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1

Hyperelliptic curves and their invariants: Geometric, arithmetic and algorithmic aspects

Reynald Lercier, Christophe Ritzenthaler

Journal:

Journal of Algebra

Year:

2012

Language:

english

File:

PDF, 510 KB

english, 2012

2

A quasi quadratic time algorithm for hyperelliptic curve point counting

Reynald Lercier, David Lubicz

Journal:

The Ramanujan Journal

Year:

2006

Language:

english

File:

PDF, 566 KB

english, 2006

3

Computing isogenies between elliptic curves over $F_{p^n}$ using Couveignes's algorithm

Lercier, R., Morain, F.

Journal:

Mathematics of Computation

Year:

1999

Language:

english

File:

PDF, 381 KB

english, 1999

4

Fast construction of irreducible polynomials over finite fields

Jean-Marc Couveignes, Reynald Lercier

Journal:

Israel Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 367 KB

english, 2013

5

Elliptic periods and primality proving

Tony Ezome, Reynald Lercier

Journal:

Journal of Number Theory

Year:

2013

Language:

english

File:

PDF, 366 KB

english, 2013

6

Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method

Joux, Antoine, Lercier, Reynald

Journal:

Mathematics of Computation

Year:

2002

Language:

english

File:

PDF, 404 KB

english, 2002

7

Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields

Lercier, Reynald, Ritzenthaler, Christophe, Rovetta, Florent, Sijsling, Jeroen

Journal:

LMS Journal of Computation and Mathematics

Year:

2014

File:

PDF, 660 KB

2014

8

"Chinese and Match", An Alternative to Atkin's "Match and Sort" Method Used in the Sea Algorithm

Antoine Joux and Reynald Lercier

Journal:

Mathematics of Computation

Year:

2001

Language:

english

File:

PDF, 903 KB

english, 2001

9

[IEEE 2008 5th Workshop on Fault Diagnosis and Tolerance in Cryptography (FDTC) - Washington, DC, USA (2008.08.10-2008.08.10)] 2008 5th Workshop on Fault Diagnosis and Tolerance in Cryptography - Fault Attack on Elliptic Curve Montgomery Ladder Implementation

Fouque, Pierre-Alain, Lercier, Reynald, Réal, Denis, Valette, Frédéric

Year:

2008

Language:

english

File:

PDF, 231 KB

english, 2008

10

Elliptic periods for finite fields

Jean-Marc Couveignes, Reynald Lercier

Journal:

Finite Fields and Their Applications

Year:

2009

Language:

english

File:

PDF, 551 KB

english, 2009

11

``Chinese & Match'', an alternative to Atkin's ``Match and Sort'' method used in the SEA algorithm

Joux, Antoine, Lercier, Reynald

Journal:

Mathematics of Computation

Year:

2000

Language:

english

File:

PDF, 180 KB

english, 2000

12

Improvements to the General Number Field Sieve for Discrete Logarithms in Prime Fields. A Comparison with the Gaussian Integer Method

Antoine Joux and Reynald Lercier

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 426 KB

english, 2003

13

Computing Isogenies between Elliptic Curves over FpnUsing Couveignes's Algorithm

R. Lercier and F. Morain

Journal:

Mathematics of Computation

Year:

2000

Language:

english

File:

PDF, 1.92 MB

english, 2000

14

Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group

Lercier, Reynald, Ritzenthaler, Christophe, Sijsling, Jeroen

Journal:

Mathematics of Computation

Year:

2015

Language:

english

File:

PDF, 470 KB

english, 2015

15

A faster pseudo-primality test

Jean-Marc Couveignes, Tony Ezome, Reynald Lercier

Journal:

Rendiconti del Circolo Matematico di Palermo (1952 -)

Year:

1937

Language:

english

File:

PDF, 729 KB

english, 1937

16

Global coseismic deformations, GNSS time series analysis, and earthquake scaling laws

Métivier, Laurent, Collilieux, Xavier, Lercier, Daphné, Altamimi, Zuheir, Beauducel, François

Journal:

Journal of Geophysical Research Solid Earth

Year:

2014

Language:

english

File:

PDF, 1.33 MB

english, 2014

17

[ACM Press the 38th international symposium - Boston, Maine, USA (2013.06.26-2013.06.29)] Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation - ISSAC '13 - An explicit expression of the Lüroth invariant

Basson, Romain, Lercier, Reynald, Ritzenthaler, Christophe, Sijsling, Jeroen

Year:

2013

Language:

english

File:

PDF, 552 KB

english, 2013

18

Distributions of Traces of Frobenius for Smooth Plane Curves Over Finite Fields

Lercier, Reynald, Ritzenthaler, Christophe, Rovetta, Florent, Sijsling, Jeroen, Smith, Benjamin

Journal:

Experimental Mathematics

Year:

2017

Language:

english

File:

PDF, 888 KB

english, 2017

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