Nicolas Thériault

According to our database, Nicolas Thériault authored at least 28 papers between 2003 and 2023.

Collaborative distances:

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

2023

Index calculus algorithm for non-planar curves.

Roger Oyono, Nicolas Thériault

Finite Fields Their Appl., 2023

2020

Same value analysis on Edwards curves.

Rodrigo Abarzúa, Santi Martínez, Valeria Mendoza, Nicolas Thériault

J. Cryptogr. Eng., 2020

2018

Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic.

Edgardo Riquelme, Nicolas Thériault

SIAM J. Discret. Math., 2018

2017

Optimal 2-3 Chains for Scalar Multiplication.

Cristobal Leiva, Nicolas Thériault

Proceedings of the Progress in Cryptology - LATINCRYPT 2017, 2017

2016

Trisection for non-supersingular genus 2 curves in characteristic 2.

Jordi Pujolàs, Edgardo Riquelme, Nicolas Thériault

Int. J. Comput. Math., 2016

2015

Bisection and squares in genus 2.

Josep M. Miret, Jordi Pujolàs, Nicolas Thériault

Finite Fields Their Appl., 2015

Computing Optimal 2-3 Chains for Pairings.

Alex Capuñay Gonzales, Nicolas Thériault

Proceedings of the Progress in Cryptology - LATINCRYPT 2015, 2015

2014

Trisection for supersingular genus 2 curves in characteristic 2.

Josep M. Miret, Jordi Pujolàs, Nicolas Thériault

Adv. Math. Commun., 2014

2013

Group arithmetic in <i>C</i>_{3, 5}C3, 5 curves.

Roger Oyono, Nicolas Thériault

J. Symb. Comput., 2013

Hyperelliptic curve cryptographic systems.

Nicolas Thériault

Proceedings of the Handbook of Finite Fields., 2013

2012

Complete Atomic Blocks for Elliptic Curves in Jacobian Coordinates over Prime Fields.

Rodrigo Abarzúa, Nicolas Thériault

Proceedings of the Progress in Cryptology - LATINCRYPT 2012, 2012

2011

Hyperelliptic Curves Performance.

Roberto Avanzi, Nicolas Thériault

Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Hyperelliptic Curves.

Roberto Avanzi, Nicolas Thériault

Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

Hyperelliptic Curve Security.

Roberto Avanzi, Nicolas Thériault

Proceedings of the Encyclopedia of Cryptography and Security, 2nd Ed., 2011

2010

Efficient halving for genus 3 curves over binary fields.

Peter Birkner, Nicolas Thériault

Adv. Math. Commun., 2010

A filtering method for the hyperelliptic curve index calculus and its analysis.

Roberto Avanzi, Nicolas Thériault

Adv. Math. Commun., 2010

Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates.

Rodrigo Abarzúa, Nicolas Thériault, Roberto Avanzi, Ismael Soto, Miguel D. Alfaro

Adv. Math. Commun., 2010

2008

Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ.

Roberto Avanzi, Nicolas Thériault, Zheng Wang

J. Math. Cryptol., 2008

Faster Halvings in Genus 2.

Peter Birkner, Nicolas Thériault

Proceedings of the Selected Areas in Cryptography, 15th International Workshop, SAC 2008, 2008

2007

A double large prime variation for small genus hyperelliptic index calculus.

Pierrick Gaudry, Emmanuel Thomé, Nicolas Thériault, Claus Diem

Math. Comput., 2007

Effects of Optimizations for Software Implementations of Small Binary Field Arithmetic.

Roberto Maria Avanzi, Nicolas Thériault

Proceedings of the Arithmetic of Finite Fields, First International Workshop, 2007

Solving Discrete Logarithms from Partial Knowledge of the Key.

K. Gopalakrishnan, Nicolas Thériault, Chui Zhi Yao

Proceedings of the Progress in Cryptology, 2007

Ate Pairing on Hyperelliptic Curves.

Robert Granger, Florian Hess, Roger Oyono, Nicolas Thériault, Frederik Vercauteren

Proceedings of the Advances in Cryptology, 2007

2005

Index Calculus for Hyperelliptic Curves.

Roberto Maria Avanzi, Nicolas Thériault

Proceedings of the Handbook of Elliptic and Hyperelliptic Curve Cryptography., 2005

Index Calculus.

Roberto Maria Avanzi, Nicolas Thériault

Proceedings of the Handbook of Elliptic and Hyperelliptic Curve Cryptography., 2005

SPA Resistant Left-to-Right Integer Recodings.

Nicolas Thériault

IACR Cryptol. ePrint Arch., 2005

Unified Point Addition Formulæ and Side-Channel Attacks.

Douglas Stebila, Nicolas Thériault

IACR Cryptol. ePrint Arch., 2005

2003

Index Calculus Attack for Hyperelliptic Curves of Small Genus.

Nicolas Thériault

Proceedings of the Advances in Cryptology - ASIACRYPT 2003, 9th International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, November 30, 2003