Andreas Enge

According to our database, Andreas Enge authored at least 28 papers between 1999 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

FastECPP over MPI.

Andreas Enge

Proceedings of the Mathematical Software - ICMS 2024, 2024

2018

Short Addition Sequences for Theta Functions.

Andreas Enge, William Hart, Fredrik Johansson

J. Integer Seq., 2018

2014

Computing Class Polynomials for Abelian Surfaces.

Andreas Enge, Emmanuel Thomé

Exp. Math., 2014

Implementing Cryptographic Pairings at Standard Security Levels.

Andreas Enge, Jérôme Milan

Proceedings of the Security, Privacy, and Applied Cryptography Engineering, 2014

2013

Singular values of multiple eta-quotients for ramified primes.

Andreas Enge, Reinhard Schertz

LMS J. Comput. Math., 2013

Elliptic curve cryptographic systems.

Andreas Enge

Proceedings of the Handbook of Finite Fields., 2013

2011

An <i>L</i>(1/3) Discrete Logarithm Algorithm for Low Degree Curves.

Andreas Enge, Pierrick Gaudry, Emmanuel Thomé

J. Cryptol., 2011

2010

Class Invariants by the CRT Method.

Andreas Enge, Andrew V. Sutherland

IACR Cryptol. ePrint Arch., 2010

2009

Volume Computation for Polytopes: Strategies and Performances.

Andreas Enge

Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Computing modular polynomials in quasi-linear time.

Andreas Enge

Math. Comput., 2009

The complexity of class polynomial computation via floating point approximations.

Andreas Enge

Math. Comput., 2009

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

Andreas Enge, Pierrick Gaudry, Emmanuel Thomé

CoRR, 2009

2008

Computing Hilbert Class Polynomials.

Juliana Belding, Reinier Bröker, Andreas Enge, Kristin E. Lauter

IACR Cryptol. ePrint Arch., 2008

2007

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

Andreas Enge, Pierrick Gaudry

CoRR, 2007

Discrete logarithms in curves over finite fields

Andreas Enge

CoRR, 2007

An <i>L</i> (1/3 + <i>epsilon</i> ) Algorithm for the Discrete Logarithm Problem for Low Degree Curves.

Andreas Enge, Pierrick Gaudry

Proceedings of the Advances in Cryptology, 2007

2006

Provably secure non-interactive key distribution based on pairings.

Régis Dupont, Andreas Enge

Discret. Appl. Math., 2006

2005

The arithmetic of Jacobian groups of superelliptic cubics.

Abdolali Basiri, Andreas Enge, Jean-Charles Faugère, Nicolas Gürel

Math. Comput., 2005

Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields.

Régis Dupont, Andreas Enge, François Morain

J. Cryptol., 2005

2004

Implementing the Arithmetic of C_{3, 4}Curves.

Abdolali Basiri, Andreas Enge, Jean-Charles Faugère, Nicolas Gürel

Proceedings of the Algorithmic Number Theory, 6th International Symposium, 2004

2003

Fast Decomposition of Polynomials with Known Galois Group.

Andreas Enge, François Morain

Proceedings of the Applied Algebra, 2003

2002

Smooth ideals in hyperelliptic function fields.

Andreas Enge, Andreas Stein

Math. Comput., 2002

Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time.

Andreas Enge

Math. Comput., 2002

Practical Non-Interactive Key Distribution Based on Pairings.

Régis Dupont, Andreas Enge

IACR Cryptol. ePrint Arch., 2002

Comparing Invariants for Class Fields of Imaginary Quadratic Fields.

Andreas Enge, François Morain

Proceedings of the Algorithmic Number Theory, 5th International Symposium, 2002

2001

The Extended Euclidian Algorithm on Polynomials, and the Computational Efficiency of Hyperelliptic Cryptosystems.

Andreas Enge

Des. Codes Cryptogr., 2001

2000

Hyperelliptic cryptosystems: efficiency and subexponential attacks.

Andreas Enge

PhD thesis, 2000

1999

Elliptic Curves and Their Applications to Cryptography - an introduction.

Andreas Enge

Kluwer, ISBN: 978-0-7923-8589-9, 1999