, pp.407-418. ⟨10.1112/S146115701300020X⟩
Journal articles hal-00768375v2

Building curves with arbitrary small MOV degree over finite prime fields

Régis Dupont , Andreas Enge , François Morain
Journal of Cryptology, 2005, 18 (2), pp.79-89
Journal articles inria-00386299v1
Image document

A general framework for subexponential discrete logarithm algorithms

Andreas Enge , Pierrick Gaudry
Acta Arithmetica, 2002, 102, pp.83-103. ⟨10.4064/aa102-1-6⟩
Journal articles inria-00512717v1
Image document

Courbes Algébriques et Cryptologie

Andreas Enge
Mathématiques [math]. Université Paris-Diderot - Paris VII, 2007
Habilitation à diriger des recherches tel-00382535v1

Exact Volume Computation for Polytopes: A Practical Study

Benno Büeler , Andreas Enge , Komei Fukuda
Polytopes — Combinatorics and Computation, Birkhäuser Basel, pp.131-154, 2000, ⟨10.1007/978-3-0348-8438-9_6⟩
Book sections hal-03029034v1
Image document

An $L (1/3 + \varepsilon)$ Algorithm for the Discrete Logarithm Problem for Low Degree Curves

Andreas Enge , Pierrick Gaudry
Eurocrypt 2007, May 2007, Barcelona, Spain. pp.379-393
Conference papers inria-00135324v1
Image document

Komplexe Multiplikation: von numerisch bis symbolisch

Andreas Enge
Computer-Algebra-Rundbrief, 2009, 45, pp.13-17
Journal articles inria-00429093v1
Image document

Class invariants by the CRT method

Andreas Enge , Andrew V. Sutherland
Ninth Algorithmic Number Theory Symposium ANTS-IX, Jul 2010, Nancy, France. pp.142-156, ⟨10.1007/978-3-642-14518-6_14⟩
Conference papers inria-00448729v2
Image document

Computing modular polynomials in quasi-linear time

Andreas Enge
Mathematics of Computation, 2009, 78 (267), pp.1809-1824
Journal articles inria-00143084v2
Image document

Implementing cryptographic pairings at standard security levels

Andreas Enge , Jérôme Milan
Security, Privacy, and Applied Cryptography Engineering, Oct 2014, Pune, India. pp.28-46, ⟨10.1007/978-3-319-12060-7_3⟩
Conference papers hal-01034213v1

Provably Secure Non-Interactive Key Distribution Based on Pairings

Régis Dupont , Andreas Enge
Discrete Applied Mathematics, 2006, 154 (2), pp.270-276
Journal articles inria-00386311v1
Image document

Computing class polynomials for abelian surfaces

Andreas Enge , Emmanuel Thomé
Experimental Mathematics, 2014, 23 (2), pp.129-145. ⟨10.1080/10586458.2013.878675⟩
Journal articles hal-00823745v2