Simon Abelard

According to our database, Simon Abelard authored at least 9 papers between 2018 and 2024.

Collaborative distances:

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

2024

Efficient computation of Riemann-Roch spaces for plane curves with ordinary singularities.

Simon Abelard, Alain Couvreur, Grégoire Lecerf

Appl. Algebra Eng. Commun. Comput., November, 2024

Broadcast Encryption using Sum-Product decomposition of Boolean functions.

Aurélien Dupin, Simon Abelard

IACR Commun. Cryptol., 2024

2022

Computing Riemann-Roch spaces via Puiseux expansions.

Simon Abelard, Elena Berardini, Alain Couvreur, Grégoire Lecerf

J. Complex., 2022

2020

Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus.

Simon Abelard

J. Complex., 2020

Sub-quadratic time for riemann-roch spaces: case of smooth divisors over nodal plane projective curves.

Simon Abelard, Alain Couvreur, Grégoire Lecerf

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

On the Complexity of Computing Integral Bases of Function Fields.

Simon Abelard

Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019

Improved Complexity Bounds for Counting Points on Hyperelliptic Curves.

Simon Abelard, Pierrick Gaudry, Pierre-Jean Spaenlehauer

Found. Comput. Math., 2019

2018

Counting points on hyperelliptic curves in large characteristic : algorithms and complexity. (Comptage de points de courbes hyperelliptiques en grande caractéristique : algorithmes et complexité).

Simon Abelard

PhD thesis, 2018

Counting points on genus-3 hyperelliptic curves with explicit real multiplication.

Simon Abelard, Pierrick Gaudry, Pierre-Jean Spaenlehauer

CoRR, 2018